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13212344420 = 225111571792137
BaseRepresentation
bin11000100111000010…
…00110000001100100
31021002210100122020122
430103201012001210
5204024330010140
610023014221112
7645262034402
oct142341060144
937083318218
1013212344420
115670029a10
122688954798
13132738b9a2
148d4a42472
15524de8ab5
hex313846064

13212344420 has 96 divisors (see below), whose sum is σ = 30645578880. Its totient is φ = 4744995840.

The previous prime is 13212344371. The next prime is 13212344437. The reversal of 13212344420 is 2444321231.

It is a self number, because there is not a number n which added to its sum of digits gives 13212344420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6181592 + ... + 6183728.

It is an arithmetic number, because the mean of its divisors is an integer number (319224780).

Almost surely, 213212344420 is an apocalyptic number.

13212344420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322789440).

13212344420 is an abundant number, since it is smaller than the sum of its proper divisors (17433234460).

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

13212344420 is a wasteful number, since it uses less digits than its factorization.

13212344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13212344420 its reverse (2444321231), we get a palindrome (15656665651).

The spelling of 13212344420 in words is "thirteen billion, two hundred twelve million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 179 220 314 358 628 716 785 895 1570 1727 1790 1969 2137 3140 3454 3580 3938 4274 6908 7876 8548 8635 9845 10685 17270 19690 21370 23507 28103 34540 39380 42740 47014 56206 94028 112412 117535 140515 235070 281030 309133 335509 382523 470140 562060 618266 671018 765046 1236532 1342036 1530092 1545665 1677545 1912615 3091330 3355090 3690599 3825230 4207753 6182660 6710180 7381198 7650460 8415506 14762396 16831012 18452995 21038765 36905990 42077530 60056111 73811980 84155060 120112222 240224444 300280555 600561110 660617221 1201122220 1321234442 2642468884 3303086105 6606172210 13212344420