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123131040 = 2535713613
BaseRepresentation
bin1110101011011…
…01010010100000
322120200201000220
413111231102200
5223010143130
620115043040
73023411424
oct725552240
9276621026
10123131040
116356019a
12352a0480
131c682106
14124d2b84
15ac23410
hex756d4a0

123131040 has 96 divisors (see below), whose sum is σ = 393434496. Its totient is φ = 32363520.

The previous prime is 123131033. The next prime is 123131083. The reversal of 123131040 is 40131321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1231310402 = 30322506022963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32274 + ... + 35886.

It is an arithmetic number, because the mean of its divisors is an integer number (4098276).

Almost surely, 2123131040 is an apocalyptic number.

123131040 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 123131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196717248).

123131040 is an abundant number, since it is smaller than the sum of its proper divisors (270303456).

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

123131040 is a wasteful number, since it uses less digits than its factorization.

123131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123131040 is about 11096.4426732174. The cubic root of 123131040 is about 497.4955295340.

Adding to 123131040 its reverse (40131321), we get a palindrome (163262361).

The spelling of 123131040 in words is "one hundred twenty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 852 1065 1136 1420 1704 2130 2272 2840 3408 3613 4260 5680 6816 7226 8520 10839 11360 14452 17040 18065 21678 28904 34080 36130 43356 54195 57808 72260 86712 108390 115616 144520 173424 216780 256523 289040 346848 433560 513046 578080 769569 867120 1026092 1282615 1539138 1734240 2052184 2565230 3078276 3847845 4104368 5130460 6156552 7695690 8208736 10260920 12313104 15391380 20521840 24626208 30782760 41043680 61565520 123131040