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121023321100 = 2252113110334457
BaseRepresentation
bin111000010110110001…
…1010101010000001100
3102120101022201201010221
41300231203111100030
53440323432233400
6131333005441124
711513033153563
oct1605543252014
9376338651127
10121023321100
1147364567440
121b5565701a4
13b5491cb506
145c01204bda
153234c41c1a
hex1c2d8d540c

121023321100 has 144 divisors (see below), whose sum is σ = 298616887296. Its totient is φ = 42174144000.

The previous prime is 121023321071. The next prime is 121023321119. The reversal of 121023321100 is 1123320121.

121023321100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495072 + ... + 3529528.

It is an arithmetic number, because the mean of its divisors is an integer number (2073728384).

Almost surely, 2121023321100 is an apocalyptic number.

121023321100 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 121023321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149308443648).

121023321100 is an abundant number, since it is smaller than the sum of its proper divisors (177593566196).

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

121023321100 is a wasteful number, since it uses less digits than its factorization.

121023321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34616 (or 34609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121023321100 its reverse (1123320121), we get a palindrome (122146641221).

The spelling of 121023321100 in words is "one hundred twenty-one billion, twenty-three million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 103 110 124 155 206 220 275 310 341 412 515 550 620 682 775 1030 1100 1133 1364 1550 1705 2060 2266 2575 3100 3193 3410 4532 5150 5665 6386 6820 8525 10300 11330 12772 15965 17050 22660 28325 31930 34100 34457 35123 56650 63860 68914 70246 79825 113300 137828 140492 159650 172285 175615 319300 344570 351230 379027 689140 702460 758054 861425 878075 1068167 1516108 1722850 1756150 1895135 2136334 3445700 3512300 3549071 3790270 4272668 5340835 7098142 7580540 9475675 10681670 11749837 14196284 17745355 18951350 21363340 23499674 26704175 35490710 37902700 39039781 46999348 53408350 58749185 70981420 78079562 88726775 106816700 110021201 117498370 156159124 177453550 195198905 220042402 234996740 293745925 354907100 390397810 440084804 550106005 587491850 780795620 975994525 1100212010 1174983700 1210233211 1951989050 2200424020 2420466422 2750530025 3903978100 4840932844 5501060050 6051166055 11002120100 12102332110 24204664220 30255830275 60511660550 121023321100