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102001012122 = 23236797113731
BaseRepresentation
bin101111011111110111…
…0111110110110011010
3100202021121220021211210
41132333232332312122
53132344224341442
6114505243403550
710240452204042
oct1367756766632
9322247807753
10102001012122
113a292a04129
1217927b235b6
13980724c699
144d18b00722
1529bec4c19c
hex17bfbbed9a

102001012122 has 64 divisors (see below), whose sum is σ = 218278093824. Its totient is φ = 31706104320.

The previous prime is 102001012103. The next prime is 102001012301. The reversal of 102001012122 is 221210100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001012098 and 102001012107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839997 + ... + 953727.

It is an arithmetic number, because the mean of its divisors is an integer number (3410595216).

Almost surely, 2102001012122 is an apocalyptic number.

102001012122 is an abundant number, since it is smaller than the sum of its proper divisors (116277081702).

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

102001012122 is a wasteful number, since it uses less digits than its factorization.

102001012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113923.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102001012122 its reverse (221210100201), we get a palindrome (323211112323).

The spelling of 102001012122 in words is "one hundred two billion, one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 46 67 69 97 134 138 194 201 291 402 582 1541 2231 3082 4462 4623 6499 6693 9246 12998 13386 19497 38994 113731 149477 227462 298954 341193 448431 682386 896862 2615813 5231626 7619977 7847439 11031907 15239954 15694878 22063814 22859931 33095721 45719862 66191442 175259471 253733861 350518942 507467722 525778413 739137769 761201583 1051556826 1478275538 1522403166 2217413307 4434826614 17000168687 34000337374 51000506061 102001012122