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123007362140 = 2251323169912107
BaseRepresentation
bin111001010001111001…
…1110110010001011100
3102202111121001102210102
41302203303312101130
54003404341042030
6132301522400232
711613144220025
oct1624363662134
9382447042712
10123007362140
11481924a3883
121ba0ab00078
13b7a42788b0
145d4c907c4c
1532ee000c45
hex1ca3cf645c

123007362140 has 96 divisors (see below), whose sum is σ = 290475763200. Its totient is φ = 43414246656.

The previous prime is 123007362119. The next prime is 123007362157. The reversal of 123007362140 is 41263700321.

It is a happy number.

It is a super-2 number, since 2×1230073621402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10153967 + ... + 10166073.

It is an arithmetic number, because the mean of its divisors is an integer number (3025789200).

Almost surely, 2123007362140 is an apocalyptic number.

123007362140 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 123007362140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145237881600).

123007362140 is an abundant number, since it is smaller than the sum of its proper divisors (167468401060).

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

123007362140 is a wasteful number, since it uses less digits than its factorization.

123007362140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13851 (or 13849 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 123007362140 in words is "one hundred twenty-three billion, seven million, three hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 1699 2990 3398 5980 6796 8495 12107 16990 22087 24214 33980 39077 44174 48428 60535 78154 88348 110435 121070 156308 157391 195385 220870 242140 278461 314782 390770 441740 508001 556922 629564 781540 786955 1016002 1113844 1392305 1573910 2032004 2540005 2784610 3147820 3619993 5080010 5569220 7239986 10160020 14479972 18099965 20569793 36199930 41139586 72399860 82279172 102848965 205697930 267407309 411395860 473105239 534814618 946210478 1069629236 1337036545 1892420956 2365526195 2674073090 4731052390 5348146180 6150368107 9462104780 12300736214 24601472428 30751840535 61503681070 123007362140