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210202110000120 = 23357250240607143
BaseRepresentation
bin101111110010110101111110…
…000110001111101111111000
31000120021010101110111002220210
4233302311332012033233320
5210022422410130000440
62023021303301151120
762163413145433020
oct5762657606175770
91016233343432823
10210202110000120
1160a8223a156917
121b6aa6b13bb4a0
139039c87916044
1439c9b9d164a80
151947c8c7e6a80
hexbf2d7e18fbf8

210202110000120 has 64 divisors (see below), whose sum is σ = 720692948574720. Its totient is φ = 48046196571264.

The previous prime is 210202110000083. The next prime is 210202110000131. The reversal of 210202110000120 is 21000011202012.

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 = 210202110000096 and 210202110000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125120302732 + ... + 125120304411.

It is an arithmetic number, because the mean of its divisors is an integer number (11260827321480).

Almost surely, 2210202110000120 is an apocalyptic number.

210202110000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202110000120 is an abundant number, since it is smaller than the sum of its proper divisors (510490838574600).

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

210202110000120 is a wasteful number, since it uses less digits than its factorization.

210202110000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250240607164 (or 250240607160 counting only the distinct ones).

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

Adding to 210202110000120 its reverse (21000011202012), we get a palindrome (231202121202132).

The spelling of 210202110000120 in words is "two hundred ten trillion, two hundred two billion, one hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 250240607143 500481214286 750721821429 1000962428572 1251203035715 1501443642858 1751684250001 2001924857144 2502406071430 3002887285716 3503368500002 3753609107145 5004812142860 5255052750003 6005774571432 7006737000004 7507218214290 8758421250005 10009624285720 10510105500006 14013474000008 15014436428580 17516842500010 21020211000012 26275263750015 30028872857160 35033685000020 42040422000024 52550527500030 70067370000040 105101055000060 210202110000120