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123100041400 = 23527711238431
BaseRepresentation
bin111001010100101010…
…1011001000010111000
3102202202001110000211121
41302221111121002320
54004102102311100
6132315033035024
711615351041660
oct1625125310270
9382661400747
10123100041400
114822a845106
121ba35b55a74
13b7ba5281ab
145d5ad511a0
15330720b51a
hex1ca95590b8

123100041400 has 96 divisors (see below), whose sum is σ = 331701626880. Its totient is φ = 41611248000.

The previous prime is 123100041301. The next prime is 123100041413. The reversal of 123100041400 is 4140001321.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 519816 + ... + 718615.

It is an arithmetic number, because the mean of its divisors is an integer number (3455225280).

Almost surely, 2123100041400 is an apocalyptic number.

123100041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123100041400 is an abundant number, since it is smaller than the sum of its proper divisors (208601585480).

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

123100041400 is a wasteful number, since it uses less digits than its factorization.

123100041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238525 (or 1238516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123100041400 its reverse (4140001321), we get a palindrome (127240042721).

The spelling of 123100041400 in words is "one hundred twenty-three billion, one hundred million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 140 142 175 200 280 284 350 355 497 568 700 710 994 1400 1420 1775 1988 2485 2840 3550 3976 4970 7100 9940 12425 14200 19880 24850 49700 99400 1238431 2476862 4953724 6192155 8669017 9907448 12384310 17338034 24768620 30960775 34676068 43345085 49537240 61921550 69352136 86690170 87928601 123843100 173380340 175857202 216725425 247686200 346760680 351714404 433450850 439643005 615500207 703428808 866901700 879286010 1231000414 1733803400 1758572020 2198215025 2462000828 3077501035 3517144040 4396430050 4924001656 6155002070 8792860100 12310004140 15387505175 17585720200 24620008280 30775010350 61550020700 123100041400