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10620132012 = 223274122867
BaseRepresentation
bin10011110010000001…
…00101101010101100
31000102010122121022200
421321000211222230
5133222223211022
64513454141500
7524114430000
oct117100455254
930363577280
1010620132012
11455a873406
1220847b1890
1310033145a9
1472a66a700
15422555bac
hex279025aac

10620132012 has 90 divisors (see below), whose sum is σ = 31317947388. Its totient is φ = 3034298736.

The previous prime is 10620132001. The next prime is 10620132031. The reversal of 10620132012 is 21023102601.

10620132012 is a `hidden beast` number, since 1 + 0 + 620 + 1 + 32 + 0 + 12 = 666.

It is a super-2 number, since 2×106201320122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25003 + ... + 147869.

Almost surely, 210620132012 is an apocalyptic number.

10620132012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10620132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658973694).

10620132012 is an abundant number, since it is smaller than the sum of its proper divisors (20697815376).

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

10620132012 is a wasteful number, since it uses less digits than its factorization.

10620132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122905 (or 122879 counting only the distinct ones).

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

Adding to 10620132012 its reverse (21023102601), we get a palindrome (31643234613).

The spelling of 10620132012 in words is "ten billion, six hundred twenty million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 21609 28812 43218 86436 122867 245734 368601 491468 737202 860069 1105803 1474404 1720138 2211606 2580207 3440276 4423212 5160414 6020483 7740621 10320828 12040966 15481242 18061449 24081932 30962484 36122898 42143381 54184347 72245796 84286762 108368694 126430143 168573524 216737388 252860286 295003667 379290429 505720572 590007334 758580858 885011001 1180014668 1517161716 1770022002 2655033003 3540044004 5310066006 10620132012