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122320132002 = 23232292104541
BaseRepresentation
bin111000111101011011…
…0010001011110100010
3102200201200220112021100
41301322312101132202
54001002423211002
6132105412535230
711560130652435
oct1617266213642
9380650815240
10122320132002
114796a586692
121b858921516
13b6c4a8aa43
145cc553581c
1532ada0211c
hex1c7ad917a2

122320132002 has 24 divisors (see below), whose sum is σ = 265109155740. Its totient is φ = 40760730720.

The previous prime is 122320131893. The next prime is 122320132009. The reversal of 122320132002 is 200231023221.

122320132002 is a `hidden beast` number, since 1 + 22 + 320 + 1 + 320 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120651327801 + 1668804201 = 347349^2 + 40851^2 .

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 (122320132009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994149 + ... + 1110392.

Almost surely, 2122320132002 is an apocalyptic number.

122320132002 is an abundant number, since it is smaller than the sum of its proper divisors (142789023738).

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

122320132002 is a wasteful number, since it uses less digits than its factorization.

122320132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107778 (or 2107775 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122320132002 its reverse (200231023221), we get a palindrome (322551155223).

The spelling of 122320132002 in words is "one hundred twenty-two billion, three hundred twenty million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 3229 6458 9687 19374 29061 58122 2104541 4209082 6313623 12627246 18940869 37881738 6795562889 13591125778 20386688667 40773377334 61160066001 122320132002