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200211000122100 = 223521197916196507
BaseRepresentation
bin101101100001011101000001…
…100010101101101011110100
3222020212222120211120211210110
4231201131001202231223310
5202220224112012401400
61545451355210223020
760112524136623402
oct5541350142555364
9866788524524713
10200211000122100
1158880010096050
121a556296a24a70
138793a7c549136
14376239aa08472
151822e330c8e50
hexb617418adaf4

200211000122100 has 144 divisors (see below), whose sum is σ = 632003365195776. Its totient is φ = 48531034992000.

The previous prime is 200211000122047. The next prime is 200211000122101. The reversal of 200211000122100 is 1221000112002.

200211000122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211000122101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29212047 + ... + 35408553.

It is an arithmetic number, because the mean of its divisors is an integer number (4388912258304).

Almost surely, 2200211000122100 is an apocalyptic number.

200211000122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200211000122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316001682597888).

200211000122100 is an abundant number, since it is smaller than the sum of its proper divisors (431792365073676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200211000122100 is a wasteful number, since it uses less digits than its factorization.

200211000122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206326 (or 6206319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200211000122100 its reverse (1221000112002), we get a palindrome (201432000234102).

The spelling of 200211000122100 in words is "two hundred trillion, two hundred eleven billion, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 9791 19582 29373 39164 48955 58746 97910 107701 117492 146865 195820 215402 244775 293730 323103 430804 489550 538505 587460 646206 734325 979100 1077010 1292412 1468650 1615515 2154020 2692525 2937300 3231030 5385050 6196507 6462060 8077575 10770100 12393014 16155150 18589521 24786028 30982535 32310300 37179042 61965070 68161577 74358084 92947605 123930140 136323154 154912675 185895210 204484731 272646308 309825350 340807885 371790420 408969462 464738025 619650700 681615770 817938924 929476050 1022423655 1363231540 1704039425 1858952100 2044847310 3408078850 4089694620 5112118275 6816157700 10224236550 20448473100 60670000037 121340000074 182010000111 242680000148 303350000185 364020000222 606700000370 667370000407 728040000444 910050000555 1213400000740 1334740000814 1516750000925 1820100001110 2002110001221 2669480001628 3033500001850 3336850002035 3640200002220 4004220002442 4550250002775 6067000003700 6673700004070 8008440004884 9100500005550 10010550006105 13347400008140 16684250010175 18201000011100 20021100012210 33368500020350 40042200024420 50052750030525 66737000040700 100105500061050 200211000122100