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210131022120 = 233517195421337
BaseRepresentation
bin1100001110110011001…
…0001111000100101000
3202002101101120221011220
43003230302033010220
511420322020201440
6240311033022040
721116146134435
oct3035462170450
9662341527156
10210131022120
1181130536058
1234884554920
1316a7a1c2416
14a2557ccb8c
1556ecab38d0
hex30ecc8f128

210131022120 has 128 divisors (see below), whose sum is σ = 702605404800. Its totient is φ = 49963032576.

The previous prime is 210131022119. The next prime is 210131022149. The reversal of 210131022120 is 21220131012.

210131022120 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210131022120.

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 31 ways as a sum of consecutive naturals, for example, 2671909 + ... + 2749428.

It is an arithmetic number, because the mean of its divisors is an integer number (5489104725).

Almost surely, 2210131022120 is an apocalyptic number.

210131022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210131022120 is an abundant number, since it is smaller than the sum of its proper divisors (492474382680).

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

210131022120 is a wasteful number, since it uses less digits than its factorization.

210131022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421387 (or 5421383 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 210131022120 its reverse (21220131012), we get a palindrome (231351153132).

The spelling of 210131022120 in words is "two hundred ten billion, one hundred thirty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1615 1938 2040 2280 2584 3230 3876 4845 6460 7752 9690 12920 19380 38760 5421337 10842674 16264011 21685348 27106685 32528022 43370696 54213370 65056044 81320055 92162729 103005403 108426740 130112088 162640110 184325458 206010806 216853480 276488187 309016209 325280220 368650916 412021612 460813645 515027015 552976374 618032418 650560440 737301832 824043224 921627290 1030054030 1105952748 1236064836 1382440935 1545081045 1751091851 1843254580 2060108060 2211905496 2472129672 2764881870 3090162090 3502183702 3686509160 4120216120 5253275553 5529763740 6180324180 7004367404 8755459255 10506551106 11059527480 12360648360 14008734808 17510918510 21013102212 26266377765 35021837020 42026204424 52532755530 70043674040 105065511060 210131022120