Search a number
-
+
13015112352 = 2531129711551
BaseRepresentation
bin11000001111100001…
…01101101010100000
31020121001020012201020
430013300231222200
5203123332043402
65551251005440
7640345425654
oct140760555240
936531205636
1013015112352
115579767600
122632899880
1312c5563518
148b6780a64
155129398bc
hex307c2daa0

13015112352 has 144 divisors (see below), whose sum is σ = 37943329536. Its totient is φ = 3902976000.

The previous prime is 13015112351. The next prime is 13015112377. The reversal of 13015112352 is 25321151031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015112351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120977 + ... + 1132527.

It is an arithmetic number, because the mean of its divisors is an integer number (263495344).

Almost surely, 213015112352 is an apocalyptic number.

13015112352 is a gapful number since it is divisible by the number (12) 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 13015112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18971664768).

13015112352 is an abundant number, since it is smaller than the sum of its proper divisors (24928217184).

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

13015112352 is a wasteful number, since it uses less digits than its factorization.

13015112352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 13015112352 its reverse (25321151031), we get a palindrome (38336263383).

The spelling of 13015112352 in words is "thirteen billion, fifteen million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 121 132 176 194 242 264 291 352 363 388 484 528 582 726 776 968 1056 1067 1164 1452 1552 1936 2134 2328 2904 3104 3201 3872 4268 4656 5808 6402 8536 9312 11551 11616 11737 12804 17072 23102 23474 25608 34144 34653 35211 46204 46948 51216 69306 70422 92408 93896 102432 127061 138612 140844 184816 187792 254122 277224 281688 369632 375584 381183 508244 554448 563376 762366 1016488 1108896 1120447 1126752 1397671 1524732 2032976 2240894 2795342 3049464 3361341 4065952 4193013 4481788 5590684 6098928 6722682 8386026 8963576 11181368 12197856 12324917 13445364 16772052 17927152 22362736 24649834 26890728 33544104 35854304 36974751 44725472 49299668 53781456 67088208 73949502 98599336 107562912 134176416 135574087 147899004 197198672 271148174 295798008 394397344 406722261 542296348 591596016 813444522 1084592696 1183192032 1626889044 2169185392 3253778088 4338370784 6507556176 13015112352