Search a number
-
+
123255435052050 = 23527405292896349
BaseRepresentation
bin11100000001100110100100…
…011011000100010000010010
3121011102002211012011102021220
4130001212210123010100102
5112123404112333131200
61114050433140025510
734650624403436640
oct3401464433042022
9534362735142256
10123255435052050
1136300377908194
12119a788b992296
1353a0c2603c292
142261848526190
15e3b253e044a0
hex7019a46c4412

123255435052050 has 96 divisors (see below), whose sum is σ = 349349858928000. Its totient is φ = 28171966018560.

The previous prime is 123255435052049. The next prime is 123255435052067. The reversal of 123255435052050 is 50250534552321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 123255435051993 and 123255435052011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41107276 + ... + 44003624.

It is an arithmetic number, because the mean of its divisors is an integer number (3639061030500).

Almost surely, 2123255435052050 is an apocalyptic number.

123255435052050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123255435052050 is an abundant number, since it is smaller than the sum of its proper divisors (226094423875950).

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

123255435052050 is a wasteful number, since it uses less digits than its factorization.

123255435052050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936900 (or 2936895 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 123255435052050 in words is "one hundred twenty-three trillion, two hundred fifty-five billion, four hundred thirty-five million, fifty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 40529 81058 121587 202645 243174 283703 405290 567406 607935 851109 1013225 1215870 1418515 1702218 2026450 2837030 2896349 3039675 4255545 5792698 6079350 7092575 8511090 8689047 14185150 14481745 17378094 20274443 21277725 28963490 40548886 42555450 43445235 60823329 72408725 86890470 101372215 121646658 144817450 202744430 217226175 304116645 434452350 506861075 608233290 1013722150 1520583225 3041166450 117386128621 234772257242 352158385863 586930643105 704316771726 821702900347 1173861286210 1643405800694 1760791929315 2465108701041 2934653215525 3521583858630 4108514501735 4930217402082 5869306431050 8217029003470 8803959646575 12325543505205 17607919293150 20542572508675 24651087010410 41085145017350 61627717526025 123255435052050