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1101100100220 = 2232535360728549
BaseRepresentation
bin10000000001011110101…
…011100010101001111100
310220021010120002122112100
4100001132223202221330
5121020023111201340
62201501032305100
7142360200265551
oct20013653425174
93807116078470
101101100100220
11394a7933462a
12159498242190
137caaa992753
143b417630a28
151d997356830
hex1005eae2a7c

1101100100220 has 144 divisors (see below), whose sum is σ = 3355100985600. Its totient is φ = 292302286848.

The previous prime is 1101100100189. The next prime is 1101100100251. The reversal of 1101100100220 is 220010011011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1101100100189) and next prime (1101100100251).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38554506 + ... + 38583054.

It is an arithmetic number, because the mean of its divisors is an integer number (23299312400).

Almost surely, 21101100100220 is an apocalyptic number.

1101100100220 is a gapful number since it is divisible by the number (10) 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 1101100100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677550492800).

1101100100220 is an abundant number, since it is smaller than the sum of its proper divisors (2254000885380).

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

1101100100220 is a wasteful number, since it uses less digits than its factorization.

1101100100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29524 (or 29519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101100100220 its reverse (220010011011), we get a palindrome (1321110111231).

The spelling of 1101100100220 in words is "one trillion, one hundred one billion, one hundred million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 607 706 1059 1214 1412 1765 1821 2118 2428 3035 3177 3530 3642 4236 5295 5463 6070 6354 7060 7284 9105 10590 10926 12140 12708 15885 18210 21180 21852 27315 28549 31770 36420 54630 57098 63540 85647 109260 114196 142745 171294 214271 256941 285490 342588 428235 428542 513882 570980 642813 856470 857084 1027764 1071355 1284705 1285626 1712940 1928439 2142710 2569410 2571252 3214065 3856878 4285420 5138820 6428130 7713756 9642195 10077797 12856260 17329243 19284390 20155594 30233391 34658486 38568780 40311188 50388985 51987729 60466782 69316972 86646215 90700173 100777970 103975458 120933564 151166955 155963187 173292430 181400346 201555940 207950916 259938645 302333910 311926374 346584860 362800692 453500865 519877290 604667820 623852748 779815935 907001730 1039754580 1559631870 1814003460 3119263740 6117222779 12234445558 18351668337 24468891116 30586113895 36703336674 55055005011 61172227790 73406673348 91758341685 110110010022 122344455580 183516683370 220220020044 275275025055 367033366740 550550050110 1101100100220