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13540312530 = 2325228165957
BaseRepresentation
bin11001001110001000…
…01100010111010010
31021221122111010220200
430213010030113102
5210212310000110
610115331520030
7656353520553
oct144704142722
937848433820
1013540312530
115819176238
12275a759016
13137a2cc964
1492641632a
15543ace6c0
hex32710c5d2

13540312530 has 48 divisors (see below), whose sum is σ = 35220780504. Its totient is φ = 3609112320.

The previous prime is 13540312529. The next prime is 13540312531. The reversal of 13540312530 is 3521304531.

13540312530 is a `hidden beast` number, since 1 + 3 + 5 + 403 + 1 + 253 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13540312529) and next prime (13540312531).

It can be written as a sum of positive squares in 4 ways, for example, as 11539271241 + 2001041289 = 107421^2 + 44733^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13540312494 and 13540312503.

It is not an unprimeable number, because it can be changed into a prime (13540312531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172312 + ... + 238268.

Almost surely, 213540312530 is an apocalyptic number.

13540312530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13540312530 is an abundant number, since it is smaller than the sum of its proper divisors (21680467974).

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

13540312530 is a wasteful number, since it uses less digits than its factorization.

13540312530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68251 (or 68248 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 13540312530 in words is "thirteen billion, five hundred forty million, three hundred twelve thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2281 4562 6843 11405 13686 20529 22810 34215 41058 65957 68430 102645 131914 197871 205290 329785 395742 593613 659570 989355 1187226 1978710 2968065 5936130 150447917 300895834 451343751 752239585 902687502 1354031253 1504479170 2256718755 2708062506 4513437510 6770156265 13540312530