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13022032233012 = 223114720691014487
BaseRepresentation
bin1011110101111110110110…
…0110110000001000110100
31201002220010211000221010120
42331133231212300020310
53201323110222424022
643410123343451540
72512545045446025
oct275375546601064
951086124027116
1013022032233012
114170681791530
1215639102b6bb0
13735c843b489a
143303ac196c4c
15178aeda30d5c
hexbd7ed9b0234

13022032233012 has 96 divisors (see below), whose sum is σ = 33868641300480. Its totient is φ = 3860240968320.

The previous prime is 13022032232999. The next prime is 13022032233019. The reversal of 13022032233012 is 21033223022031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022032233019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12328833 + ... + 13343319.

It is an arithmetic number, because the mean of its divisors is an integer number (352798346880).

Almost surely, 213022032233012 is an apocalyptic number.

13022032233012 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 13022032233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934320650240).

13022032233012 is an abundant number, since it is smaller than the sum of its proper divisors (20846609067468).

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

13022032233012 is a wasteful number, since it uses less digits than its factorization.

13022032233012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016621 (or 1016619 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13022032233012 its reverse (21033223022031), we get a palindrome (34055255255043).

The spelling of 13022032233012 in words is "thirteen trillion, twenty-two billion, thirty-two million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 2069 3102 4138 6204 6207 8276 12414 22759 24828 45518 68277 91036 97243 136554 194486 273108 291729 388972 583458 1014487 1069673 1166916 2028974 2139346 3043461 3209019 4057948 4278692 6086922 6418038 11159357 12173844 12836076 22318714 33478071 44637428 47680889 66956142 95361778 133912284 143042667 190723556 286085334 524489779 572170668 1048979558 1573469337 2097959116 2098973603 3146938674 4197947206 6293877348 6296920809 8395894412 12593841618 23088709633 25187683236 46177419266 69266128899 92354838532 98651759341 138532257798 197303518682 277064515596 295955278023 394607037364 591910556046 1085169352751 1183821112092 2170338705502 3255508058253 4340677411004 6511016116506 13022032233012