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102731409 = 361123557
BaseRepresentation
bin1100001111110…
…00111010010001
321011022022000000
412013320322101
5202244401114
614105520213
72355126324
oct607707221
9234268000
10102731409
1152a976a0
122a4a3069
131838bb21
14d9027bb
159043e09
hex61f8e91

102731409 has 56 divisors (see below), whose sum is σ = 175649472. Its totient is φ = 59447520.

The previous prime is 102731407. The next prime is 102731411. The reversal of 102731409 is 904137201.

It is an interprime number because it is at equal distance from previous prime (102731407) and next prime (102731411).

It is not a de Polignac number, because 102731409 - 21 = 102731407 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102731401) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 184159 + ... + 184715.

Almost surely, 2102731409 is an apocalyptic number.

It is an amenable number.

102731409 is a deficient number, since it is larger than the sum of its proper divisors (72918063).

102731409 is an equidigital number, since it uses as much as digits as its factorization.

102731409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102731409 is about 10135.6503984697. The cubic root of 102731409 is about 468.3470059570.

The spelling of 102731409 in words is "one hundred two million, seven hundred thirty-one thousand, four hundred nine".

Divisors: 1 3 9 11 23 27 33 69 81 99 207 243 253 297 557 621 729 759 891 1671 1863 2277 2673 5013 5589 6127 6831 8019 12811 15039 16767 18381 20493 38433 45117 55143 61479 115299 135351 140921 165429 184437 345897 406053 422763 496287 1037691 1268289 1488861 3113073 3804867 4466583 9339219 11414601 34243803 102731409