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1312023012000 = 25353109335251
BaseRepresentation
bin10011000101111010101…
…010100110001010100000
311122102120010202202002220
4103011322222212022200
5132444010342341000
62442422434311040
7163535103410451
oct23057252461240
94572503682086
101312023012000
11466475871048
12192341a28480
1396952c5831c
1447706277128
15241de6de1a0
hex1317aaa62a0

1312023012000 has 96 divisors (see below), whose sum is σ = 4298187426624. Its totient is φ = 349872800000.

The previous prime is 1312023011953. The next prime is 1312023012017. The reversal of 1312023012000 is 2103202131.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54655626 + ... + 54679625.

It is an arithmetic number, because the mean of its divisors is an integer number (44772785694).

Almost surely, 21312023012000 is an apocalyptic number.

1312023012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312023012000 is an abundant number, since it is smaller than the sum of its proper divisors (2986164414624).

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

1312023012000 is a wasteful number, since it uses less digits than its factorization.

1312023012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109335279 (or 109335261 counting only the distinct ones).

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

Adding to 1312023012000 its reverse (2103202131), we get a palindrome (1314126214131).

The spelling of 1312023012000 in words is "one trillion, three hundred twelve billion, twenty-three million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 109335251 218670502 328005753 437341004 546676255 656011506 874682008 1093352510 1312023012 1640028765 1749364016 2186705020 2624046024 2733381275 3280057530 3498728032 4373410040 5248092048 5466762550 6560115060 8200143825 8746820080 10496184096 10933525100 13120230120 13666906375 16400287650 17493640160 21867050200 26240460240 27333812750 32800575300 41000719125 43734100400 52480920480 54667625500 65601150600 82001438250 87468200800 109335251000 131202301200 164002876500 218670502000 262404602400 328005753000 437341004000 656011506000 1312023012000