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10121002102332 = 2233118519362039
BaseRepresentation
bin1001001101000111101010…
…1111000010111000111100
31022211120002001000221022000
42103101322233002320330
52311310303014233312
633305305120022300
72063134603264662
oct223217257027074
938746061027260
1010121002102332
113252324918490
121175627161990
13585538b37944
1426dc055acc32
1512840cd92adc
hex9347abc2e3c

10121002102332 has 48 divisors (see below), whose sum is σ = 28625056454400. Its totient is φ = 3066970333680.

The previous prime is 10121002102327. The next prime is 10121002102369. The reversal of 10121002102332 is 23320120012101.

10121002102332 is a `hidden beast` number, since 1 + 0 + 121 + 0 + 0 + 210 + 2 + 332 = 666.

It is a super-3 number, since 3×101210021023323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4259679832 + ... + 4259682207.

It is an arithmetic number, because the mean of its divisors is an integer number (596355342800).

Almost surely, 210121002102332 is an apocalyptic number.

10121002102332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121002102332 is an abundant number, since it is smaller than the sum of its proper divisors (18504054352068).

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

10121002102332 is a wasteful number, since it uses less digits than its factorization.

10121002102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519362063 (or 8519362055 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121002102332 its reverse (23320120012101), we get a palindrome (33441122114433).

The spelling of 10121002102332 in words is "ten trillion, one hundred twenty-one billion, two million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 8519362039 17038724078 25558086117 34077448156 51116172234 76674258351 93712982429 102232344468 153348516702 187425964858 230022775053 281138947287 306697033404 374851929716 460045550106 562277894574 843416841861 920091100212 1124555789148 1686833683722 2530250525583 3373667367444 5060501051166 10121002102332