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10132243920 = 2432514072561
BaseRepresentation
bin10010110111110110…
…11100010111010000
3222011010121022200100
421123323130113100
5131222323301140
64353225052400
7506041436511
oct113373342720
928133538610
1010132243920
11432a429907
121b69327100
13c56210406
146c1948a08
153e47d1530
hex25bedc5d0

10132243920 has 60 divisors (see below), whose sum is σ = 34027454916. Its totient is φ = 2701931520.

The previous prime is 10132243871. The next prime is 10132243921. The reversal of 10132243920 is 2934223101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1267644816 + 8864599104 = 35604^2 + 94152^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×101322439203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132243921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7035561 + ... + 7037000.

Almost surely, 210132243920 is an apocalyptic number.

10132243920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132243920 is an abundant number, since it is smaller than the sum of its proper divisors (23895210996).

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

10132243920 is a wasteful number, since it uses less digits than its factorization.

10132243920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14072580 (or 14072571 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10132243920 in words is "ten billion, one hundred thirty-two million, two hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14072561 28145122 42217683 56290244 70362805 84435366 112580488 126653049 140725610 168870732 211088415 225160976 253306098 281451220 337741464 422176830 506612196 562902440 633265245 675482928 844353660 1013224392 1125804880 1266530490 1688707320 2026448784 2533060980 3377414640 5066121960 10132243920