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10102432224 = 253617170557
BaseRepresentation
bin10010110100010011…
…01110000111100000
3222002001111201201110
421122021232013200
5131142210312344
64350242103320
7505230154113
oct113211560740
928061451643
1010102432224
114314617945
121b5b34ab40
13c4cca3061
146bb9c857a
153e1d933b9
hex25a26e1e0

10102432224 has 48 divisors (see below), whose sum is σ = 26562020688. Its totient is φ = 3361999872.

The previous prime is 10102432213. The next prime is 10102432229. The reversal of 10102432224 is 42223420101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10102432224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102432229) 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, 26047 + ... + 144510.

It is an arithmetic number, because the mean of its divisors is an integer number (553375431).

Almost surely, 210102432224 is an apocalyptic number.

It is an amenable number.

10102432224 is an abundant number, since it is smaller than the sum of its proper divisors (16459588464).

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

10102432224 is a wasteful number, since it uses less digits than its factorization.

10102432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171187 (or 171179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10102432224 its reverse (42223420101), we get a palindrome (52325852325).

The spelling of 10102432224 in words is "ten billion, one hundred two million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 617 1234 1851 2468 3702 4936 7404 9872 14808 19744 29616 59232 170557 341114 511671 682228 1023342 1364456 2046684 2728912 4093368 5457824 8186736 16373472 105233669 210467338 315701007 420934676 631402014 841869352 1262804028 1683738704 2525608056 3367477408 5051216112 10102432224