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21303132120 = 23325193114493
BaseRepresentation
bin10011110101110000…
…111111111111011000
32000222122121020110100
4103311300333333120
5322112100211440
613441520015400
71352624430624
oct236560777730
960878536410
1021303132120
119042076516
124166461560
13201666b42a
1410613c0184
1584a379230
hex4f5c3ffd8

21303132120 has 96 divisors (see below), whose sum is σ = 72879159600. Its totient is φ = 5381842176.

The previous prime is 21303132107. The next prime is 21303132131. The reversal of 21303132120 is 2123130312.

21303132120 is a `hidden beast` number, since 21 + 303 + 1 + 321 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21303132093 and 21303132102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1550407 + ... + 1564086.

Almost surely, 221303132120 is an apocalyptic number.

21303132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21303132120 is an abundant number, since it is smaller than the sum of its proper divisors (51576027480).

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

21303132120 is a wasteful number, since it uses less digits than its factorization.

21303132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114529 (or 3114522 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21303132120 its reverse (2123130312), we get a palindrome (23426262432).

The spelling of 21303132120 in words is "twenty-one billion, three hundred three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 3114493 6228986 9343479 12457972 15572465 18686958 24915944 28030437 31144930 37373916 46717395 56060874 59175367 62289860 74747832 93434790 112121748 118350734 124579720 140152185 177526101 186869580 224243496 236701468 280304370 295876835 355052202 373739160 473402936 532578303 560608740 591753670 710104404 887630505 1065156606 1121217480 1183507340 1420208808 1775261010 2130313212 2367014680 2662891515 3550522020 4260626424 5325783030 7101044040 10651566060 21303132120