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13102541504 = 2613294391237
BaseRepresentation
bin11000011001111100…
…01110101011000000
31020211010202001221222
430030332032223000
5203313222312004
610004052534212
7642456523313
oct141476165300
936733661858
1013102541504
1156140523a8
122658021368
13130a6c5250
148c421c97a
1551a4597be
hex30cf8eac0

13102541504 has 112 divisors (see below), whose sum is σ = 29055364800. Its totient is φ = 5820788736.

The previous prime is 13102541479. The next prime is 13102541509. The reversal of 13102541504 is 40514520131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (13102541509) 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, 10591574 + ... + 10592810.

It is an arithmetic number, because the mean of its divisors is an integer number (259422900).

Almost surely, 213102541504 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 13102541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14527682400).

13102541504 is an abundant number, since it is smaller than the sum of its proper divisors (15952823296).

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

13102541504 is a wasteful number, since it uses less digits than its factorization.

13102541504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 13102541504 in words is "thirteen billion, one hundred two million, five hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 439 464 754 832 878 928 1237 1508 1756 1856 2474 3016 3512 4948 5707 6032 7024 9896 11414 12064 12731 14048 16081 19792 22828 24128 25462 28096 32162 35873 39584 45656 50924 64324 71746 79168 91312 101848 128648 143492 165503 182624 203696 257296 286984 331006 365248 407392 466349 514592 543043 573968 662012 814784 932698 1029184 1086086 1147936 1324024 1865396 2172172 2295872 2648048 3730792 4344344 5296096 7059559 7461584 8688688 10592192 14119118 14923168 15748247 17377376 28238236 29846336 31496494 34754752 56476472 62992988 112952944 125985976 204727211 225905888 251971952 409454422 451811776 503943904 818908844 1007887808 1637817688 3275635376 6551270752 13102541504