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210021213122120 = 23561127216766313
BaseRepresentation
bin101111110000001101011111…
…110011011010111001001000
31000112121211110110002120100102
4233300031133303122321020
5210011441421024401440
62022402225141224532
762144350306356161
oct5760153763327110
91015554413076312
10210021213122120
1160a12550624a54
121b67b627402148
139025bb922c16a
1439c111c1c2768
1519432014cbb15
hexbf035fcdae48

210021213122120 has 64 divisors (see below), whose sum is σ = 480332240630640. Its totient is φ = 82624789094400.

The previous prime is 210021213122117. The next prime is 210021213122131. The reversal of 210021213122120 is 21221312120012.

It can be written as a sum of positive squares in 8 ways, for example, as 141455294676004 + 68565918446116 = 11893498^2 + 8280454^2 .

It is a super-2 number, since 2×2100212131221202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210021213122092 and 210021213122101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27656084 + ... + 34422396.

Almost surely, 2210021213122120 is an apocalyptic number.

210021213122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021213122120 is an abundant number, since it is smaller than the sum of its proper divisors (270311027508520).

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

210021213122120 is a wasteful number, since it uses less digits than its factorization.

210021213122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779106 (or 6779102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 210021213122120 its reverse (21221312120012), we get a palindrome (231242525242132).

The spelling of 210021213122120 in words is "two hundred ten trillion, twenty-one billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 12721 25442 50884 63605 101768 127210 254420 508840 775981 1551962 3103924 3879905 6207848 6766313 7759810 13532626 15519620 27065252 31039240 33831565 54130504 67663130 135326260 270652520 412745093 825490186 1650980372 2063725465 3301960744 4127450930 8254901860 16509803720 86074267673 172148535346 344297070692 430371338365 688594141384 860742676730 1721485353460 3442970706920 5250530328053 10501060656106 21002121312212 26252651640265 42004242624424 52505303280530 105010606561060 210021213122120