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120121232003010 = 23357312050200239
BaseRepresentation
bin11011010011111111100111…
…010111010000111111000010
3120202022110220012011212212000
4123103333213113100333002
5111221031240343044020
61103250533203244430
734205321052205110
oct3323774727207702
9522273805155760
10120121232003010
1135302145a03437
1211580371679716
1352044ca9320b4
142193c81c76ab0
15dd4967869090
hex6d3fe75d0fc2

120121232003010 has 128 divisors (see below), whose sum is σ = 377892908236800. Its totient is φ = 26570595084480.

The previous prime is 120121232003009. The next prime is 120121232003027. The reversal of 120121232003010 is 10300232121021.

120121232003010 is a `hidden beast` number, since 1 + 20 + 1 + 21 + 2 + 320 + 0 + 301 + 0 = 666.

It is a super-2 number, since 2×1201212320030102 (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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1025041530 + ... + 1025158709.

It is an arithmetic number, because the mean of its divisors is an integer number (2952288345600).

Almost surely, 2120121232003010 is an apocalyptic number.

120121232003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120121232003010 is an abundant number, since it is smaller than the sum of its proper divisors (257771676233790).

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

120121232003010 is a wasteful number, since it uses less digits than its factorization.

120121232003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050200293 (or 2050200287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120121232003010 its reverse (10300232121021), we get a palindrome (130421464124031).

The spelling of 120121232003010 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred thirty-two million, three thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2790 3255 3906 4185 5859 6510 8370 9765 11718 19530 29295 58590 2050200239 4100400478 6150600717 10251001195 12301201434 14351401673 18451802151 20502002390 28702803346 30753003585 36903604302 43054205019 55355406453 61506007170 63556207409 71757008365 86108410038 92259010755 110710812906 127112414818 129162615057 143514016730 184518021510 190668622227 215271025095 258325230114 276777032265 317781037045 381337244454 387487845171 430542050190 444893451863 553554064530 572005866681 635562074090 645813075285 774975690342 889786903726 953343111135 1144011733362 1291626150570 1334680355589 1716017600043 1906686222270 1937439225855 2224467259315 2669360711178 2860029333405 3432035200086 3874878451710 4004041066767 4448934518630 5720058666810 6673401777945 8008082133534 8580088000215 12012123200301 13346803555890 17160176000430 20020205333835 24024246400602 40040410667670 60060616001505 120121232003010