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123431431111020 = 2232519134691034941
BaseRepresentation
bin11100000100001010011110…
…100110110000000101101100
3121012000221002122210120000100
4130010022132212300011230
5112134300032331023040
61114303341110231100
734666424633320404
oct3404123646600554
9535027078716010
10123431431111020
1136368a8101419a
1211a15a08655490
1353b46c32b2346
14226a182663804
15e40b04d59b30
hex70429e9b016c

123431431111020 has 144 divisors (see below), whose sum is σ = 376477787911680. Its totient is φ = 32733247910400.

The previous prime is 123431431110989. The next prime is 123431431111031. The reversal of 123431431111020 is 20111134134321.

123431431111020 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 314 + 311 + 1 + 10 + 20 = 666.

It is a super-2 number, since 2×1234314311110202 (a number of 29 digits) contains 22 as substring.

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, 118746750 + ... + 119781690.

It is an arithmetic number, because the mean of its divisors is an integer number (2614429082720).

Almost surely, 2123431431111020 is an apocalyptic number.

123431431111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123431431111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188238893955840).

123431431111020 is an abundant number, since it is smaller than the sum of its proper divisors (253046356800660).

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

123431431111020 is a wasteful number, since it uses less digits than its factorization.

123431431111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038616 (or 1038611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 123431431111020 its reverse (20111134134321), we get a palindrome (143542565245341).

The spelling of 123431431111020 in words is "one hundred twenty-three trillion, four hundred thirty-one billion, four hundred thirty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3469 3820 5730 6876 6938 8595 10407 11460 13876 17190 17345 20814 31221 34380 34690 41628 52035 62442 69380 104070 124884 156105 208140 312210 624420 662579 1034941 1325158 1987737 2069882 2650316 3104823 3312895 3975474 4139764 5174705 5963211 6209646 6625790 7950948 9314469 9938685 10349410 11926422 12419292 13251580 15524115 18628938 19877370 20698820 23852844 29816055 31048230 37257876 39754740 46572345 59632110 62096460 93144690 119264220 186289380 197673731 395347462 593021193 790694924 988368655 1186042386 1779063579 1976737310 2372084772 2965105965 3558127158 3590210329 3953474620 5930211930 7116254316 7180420658 8895317895 10770630987 11860423860 14360841316 17790635790 17951051645 21541261974 32311892961 35581271580 35902103290 43082523948 53853154935 64623785922 71804206580 107706309870 129247571844 161559464805 215412619740 323118929610 646237859220 685730172839 1371460345678 2057190518517 2742920691356 3428650864195 4114381037034 6171571555551 6857301728390 8228762074068 10285952592585 12343143111102 13714603456780 20571905185170 24686286222204 30857857777755 41143810370340 61715715555510 123431431111020