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10214511312 = 243297338011
BaseRepresentation
bin10011000001101010…
…10001001011010000
3222100212101221022210
421200311101023100
5131404403330222
64405324232120
7511060625235
oct114065211320
928325357283
1010214511312
114371909595
121b9099b640
13c6a285845
146cc84178c
153ebb31d0c
hex260d512d0

10214511312 has 40 divisors (see below), whose sum is σ = 27297404640. Its totient is φ = 3287428480.

The previous prime is 10214511287. The next prime is 10214511323. The reversal of 10214511312 is 21311541201.

It is a super-2 number, since 2×102145113122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3667614 + ... + 3670397.

It is an arithmetic number, because the mean of its divisors is an integer number (682435116).

Almost surely, 210214511312 is an apocalyptic number.

10214511312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10214511312 is an abundant number, since it is smaller than the sum of its proper divisors (17082893328).

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

10214511312 is a wasteful number, since it uses less digits than its factorization.

10214511312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338051 (or 7338045 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 10214511312 in words is "ten billion, two hundred fourteen million, five hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 7338011 14676022 22014033 29352044 44028066 58704088 88056132 117408176 176112264 212802319 352224528 425604638 638406957 851209276 1276813914 1702418552 2553627828 3404837104 5107255656 10214511312