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13212120224 = 251575414861
BaseRepresentation
bin11000100111000000…
…01111010010100000
31021002202221020201002
430103200033102200
5204024300321344
610023005331132
7645260111642
oct142340172240
937082836632
1013212120224
11566a996526
122688866aa8
131327310924
148d49c4892
15524da244e
hex31380f4a0

13212120224 has 48 divisors (see below), whose sum is σ = 26230820616. Its totient is φ = 6550502400.

The previous prime is 13212120223. The next prime is 13212120281. The reversal of 13212120224 is 42202121231.

It can be written as a sum of positive squares in 4 ways, for example, as 12041111824 + 1171008400 = 109732^2 + 34220^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13212120196 and 13212120205.

It is not an unprimeable number, because it can be changed into a prime (13212120223) 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 7 ways as a sum of consecutive naturals, for example, 2715554 + ... + 2720414.

Almost surely, 213212120224 is an apocalyptic number.

It is an amenable number.

13212120224 is a deficient number, since it is larger than the sum of its proper divisors (13018700392).

13212120224 is a wasteful number, since it uses less digits than its factorization.

13212120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13212120224 its reverse (42202121231), we get a palindrome (55414241455).

The spelling of 13212120224 in words is "thirteen billion, two hundred twelve million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 157 314 541 628 1082 1256 2164 2512 4328 4861 5024 8656 9722 17312 19444 38888 77776 84937 155552 169874 339748 679496 763177 1358992 1526354 2629801 2717984 3052708 5259602 6105416 10519204 12210832 21038408 24421664 42076816 84153632 412878757 825757514 1651515028 3303030056 6606060112 13212120224