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202000102122112 = 2772323941012651
BaseRepresentation
bin101101111011011111010000…
…010101001110001010000000
3222111020000120102122020201221
4231323133100111032022000
5202434032202120401422
61553341322115204424
760356011560663640
oct5573372025161200
9874200512566657
10202000102122112
11593aa842574a78
121a7a4b815a6714
1388936b2a2a928
1437c4bddc98520
151854745ee03c7
hexb7b7d054e280

202000102122112 has 128 divisors (see below), whose sum is σ = 481915066060800. Its totient is φ = 82461018393600.

The previous prime is 202000102122107. The next prime is 202000102122113. The reversal of 202000102122112 is 211221201000202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202000102122113) by changing a digit.

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, 15581014 + ... + 25431637.

It is an arithmetic number, because the mean of its divisors is an integer number (3764961453600).

Almost surely, 2202000102122112 is an apocalyptic number.

It is an amenable number.

202000102122112 is an abundant number, since it is smaller than the sum of its proper divisors (279914963938688).

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

202000102122112 is a wasteful number, since it uses less digits than its factorization.

202000102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41012934 (or 41012922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202000102122112 its reverse (211221201000202), we get a palindrome (413221303122314).

The spelling of 202000102122112 in words is "two hundred two trillion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 239 322 368 448 478 644 736 896 956 1288 1472 1673 1912 2576 2944 3346 3824 5152 5497 6692 7648 10304 10994 13384 15296 20608 21988 26768 30592 38479 43976 53536 76958 87952 107072 153916 175904 214144 307832 351808 615664 703616 1231328 2462656 4925312 41012651 82025302 164050604 287088557 328101208 574177114 656202416 943290973 1148354228 1312404832 1886581946 2296708456 2624809664 3773163892 4593416912 5249619328 6603036811 7546327784 9186833824 9802023589 13206073622 15092655568 18373667648 19604047178 26412147244 30185311136 36747335296 39208094356 52824294488 60370622272 68614165123 78416188712 105648588976 120741244544 137228330246 156832377424 211297177952 225446542547 274456660492 313664754848 422594355904 450893085094 548913320984 627329509696 845188711808 901786170188 1097826641968 1254659019392 1578125797829 1803572340376 2195653283936 3156251595658 3607144680752 4391306567872 6312503191316 7214289361504 8782613135744 12625006382632 14428578723008 25250012765264 28857157446016 50500025530528 101000051061056 202000102122112