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123103113012330 = 235114367712814391
BaseRepresentation
bin11011111111011000101101…
…010100100110010001101010
3121010212112122121101001202020
4123333120231110212101222
5112113410133412343310
61113452442302045310
734633622620451403
oct3377305524462152
9533775577331666
10123103113012330
1136251812005250
121198225b579836
13538c75c69c029
14225831860a9aa
15e372db54d170
hex6ff62d52646a

123103113012330 has 128 divisors (see below), whose sum is σ = 330289006012416. Its totient is φ = 29106092870400.

The previous prime is 123103113012329. The next prime is 123103113012349. The reversal of 123103113012330 is 33210311301321.

It is a self number, because there is not a number n which added to its sum of digits gives 123103113012330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3199435 + ... + 16013825.

It is an arithmetic number, because the mean of its divisors is an integer number (2580382859472).

Almost surely, 2123103113012330 is an apocalyptic number.

123103113012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123103113012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165144503006208).

123103113012330 is an abundant number, since it is smaller than the sum of its proper divisors (207185893000086).

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

123103113012330 is a wasteful number, since it uses less digits than its factorization.

123103113012330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12815132.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 123103113012330 its reverse (33210311301321), we get a palindrome (156313424313651).

The spelling of 123103113012330 in words is "one hundred twenty-three trillion, one hundred three billion, one hundred thirteen million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 677 946 1290 1354 1419 2031 2365 2838 3385 4062 4730 6770 7095 7447 10155 14190 14894 20310 22341 29111 37235 44682 58222 74470 87333 111705 145555 174666 223410 291110 320221 436665 640442 873330 960663 1601105 1921326 3202210 4803315 9606630 12814391 25628782 38443173 64071955 76886346 128143910 140958301 192215865 281916602 384431730 422874903 551018813 704791505 845749806 1102037626 1409583010 1653056439 2114374515 2755094065 3306112878 4228749030 5510188130 6061206943 8265282195 8675342707 12122413886 16530564390 17350685414 18183620829 26026028121 30306034715 36367241658 43376713535 52052056242 60612069430 86753427070 90918104145 95428769777 130130140605 181836208290 190857539554 260260281210 286286309331 373039736401 477143848885 572572618662 746079472802 954287697770 1119119209203 1431431546655 1865198682005 2238238418406 2862863093310 3730397364010 4103437100411 5595596046015 8206874200822 11191192092030 12310311301233 20517185502055 24620622602466 41034371004110 61551556506165 123103113012330