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10002520442031 = 3134714593740173
BaseRepresentation
bin1001000110001110010010…
…1011011000010010101111
31022102020020211212222022020
42101203210223120102233
52302340130213121111
633135032222521223
72051441531632635
oct221434453302257
938366224788266
1010002520442031
11320705502a467
12115667ba36213
13577306394340
142681a5b81355
151252c635a906
hex918e4ad84af

10002520442031 has 32 divisors (see below), whose sum is σ = 14678238059520. Its totient is φ = 6020300536704.

The previous prime is 10002520442017. The next prime is 10002520442111. The reversal of 10002520442031 is 13024402520001.

It is not a de Polignac number, because 10002520442031 - 211 = 10002520439983 is a prime.

It is a super-2 number, since 2×100025204420312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002520441992 and 10002520442010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002520444031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804261 + ... + 4544433.

It is an arithmetic number, because the mean of its divisors is an integer number (458694939360).

Almost surely, 210002520442031 is an apocalyptic number.

10002520442031 is a deficient number, since it is larger than the sum of its proper divisors (4675717617489).

10002520442031 is a wasteful number, since it uses less digits than its factorization.

10002520442031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741695.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10002520442031 its reverse (13024402520001), we get a palindrome (23026922962032).

The spelling of 10002520442031 in words is "ten trillion, two billion, five hundred twenty million, four hundred forty-two thousand, thirty-one".

Divisors: 1 3 13 39 47 141 611 1459 1833 4377 18967 56901 68573 205719 891449 2674347 3740173 11220519 48622249 145866747 175788131 527364393 2285245703 5456912407 6855737109 16370737221 70939861291 212819583873 256474883129 769424649387 3334173480677 10002520442031