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13033311102 = 233759718231
BaseRepresentation
bin11000010001101100…
…01000101101111110
31020122022110210201000
430020312020231332
5203143011423402
65553141031130
7640656213360
oct141066105576
936568423630
1013033311102
115588a67599
1226389b54a6
1312c9265b06
148b8d5ad30
15514331c1c
hex308d88b7e

13033311102 has 128 divisors (see below), whose sum is σ = 34139750400. Its totient is φ = 3608690400.

The previous prime is 13033311097. The next prime is 13033311127. The reversal of 13033311102 is 20111333031.

It is a happy number.

13033311102 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1579327 + ... + 1587557.

It is an arithmetic number, because the mean of its divisors is an integer number (266716800).

Almost surely, 213033311102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069875200).

13033311102 is an abundant number, since it is smaller than the sum of its proper divisors (21106439298).

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

13033311102 is a wasteful number, since it uses less digits than its factorization.

13033311102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13033311102 its reverse (20111333031), we get a palindrome (33144644133).

The spelling of 13033311102 in words is "thirteen billion, thirty-three million, three hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 71 118 126 142 177 189 213 354 378 413 426 497 531 639 826 994 1062 1239 1278 1491 1593 1917 2478 2982 3186 3717 3834 4189 4473 7434 8231 8378 8946 11151 12567 13419 16462 22302 24693 25134 26838 29323 37701 49386 57617 58646 74079 75402 87969 113103 115234 148158 172851 175938 222237 226206 263907 345702 444474 485629 518553 527814 584401 791721 971258 1037106 1168802 1456887 1555659 1583442 1753203 2913774 3111318 3399403 3506406 4090807 4370661 5259609 6798806 8181614 8741322 10198209 10519218 12272421 13111983 15778827 20396418 24544842 26223966 30594627 31557654 34479659 36817263 61189254 68959318 73634526 91783881 103438977 110451789 183567762 206877954 220903578 241357613 310316931 482715226 620633862 724072839 930950793 1448145678 1861901586 2172218517 4344437034 6516655551 13033311102