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210021012120 = 233519831109813
BaseRepresentation
bin1100001110011000111…
…0100101001010011000
3202002002201120211211110
43003212032211022120
511420110334341440
6240252103100320
721113342101533
oct3034616451230
9662081524743
10210021012120
11810844279a7
12348537416a0
1316a6048564a
14a244d53a1a
1556e30d3080
hex30e63a5298

210021012120 has 128 divisors (see below), whose sum is σ = 671215507200. Its totient is φ = 52418640384.

The previous prime is 210021012107. The next prime is 210021012163. The reversal of 210021012120 is 21210120012.

210021012120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 210021012096 and 210021012105.

It is a congruent number.

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, 365667 + ... + 744146.

It is an arithmetic number, because the mean of its divisors is an integer number (5243871150).

Almost surely, 2210021012120 is an apocalyptic number.

210021012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021012120 is an abundant number, since it is smaller than the sum of its proper divisors (461194495080).

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

210021012120 is a wasteful number, since it uses less digits than its factorization.

210021012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109929 (or 1109925 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210021012120 its reverse (21210120012), we get a palindrome (231231132132).

The spelling of 210021012120 in words is "two hundred ten billion, twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 83 95 114 120 152 166 190 228 249 285 332 380 415 456 498 570 664 760 830 996 1140 1245 1577 1660 1992 2280 2490 3154 3320 4731 4980 6308 7885 9462 9960 12616 15770 18924 23655 31540 37848 47310 63080 94620 189240 1109813 2219626 3329439 4439252 5549065 6658878 8878504 11098130 13317756 16647195 21086447 22196260 26635512 33294390 42172894 44392520 63259341 66588780 84345788 92114479 105432235 126518682 133177560 168691576 184228958 210864470 253037364 276343437 316296705 368457916 421728940 460572395 506074728 552686874 632593410 736915832 843457880 921144790 1105373748 1265186820 1381717185 1750175101 1842289580 2210747496 2530373640 2763434370 3500350202 3684579160 5250525303 5526868740 7000700404 8750875505 10501050606 11053737480 14001400808 17501751010 21002101212 26252626515 35003502020 42004202424 52505253030 70007004040 105010506060 210021012120