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123411310401050 = 25272371361404417
BaseRepresentation
bin11100000011110111101111…
…010100010101011000011010
3121011222000011102010120210222
4130003313233110111120122
5112133432330430313200
61114250212345440042
734665113214154400
oct3403675724253032
9534860142116728
10123411310401050
1136360496438a71
1211a11b321a0022
1353b28378c25b9
1422691d4319470
15e403286e7d85
hex703def51561a

123411310401050 has 72 divisors (see below), whose sum is σ = 274238583153084. Its totient is φ = 41168869539840.

The previous prime is 123411310401037. The next prime is 123411310401103. The reversal of 123411310401050 is 50104013114321.

123411310401050 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 6 ways, for example, as 104854712339881 + 18556598061169 = 10239859^2 + 4307737^2 .

It is a super-2 number, since 2×1234113104010502 (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 35 ways as a sum of consecutive naturals, for example, 680611559 + ... + 680792858.

Almost surely, 2123411310401050 is an apocalyptic number.

123411310401050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123411310401050 is an abundant number, since it is smaller than the sum of its proper divisors (150827272752034).

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

123411310401050 is a wasteful number, since it uses less digits than its factorization.

123411310401050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361404480 (or 1361404468 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 123411310401050 its reverse (50104013114321), we get a palindrome (173515323515371).

The spelling of 123411310401050 in words is "one hundred twenty-three trillion, four hundred eleven billion, three hundred ten million, four hundred one thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 37 49 50 70 74 98 175 185 245 259 350 370 490 518 925 1225 1295 1813 1850 2450 2590 3626 6475 9065 12950 18130 45325 90650 1361404417 2722808834 6807022085 9529830919 13614044170 19059661838 34035110425 47649154595 50371963429 66708816433 68070220850 95298309190 100743926858 133417632866 238245772975 251859817145 333544082165 352603744003 476491545950 503719634290 667088164330 705207488006 1259299085725 1667720410825 1763018720015 2468226208021 2518598171450 3335440821650 3526037440030 4936452416042 8815093600075 12341131040105 17630187200150 24682262080210 61705655200525 123411310401050