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121003130013210 = 232510118017391269
BaseRepresentation
bin11011100000110100111100…
…100101001100011000011010
3120212102210020011212121100200
4123200310330211030120122
5111330003402240410320
61105204023122243030
734326121235463144
oct3340647445143032
9525383204777320
10121003130013210
1135612159390385
12116a32734b6476
135269713ccb523
1421c4823083c94
15dec880a93290
hex6e0d3c94c61a

121003130013210 has 96 divisors (see below), whose sum is σ = 317899527912720. Its totient is φ = 31930277760000.

The previous prime is 121003130013179. The next prime is 121003130013263. The reversal of 121003130013210 is 12310031300121.

121003130013210 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 31 + 300 + 1 + 321 + 0 = 666.

121003130013210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 40911924515049 + 80091205498161 = 6396243^2 + 8949369^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12675456 + ... + 20066724.

Almost surely, 2121003130013210 is an apocalyptic number.

121003130013210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121003130013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158949763956360).

121003130013210 is an abundant number, since it is smaller than the sum of its proper divisors (196896397899510).

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

121003130013210 is a wasteful number, since it uses less digits than its factorization.

121003130013210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7393184 (or 7393181 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121003130013210 its reverse (12310031300121), we get a palindrome (133313161313331).

The spelling of 121003130013210 in words is "one hundred twenty-one trillion, three billion, one hundred thirty million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1801 1818 3030 3602 4545 5403 9005 9090 10806 16209 18010 27015 32418 54030 81045 162090 181901 363802 545703 909505 1091406 1637109 1819010 2728515 3274218 5457030 7391269 8185545 14782538 16371090 22173807 36956345 44347614 66521421 73912690 110869035 133042842 221738070 332607105 665214210 746518169 1493036338 2239554507 3732590845 4479109014 6718663521 7465181690 11197772535 13311675469 13437327042 22395545070 26623350938 33593317605 39935026407 66558377345 67186635210 79870052814 119805079221 133116754690 199675132035 239610158442 399350264070 599025396105 1198050792210 1344479222369 2688958444738 4033437667107 6722396111845 8066875334214 12100313001321 13444792223690 20167188335535 24200626002642 40334376671070 60501565006605 121003130013210