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13121014440 = 2335472326421
BaseRepresentation
bin11000011100001001…
…01100101010101000
31020212102111121001210
430032010230222220
5203332434430230
610005552513120
7643102532262
oct141604545250
936772447053
1013121014440
11562351a396
12266224b7a0
131311492591
148c686ab32
1551bda7eb0
hex30e12caa8

13121014440 has 64 divisors (see below), whose sum is σ = 40200572160. Its totient is φ = 3424490240.

The previous prime is 13121014429. The next prime is 13121014441. The reversal of 13121014440 is 4441012131.

It is a super-2 number, since 2×131210144402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13121014441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157571 + ... + 1168850.

It is an arithmetic number, because the mean of its divisors is an integer number (628133940).

Almost surely, 213121014440 is an apocalyptic number.

13121014440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121014440 is an abundant number, since it is smaller than the sum of its proper divisors (27079557720).

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

13121014440 is a wasteful number, since it uses less digits than its factorization.

13121014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326482 (or 2326478 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13121014440 its reverse (4441012131), we get a palindrome (17562026571).

The spelling of 13121014440 in words is "thirteen billion, one hundred twenty-one million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 2326421 4652842 6979263 9305684 11632105 13958526 18611368 23264210 27917052 34896315 46528420 55834104 69792630 93056840 109341787 139585260 218683574 279170520 328025361 437367148 546708935 656050722 874734296 1093417870 1312101444 1640126805 2186835740 2624202888 3280253610 4373671480 6560507220 13121014440