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1307014136493 = 313416783146987
BaseRepresentation
bin10011000001010000000…
…111010000001010101101
311121221122001200111122020
4103001100013100022231
5132403231104331433
62440233424540353
7163300012566042
oct23012007201255
94557561614566
101307014136493
1146433545180a
121913844816b9
139633530c970
144738cd451c9
1523ee9ad2cb3
hex130501d02ad

1307014136493 has 64 divisors (see below), whose sum is σ = 1974728512512. Its totient is φ = 763668702720.

The previous prime is 1307014136489. The next prime is 1307014136497. The reversal of 1307014136493 is 3946314107031.

It is an interprime number because it is at equal distance from previous prime (1307014136489) and next prime (1307014136497).

It is not a de Polignac number, because 1307014136493 - 22 = 1307014136489 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307014136497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8818546 + ... + 8965532.

It is an arithmetic number, because the mean of its divisors is an integer number (30855133008).

Almost surely, 21307014136493 is an apocalyptic number.

1307014136493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1307014136493 is a deficient number, since it is larger than the sum of its proper divisors (667714376019).

1307014136493 is a wasteful number, since it uses less digits than its factorization.

1307014136493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147194.

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 1307014136493 in words is "one trillion, three hundred seven billion, fourteen million, one hundred thirty-six thousand, four hundred ninety-three".

Divisors: 1 3 13 39 41 67 83 123 201 249 533 871 1079 1599 2613 2747 3237 3403 5561 8241 10209 16683 35711 44239 72293 107133 132717 146987 216879 228001 440961 684003 1910831 2964013 5732493 6026467 8892039 9848129 12199921 18079401 29544387 36599763 78344071 128025677 158598973 235032213 384077031 403773289 475796919 500196761 817394707 1211319867 1500590283 2452184121 5249052757 6502557893 10626131191 15747158271 19507673679 31878393573 33513182987 100539548961 435671378831 1307014136493