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13210014465 = 335236763499
BaseRepresentation
bin11000100110110000…
…01101001100000001
31021002121222021011000
430103120031030001
5204023230430330
610022452242213
7645233161464
oct142330151401
937077867130
1013210014465
11566978842a
122688010369
131326a5430b
148d45d72db
15524ad8560
hex31360d301

13210014465 has 64 divisors (see below), whose sum is σ = 24871680000. Its totient is φ = 6638334912.

The previous prime is 13210014463. The next prime is 13210014487. The reversal of 13210014465 is 56441001231.

It is a happy number.

13210014465 is a `hidden beast` number, since 1 + 3 + 210 + 0 + 1 + 446 + 5 = 666.

It is not a de Polignac number, because 13210014465 - 21 = 13210014463 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13210014463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176286 + ... + 239784.

It is an arithmetic number, because the mean of its divisors is an integer number (388620000).

Almost surely, 213210014465 is an apocalyptic number.

13210014465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13210014465 is a deficient number, since it is larger than the sum of its proper divisors (11661665535).

13210014465 is a wasteful number, since it uses less digits than its factorization.

13210014465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63603 (or 63597 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13210014465 its reverse (56441001231), we get a palindrome (69651015696).

The spelling of 13210014465 in words is "thirteen billion, two hundred ten million, fourteen thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 23 27 45 67 69 115 135 201 207 335 345 603 621 1005 1035 1541 1809 3015 3105 4623 7705 9045 13869 23115 41607 63499 69345 190497 208035 317495 571491 952485 1460477 1714473 2857455 4254433 4381431 7302385 8572365 12763299 13144293 21272165 21907155 38289897 39432879 63816495 65721465 97851959 114869691 191449485 197164395 293555877 489259795 574348455 880667631 1467779385 2642002893 4403338155 13210014465