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10120132000 = 255311230003
BaseRepresentation
bin10010110110011010…
…01111010110100000
3222010021210222020201
421123031033112200
5131211223211000
64352113314544
7505533463006
oct113315172640
928107728221
1010120132000
114323606a60
121b65265a54
13c5385c4b4
146c00b4a76
153e36dc96a
hex25b34f5a0

10120132000 has 96 divisors (see below), whose sum is σ = 27125751744. Its totient is φ = 3680032000.

The previous prime is 10120131961. The next prime is 10120132081. The reversal of 10120132000 is 23102101.

10120132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71002 + ... + 159001.

It is an arithmetic number, because the mean of its divisors is an integer number (282559914).

Almost surely, 210120132000 is an apocalyptic number.

10120132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120132000 is an abundant number, since it is smaller than the sum of its proper divisors (17005619744).

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

10120132000 is a wasteful number, since it uses less digits than its factorization.

10120132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230039 (or 230021 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10120132000 its reverse (23102101), we get a palindrome (10143234101).

The spelling of 10120132000 in words is "ten billion, one hundred twenty million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 230003 460006 920012 1150015 1840024 2300030 2530033 3680048 4600060 5060066 5750075 7360096 9200120 10120132 11500150 12650165 18400240 20240264 23000300 25300330 28750375 36800480 40480528 46000600 50600660 57500750 63250825 80961056 92001200 101201320 115001500 126501650 184002400 202402640 230003000 253003300 316254125 404805280 460006000 506006600 632508250 920012000 1012013200 1265016500 2024026400 2530033000 5060066000 10120132000