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122113141002 = 23683753869
BaseRepresentation
bin111000110111010000…
…0101010100100001010
3102200012021102022000000
41301232200222210022
54000041431003002
6132033100223430
711552035400226
oct1615640524412
9380167368000
10122113141002
1147873759246
121b7bb53ab76
13b690c26668
145ca5c53786
15329a76661c
hex1c6e82a90a

122113141002 has 28 divisors (see below), whose sum is σ = 274628939730. Its totient is φ = 40704379848.

The previous prime is 122113141001. The next prime is 122113141067. The reversal of 122113141002 is 200141311221.

122113141002 is a `hidden beast` number, since 1 + 221 + 1 + 31 + 410 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114398856441 + 7714284561 = 338229^2 + 87831^2 .

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 (122113141001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 41875477 + ... + 41878392.

Almost surely, 2122113141002 is an apocalyptic number.

122113141002 is an abundant number, since it is smaller than the sum of its proper divisors (152515798728).

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

122113141002 is an frugal number, since it uses more digits than its factorization.

122113141002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83753889 (or 83753874 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122113141002 its reverse (200141311221), we get a palindrome (322254452223).

The spelling of 122113141002 in words is "one hundred twenty-two billion, one hundred thirteen million, one hundred forty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 83753869 167507738 251261607 502523214 753784821 1507569642 2261354463 4522708926 6784063389 13568126778 20352190167 40704380334 61056570501 122113141002