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10020122122122 = 2327101787374047
BaseRepresentation
bin1001000111001111110111…
…0100011101011110001010
31022110220200112112222010200
42101303331310131132022
52303132202230401442
633151102555553030
72052633652511340
oct221637564353612
938426615488120
1010020122122122
113213567794212
121159b7275b776
13578b7cc20c68
14268d95723990
151259a678334c
hex91cfdd1d78a

10020122122122 has 48 divisors (see below), whose sum is σ = 25057391703552. Its totient is φ = 2834546565600.

The previous prime is 10020122122117. The next prime is 10020122122147. The reversal of 10020122122122 is 22122122102001.

It is a happy number.

10020122122122 is a `hidden beast` number, since 1 + 0 + 0 + 201 + 221 + 221 + 22 = 666.

It is a super-4 number, since 4×100201221221224 (a number of 53 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10020122122095 and 10020122122104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393674298 + ... + 393699749.

It is an arithmetic number, because the mean of its divisors is an integer number (522028993824).

Almost surely, 210020122122122 is an apocalyptic number.

10020122122122 is an abundant number, since it is smaller than the sum of its proper divisors (15037269581430).

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

10020122122122 is a wasteful number, since it uses less digits than its factorization.

10020122122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787374163 (or 787374160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10020122122122 its reverse (22122122102001), we get a palindrome (32142244224123).

The spelling of 10020122122122 in words is "ten trillion, twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 12726 787374047 1574748094 2362122141 4724244282 5511618329 7086366423 11023236658 14172732846 16534854987 33069709974 49604564961 79524778747 99209129922 159049557494 238574336241 477148672482 556673451229 715723008723 1113346902458 1431446017446 1670020353687 3340040707374 5010061061061 10020122122122