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10102615424 = 27117175153
BaseRepresentation
bin10010110100010100…
…11010110110000000
3222002001212001000122
421122022122312000
5131142232143144
64350250035412
7505231546166
oct113212326600
928061761018
1010102615424
114314732550
121b5b418b68
13c50038565
146bba35236
153e1dcc7ee
hex25a29ad80

10102615424 has 32 divisors (see below), whose sum is σ = 21955971240. Its totient is φ = 4592097280.

The previous prime is 10102615423. The next prime is 10102615429. The reversal of 10102615424 is 42451620101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10102615393 and 10102615402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102615423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3586169 + ... + 3588984.

Almost surely, 210102615424 is an apocalyptic number.

It is an amenable number.

10102615424 is an abundant number, since it is smaller than the sum of its proper divisors (11853355816).

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

10102615424 is an equidigital number, since it uses as much as digits as its factorization.

10102615424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175178 (or 7175166 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

It can be divided in two parts, 10102 and 615424, that added together give a palindrome (625526).

The spelling of 10102615424 in words is "ten billion, one hundred two million, six hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 7175153 14350306 28700612 57401224 78926683 114802448 157853366 229604896 315706732 459209792 631413464 918419584 1262826928 2525653856 5051307712 10102615424