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202130320020120 = 233252780512019317
BaseRepresentation
bin101101111101011000100001…
…111011000101001010011000
3222111200110200112120212020100
4231331120201323011022120
5202443200343411120440
61553521215340455400
760401301521601312
oct5575304173051230
9874613615525210
10202130320020120
115944aa951410a8
121a80626324a560
1388a2a65ab519b
1437cb2342847b2
151857d18046230
hexb7d621ec5298

202130320020120 has 96 divisors (see below), whose sum is σ = 656926227987120. Its totient is φ = 53901198124800.

The previous prime is 202130320020107. The next prime is 202130320020127. The reversal of 202130320020120 is 21020023031202.

202130320020120 is a `hidden beast` number, since 2 + 0 + 21 + 303 + 200 + 20 + 120 = 666.

202130320020120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021303200201202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202130320020093 and 202130320020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202130320020127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99088702 + ... + 101108018.

Almost surely, 2202130320020120 is an apocalyptic number.

202130320020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202130320020120 is an abundant number, since it is smaller than the sum of its proper divisors (454795907967000).

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

202130320020120 is a wasteful number, since it uses less digits than its factorization.

202130320020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297385 (or 2297378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202130320020120 its reverse (21020023031202), we get a palindrome (223150343051322).

The spelling of 202130320020120 in words is "two hundred two trillion, one hundred thirty billion, three hundred twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 278051 556102 834153 1112204 1390255 1668306 2019317 2224408 2502459 2780510 3336612 4038634 4170765 5004918 5561020 6057951 6673224 8077268 8341530 10009836 10096585 11122040 12115902 12512295 16154536 16683060 18173853 20019672 20193170 24231804 25024590 30289755 33366120 36347706 40386340 48463608 50049180 60579510 72695412 80772680 90869265 100098360 121159020 145390824 181738530 242318040 363477060 726954120 561473111167 1122946222334 1684419333501 2245892444668 2807365555835 3368838667002 4491784889336 5053258000503 5614731111670 6737677334004 8422096667505 10106516001006 11229462223340 13475354668008 16844193335010 20213032002012 22458924446680 25266290002515 33688386670020 40426064004024 50532580005030 67376773340040 101065160010060 202130320020120