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13022130000132 = 22331127114035069
BaseRepresentation
bin1011110101111111001101…
…1011101101000100000100
31201002220101122000000102000
42331133303123231010010
53201323310240001012
643410141155145300
72512550343451251
oct275376333550404
951086348000360
1013022130000132
114170721998400
121563938ba5230
13735c9b725c56
143303bb166428
15178b073e3ddc
hexbd7f36ed104

13022130000132 has 144 divisors (see below), whose sum is σ = 37631952489600. Its totient is φ = 3890520849600.

The previous prime is 13022130000041. The next prime is 13022130000133. The reversal of 13022130000132 is 23100003122031.

13022130000132 is a `hidden beast` number, since 13 + 0 + 221 + 300 + 0 + 0 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13022130000133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6089707 + ... + 7945362.

It is an arithmetic number, because the mean of its divisors is an integer number (261333003400).

Almost surely, 213022130000132 is an apocalyptic number.

13022130000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13022130000132 is an abundant number, since it is smaller than the sum of its proper divisors (24609822489468).

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

13022130000132 is a wasteful number, since it uses less digits than its factorization.

13022130000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14035175 (or 14035156 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13022130000132 its reverse (23100003122031), we get a palindrome (36122133122163).

The spelling of 13022130000132 in words is "thirteen trillion, twenty-two billion, one hundred thirty million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 99 108 121 132 142 198 213 242 284 297 363 396 426 484 594 639 726 781 852 1089 1188 1278 1452 1562 1917 2178 2343 2556 3124 3267 3834 4356 4686 6534 7029 7668 8591 9372 13068 14058 17182 21087 25773 28116 34364 42174 51546 77319 84348 103092 154638 231957 309276 463914 927828 14035069 28070138 42105207 56140276 84210414 126315621 154385759 168420828 252631242 308771518 378946863 463157277 505262484 617543036 757893726 926314554 996489899 1389471831 1515787452 1698243349 1852629108 1992979798 2778943662 2989469697 3396486698 3985959596 4168415493 5094730047 5557887324 5978939394 6792973396 8336830986 8968409091 10189460094 10961388889 11957878788 15284190141 16673661972 17936818182 20378920188 21922777778 26905227273 30568380282 32884166667 35873636364 43845555556 45852570423 53810454546 61136760564 65768333334 91705140846 98652500001 107620909092 120575277779 131536666668 183410281692 197305000002 241150555558 295957500003 361725833337 394610000004 482301111116 591915000006 723451666674 1085177500011 1183830000012 1446903333348 2170355000022 3255532500033 4340710000044 6511065000066 13022130000132