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312141031400 = 235211891594183
BaseRepresentation
bin1001000101011010000…
…11100010011111101000
31002211200122102022210202
410202231003202133220
520103231101001100
6355221241331332
731360100663342
oct4425503423750
91084618368722
10312141031400
11110418524950
12505b3496b48
1323586272063
1411171792292
1581bd4db7d5
hex48ad0e27e8

312141031400 has 96 divisors (see below), whose sum is σ = 800599204800. Its totient is φ = 112230412800.

The previous prime is 312141031387. The next prime is 312141031417. The reversal of 312141031400 is 4130141213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601292 + ... + 992891.

It is an arithmetic number, because the mean of its divisors is an integer number (8339575050).

Almost surely, 2312141031400 is an apocalyptic number.

It is an amenable number.

312141031400 is an abundant number, since it is smaller than the sum of its proper divisors (488458173400).

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

312141031400 is a wasteful number, since it uses less digits than its factorization.

312141031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594299 (or 1594290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312141031400 its reverse (4130141213), we get a palindrome (316271172613).

The spelling of 312141031400 in words is "three hundred twelve billion, one hundred forty-one million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 110 178 200 220 275 356 440 445 550 712 890 979 1100 1780 1958 2200 2225 3560 3916 4450 4895 7832 8900 9790 17800 19580 24475 39160 48950 97900 195800 1594183 3188366 6376732 7970915 12753464 15941830 17536013 31883660 35072026 39854575 63767320 70144052 79709150 87680065 140288104 141882287 159418300 175360130 283764574 318836600 350720260 438400325 567529148 701440520 709411435 876800650 1135058296 1418822870 1560705157 1753601300 2837645740 3121410314 3507202600 3547057175 5675291480 6242820628 7094114350 7803525785 12485641256 14188228700 15607051570 28376457400 31214103140 39017628925 62428206280 78035257850 156070515700 312141031400