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1310231142024 = 233757287136139
BaseRepresentation
bin10011000100001111110…
…111001001111010001000
311122020221021001022121020
4103010033313021322020
5132431323133021044
62441524544312440
7163442514643650
oct23041767117210
94566837038536
101310231142024
1146573635a672
12191b21912720
139672895392c
14475b62b9360
152413723ea19
hex1310fdc9e88

1310231142024 has 64 divisors (see below), whose sum is σ = 3743610393600. Its totient is φ = 374342470464.

The previous prime is 1310231142013. The next prime is 1310231142047. The reversal of 1310231142024 is 4202411320131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1310231141985 and 1310231142003.

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, 9556147 + ... + 9692285.

It is an arithmetic number, because the mean of its divisors is an integer number (58493912400).

Almost surely, 21310231142024 is an apocalyptic number.

1310231142024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1310231142024 is an abundant number, since it is smaller than the sum of its proper divisors (2433379251576).

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

1310231142024 is a wasteful number, since it uses less digits than its factorization.

1310231142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193442 (or 193438 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1310231142024 its reverse (4202411320131), we get a palindrome (5512642462155).

The spelling of 1310231142024 in words is "one trillion, three hundred ten billion, two hundred thirty-one million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 57287 114574 136139 171861 229148 272278 343722 401009 408417 458296 544556 687444 802018 816834 952973 1089112 1203027 1374888 1604036 1633668 1905946 2406054 2858919 3208072 3267336 3811892 4812108 5717838 7623784 9624216 11435676 22871352 7798994893 15597989786 23396984679 31195979572 46793969358 54592964251 62391959144 93587938716 109185928502 163778892753 187175877432 218371857004 327557785506 436743714008 655115571012 1310231142024