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210203121122120 = 23573167237046237
BaseRepresentation
bin101111110010110110111010…
…010111010111101101001000
31000120021012222221002102112202
4233302312322113113231020
5210022431443001401440
62023021551501055332
762163450204015410
oct5762667227275510
91016235887072482
10210203121122120
1160a82708986835
121b6aa933b57548
13903a0b9248699
1439c9c57569640
151947ceb473615
hexbf2dba5d7b48

210203121122120 has 64 divisors (see below), whose sum is σ = 540692987028480. Its totient is φ = 72046884784896.

The previous prime is 210203121122053. The next prime is 210203121122123. The reversal of 210203121122120 is 21221121302012.

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 = 210203121122092 and 210203121122101.

It is not an unprimeable number, because it can be changed into a prime (210203121122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117636359 + ... + 119409878.

It is an arithmetic number, because the mean of its divisors is an integer number (8448327922320).

Almost surely, 2210203121122120 is an apocalyptic number.

210203121122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210203121122120 is an abundant number, since it is smaller than the sum of its proper divisors (330489865906360).

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

210203121122120 is a wasteful number, since it uses less digits than its factorization.

210203121122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237049422 (or 237049418 counting only the distinct ones).

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

Adding to 210203121122120 its reverse (21221121302012), we get a palindrome (231424242424132).

The spelling of 210203121122120 in words is "two hundred ten trillion, two hundred three billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3167 6334 12668 15835 22169 25336 31670 44338 63340 88676 110845 126680 177352 221690 443380 886760 237046237 474092474 948184948 1185231185 1659323659 1896369896 2370462370 3318647318 4740924740 6637294636 8296618295 9481849480 13274589272 16593236590 33186473180 66372946360 750725432579 1501450865158 3002901730316 3753627162895 5255078028053 6005803460632 7507254325790 10510156056106 15014508651580 21020312112212 26275390140265 30029017303160 42040624224424 52550780280530 105101560561060 210203121122120