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13113031032 = 2334192346307
BaseRepresentation
bin11000011011001100…
…01111100101111000
31020211212110222220000
430031212033211320
5203323413443112
610005105433000
7642644632113
oct141546174570
936755428800
1013113031032
115619a67332
12265b63b760
13130c92887a
148c578d57a
1551b32c7dc
hex30d98f978

13113031032 has 160 divisors (see below), whose sum is σ = 40343529600. Its totient is φ = 3960830016.

The previous prime is 13113031021. The next prime is 13113031037. The reversal of 13113031032 is 23013031131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13113030996 and 13113031014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113031037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 260023 + ... + 306329.

It is an arithmetic number, because the mean of its divisors is an integer number (252147060).

Almost surely, 213113031032 is an apocalyptic number.

13113031032 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 13113031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20171764800).

13113031032 is an abundant number, since it is smaller than the sum of its proper divisors (27230498568).

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

13113031032 is a wasteful number, since it uses less digits than its factorization.

13113031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46367 (or 46354 counting only the distinct ones).

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

Adding to 13113031032 its reverse (23013031131), we get a palindrome (36126062163).

Subtracting 13113031032 from its reverse (23013031131), we obtain a palindrome (9900000099).

The spelling of 13113031032 in words is "thirteen billion, one hundred thirteen million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 81 92 108 114 138 152 162 171 184 207 216 228 276 324 342 414 437 456 513 552 621 648 684 828 874 1026 1242 1311 1368 1539 1656 1748 1863 2052 2484 2622 3078 3496 3726 3933 4104 4968 5244 6156 7452 7866 10488 11799 12312 14904 15732 23598 31464 35397 46307 47196 70794 92614 94392 138921 141588 185228 277842 283176 370456 416763 555684 833526 879833 1065061 1111368 1250289 1667052 1759666 2130122 2500578 2639499 3195183 3334104 3519332 3750867 4260244 5001156 5278998 6390366 7038664 7501734 7918497 8520488 9585549 10002312 10557996 12780732 15003468 15836994 19171098 20236159 21115992 23755491 25561464 28756647 30006936 31673988 38342196 40472318 47510982 57513294 60708477 63347976 71266473 76684392 80944636 86269941 95021964 115026588 121416954 142532946 161889272 172539882 182125431 190043928 230053176 242833908 285065892 345079764 364250862 485667816 546376293 570131784 690159528 728501724 1092752586 1457003448 1639128879 2185505172 3278257758 4371010344 6556515516 13113031032