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10042002320 = 245717932147
BaseRepresentation
bin10010101101000110…
…01100101110010000
3221220211210120110212
421112203030232100
5131031223033240
64340242543252
7503564416460
oct112643145620
927824716425
1010042002320
1142934a2a79
121b43067b28
13c4060550c
146b3977ba0
153db908165
hex2568ccb90

10042002320 has 40 divisors (see below), whose sum is σ = 26683036224. Its totient is φ = 3442972032.

The previous prime is 10042002251. The next prime is 10042002337. The reversal of 10042002320 is 2320024001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10042002295 and 10042002304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8965514 + ... + 8966633.

Almost surely, 210042002320 is an apocalyptic number.

10042002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042002320 is an abundant number, since it is smaller than the sum of its proper divisors (16641033904).

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

10042002320 is a wasteful number, since it uses less digits than its factorization.

10042002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17932167 (or 17932161 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10042002320 its reverse (2320024001), we get a palindrome (12362026321).

The spelling of 10042002320 in words is "ten billion, forty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 17932147 35864294 71728588 89660735 125525029 143457176 179321470 251050058 286914352 358642940 502100116 627625145 717285880 1004200232 1255250290 1434571760 2008400464 2510500580 5021001160 10042002320