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10211123232 = 2532311143719
BaseRepresentation
bin10011000001010000…
…10110000000100000
3222100122000210202100
421200220112000200
5131403021420412
64405123450400
7511020054402
oct114050260040
928318023670
1010211123232
11436aa05022
121b8b826a00
13c6966a66b
146cc1dcb72
153eb6b2edc
hex260a16020

10211123232 has 72 divisors (see below), whose sum is σ = 29974613760. Its totient is φ = 3293907840.

The previous prime is 10211123191. The next prime is 10211123233. The reversal of 10211123232 is 23232111201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10211123233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562932 + ... + 580787.

It is an arithmetic number, because the mean of its divisors is an integer number (416314080).

Almost surely, 210211123232 is an apocalyptic number.

10211123232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211123232 is an abundant number, since it is smaller than the sum of its proper divisors (19763490528).

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

10211123232 is a wasteful number, since it uses less digits than its factorization.

10211123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143766 (or 1143755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10211123232 its reverse (23232111201), we get a palindrome (33443234433).

The spelling of 10211123232 in words is "ten billion, two hundred eleven million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 1143719 2287438 3431157 4574876 6862314 9149752 10293471 13724628 18299504 20586942 27449256 35455289 36599008 41173884 54898512 70910578 82347768 106365867 109797024 141821156 164695536 212731734 283642312 319097601 329391072 425463468 567284624 638195202 850926936 1134569248 1276390404 1701853872 2552780808 3403707744 5105561616 10211123232