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13212420312 = 2337136049643
BaseRepresentation
bin11000100111000010…
…11000100011011000
31021002210111111100110
430103201120203120
5204024334422222
610023020004320
7645262501560
oct142341304330
937083444313
1013212420312
115670080a33
1226889906a0
1313273b73b0
148d4a61da0
15524e1130c
hex3138588d8

13212420312 has 64 divisors (see below), whose sum is σ = 40653607680. Its totient is φ = 3484593792.

The previous prime is 13212420269. The next prime is 13212420341. The reversal of 13212420312 is 21302421231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 3022638 + ... + 3027005.

It is an arithmetic number, because the mean of its divisors is an integer number (635212620).

Almost surely, 213212420312 is an apocalyptic number.

13212420312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13212420312 is an abundant number, since it is smaller than the sum of its proper divisors (27441187368).

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

13212420312 is a wasteful number, since it uses less digits than its factorization.

13212420312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049672 (or 6049668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13212420312 its reverse (21302421231), we get a palindrome (34514841543).

The spelling of 13212420312 in words is "thirteen billion, two hundred twelve million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6049643 12099286 18148929 24198572 36297858 42347501 48397144 72595716 78645359 84695002 127042503 145191432 157290718 169390004 235936077 254085006 314581436 338780008 471872154 508170012 550517513 629162872 943744308 1016340024 1101035026 1651552539 1887488616 2202070052 3303105078 4404140104 6606210156 13212420312