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13121409024 = 2123513183
BaseRepresentation
bin11000011100001100…
…01101000000000000
31020212110020122100000
430032012031000000
5203333040042044
610010005200000
7643106064543
oct141606150000
936773218300
1013121409024
115623769899
122662400000
1313115a0069
148c693085a
1551be34d69
hex30e18d000

13121409024 has 156 divisors (see below), whose sum is σ = 39308412416. Its totient is φ = 4373471232.

The previous prime is 13121409011. The next prime is 13121409043. The reversal of 13121409024 is 42090412131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988737 + ... + 1001919.

Almost surely, 213121409024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121409024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19654206208).

13121409024 is an abundant number, since it is smaller than the sum of its proper divisors (26187003392).

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

13121409024 is an frugal number, since it uses more digits than its factorization.

13121409024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13222 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13121409024 in words is "thirteen billion, one hundred twenty-one million, four hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4096 4608 5184 6144 6912 7776 9216 10368 12288 13183 13824 15552 18432 20736 26366 27648 31104 36864 39549 41472 52732 55296 62208 79098 82944 105464 110592 118647 124416 158196 165888 210928 237294 248832 316392 331776 355941 421856 474588 497664 632784 711882 843712 949176 995328 1067823 1265568 1423764 1687424 1898352 2135646 2531136 2847528 3203469 3374848 3796704 4271292 5062272 5695056 6406938 6749696 7593408 8542584 10124544 11390112 12813876 13499392 15186816 17085168 20249088 22780224 25627752 26998784 30373632 34170336 40498176 45560448 51255504 53997568 60747264 68340672 80996352 91120896 102511008 121494528 136681344 161992704 182241792 205022016 242989056 273362688 364483584 410044032 485978112 546725376 728967168 820088064 1093450752 1457934336 1640176128 2186901504 3280352256 4373803008 6560704512 13121409024