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123021311102030 = 25112231092372061
BaseRepresentation
bin11011111110001100100001…
…100011000100110001001110
3121010120201111200122110111202
4123332030201203010301032
5112111040121120231110
61113351113215145502
734624665525625115
oct3376144143046116
9533521450573452
10123021311102030
1136220054a5a300
121196a430215292
135384b24158803
14225439841cc7c
15e350eec9a0a5
hex6fe3218c4c4e

123021311102030 has 144 divisors (see below), whose sum is σ = 256333936515552. Its totient is φ = 42397338297600.

The previous prime is 123021311102023. The next prime is 123021311102051. The reversal of 123021311102030 is 30201113120321.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123021311101993 and 123021311102011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 330462200 + ... + 330834260.

It is an arithmetic number, because the mean of its divisors is an integer number (1780096781358).

Almost surely, 2123021311102030 is an apocalyptic number.

123021311102030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123021311102030 is an abundant number, since it is smaller than the sum of its proper divisors (133312625413522).

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

123021311102030 is a wasteful number, since it uses less digits than its factorization.

123021311102030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372331 (or 372211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123021311102030 its reverse (30201113120321), we get a palindrome (153222424222351).

The spelling of 123021311102030 in words is "one hundred twenty-three trillion, twenty-one billion, three hundred eleven million, one hundred two thousand, thirty".

Divisors: 1 2 5 10 11 22 23 46 55 109 110 115 121 218 230 242 253 506 545 605 1090 1199 1210 1265 2398 2507 2530 2783 5014 5566 5995 11881 11990 12535 13189 13915 23762 25070 26378 27577 27830 55154 59405 65945 118810 130691 131890 137885 261382 273263 275770 303347 372061 546526 606694 653455 744122 1306910 1366315 1437601 1516735 1860305 2732630 2875202 3005893 3033470 3720610 4092671 6011786 7188005 8185342 8557403 14376010 15029465 17114806 20463355 30058930 33064823 40554649 40926710 42787015 45019381 66129646 81109298 85574030 90038762 94131433 165324115 188262866 202773245 225096905 330648230 405546490 446101139 450193810 470657165 892202278 932756927 941314330 1035445763 1865513854 2070891526 2230505695 4420456741 4461011390 4663784635 4907112529 5177228815 8840913482 9327569270 9814225058 10260326197 10354457630 20520652394 22102283705 24535562645 44204567410 48625024151 49071125290 51301630985 97250048302 101670505043 102603261970 112863588167 203341010086 225727176334 243125120755 486250241510 508352525215 534875265661 564317940835 1016705050430 1069750531322 1118375555473 1128635881670 2236751110946 2674376328305 5348752656610 5591877777365 11183755554730 12302131110203 24604262220406 61510655551015 123021311102030