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102202122132024 = 23319921399104299
BaseRepresentation
bin10111001111001111001001…
…001011110101101000111000
3111101212102112121121112121120
4113033033021023311220320
5101343434421231211044
61001211001242305240
730345600601340205
oct2717171113655070
9441772477545546
10102202122132024
112a6237495a3382
12b567557ab8220
134504807565cb5
141b34875550cac
15bc37a21ab519
hex5cf3c92f5a38

102202122132024 has 32 divisors (see below), whose sum is σ = 256789251600000. Its totient is φ = 33896181208032.

The previous prime is 102202122132023. The next prime is 102202122132031. The reversal of 102202122132024 is 420231221202201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102202122131985 and 102202122132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202122132023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10699547374 + ... + 10699556925.

It is an arithmetic number, because the mean of its divisors is an integer number (8024664112500).

Almost surely, 2102202122132024 is an apocalyptic number.

It is an amenable number.

102202122132024 is an abundant number, since it is smaller than the sum of its proper divisors (154587129467976).

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

102202122132024 is a wasteful number, since it uses less digits than its factorization.

102202122132024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21399104507 (or 21399104503 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102202122132024 its reverse (420231221202201), we get a palindrome (522433343334225).

The spelling of 102202122132024 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 199 398 597 796 1194 1592 2388 4776 21399104299 42798208598 64197312897 85596417196 128394625794 171192834392 256789251588 513578503176 4258421755501 8516843511002 12775265266503 17033687022004 25550530533006 34067374044008 51101061066012 102202122132024