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10220020512 = 253138189119
BaseRepresentation
bin10011000010010100…
…10010001100100000
3222101020202211112020
421201022102030200
5131412311124022
64410042301440
7511155512112
oct114112221440
928336684466
1010220020512
114374a31749
121b927b7880
13c6b464320
146cd4773b2
153ec36e35c
hex261292320

10220020512 has 48 divisors (see below), whose sum is σ = 28891215360. Its totient is φ = 3144621312.

The previous prime is 10220020493. The next prime is 10220020519. The reversal of 10220020512 is 21502002201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10220020491 and 10220020500.

It is not an unprimeable number, because it can be changed into a prime (10220020519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4093312 + ... + 4095807.

It is an arithmetic number, because the mean of its divisors is an integer number (601900320).

Almost surely, 210220020512 is an apocalyptic number.

10220020512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220020512 is an abundant number, since it is smaller than the sum of its proper divisors (18671194848).

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

10220020512 is a wasteful number, since it uses less digits than its factorization.

10220020512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189145 (or 8189137 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10220020512 its reverse (21502002201), we get a palindrome (31722022713).

The spelling of 10220020512 in words is "ten billion, two hundred twenty million, twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8189119 16378238 24567357 32756476 49134714 65512952 98269428 106458547 131025904 196538856 212917094 262051808 319375641 393077712 425834188 638751282 786155424 851668376 1277502564 1703336752 2555005128 3406673504 5110010256 10220020512