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123121132002 = 23311207274633
BaseRepresentation
bin111001010101010010…
…1110110000111100010
3102202210112010112201000
41302222211312013202
54004123002211002
6132321105052430
711616025232421
oct1625245660742
9382715115630
10123121132002
114824073a860
121ba41027116
13b7c1a00b3b
145d5da812b8
153308ec561c
hex1caa9761e2

123121132002 has 32 divisors (see below), whose sum is σ = 298475472960. Its totient is φ = 37309433760.

The previous prime is 123121131997. The next prime is 123121132003. The reversal of 123121132002 is 200231121321.

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

It is not an unprimeable number, because it can be changed into a prime (123121132003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103636723 + ... + 103637910.

It is an arithmetic number, because the mean of its divisors is an integer number (9327358530).

Almost surely, 2123121132002 is an apocalyptic number.

123121132002 is an abundant number, since it is smaller than the sum of its proper divisors (175354340958).

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

123121132002 is a wasteful number, since it uses less digits than its factorization.

123121132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207274655 (or 207274649 counting only the distinct ones).

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

Adding to 123121132002 its reverse (200231121321), we get a palindrome (323352253323).

The spelling of 123121132002 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 207274633 414549266 621823899 1243647798 1865471697 2280020963 3730943394 4560041926 5596415091 6840062889 11192830182 13680125778 20520188667 41040377334 61560566001 123121132002