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13010331100332 = 2232925039255839
BaseRepresentation
bin1011110101010011010000…
…1010011110010010101100
31201001202221100021210200010
42331110310022132102230
53201130124230202312
643400510311533220
72511652063453416
oct275246412362254
951052840253603
1013010331100332
114166717800345
1215615a568a210
13734b3b142437
1432d9bc1359b6
1517866664893c
hexbd53429e4ac

13010331100332 has 72 divisors (see below), whose sum is σ = 31446706636800. Its totient is φ = 4186385669312.

The previous prime is 13010331100307. The next prime is 13010331100381. The reversal of 13010331100332 is 23300113301031.

13010331100332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13010331100299 and 13010331100308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50725669 + ... + 50981507.

It is an arithmetic number, because the mean of its divisors is an integer number (436759814400).

Almost surely, 213010331100332 is an apocalyptic number.

13010331100332 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 13010331100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723353318400).

13010331100332 is an abundant number, since it is smaller than the sum of its proper divisors (18436375536468).

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

13010331100332 is a wasteful number, since it uses less digits than its factorization.

13010331100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260943 (or 260912 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13010331100332 its reverse (23300113301031), we get a palindrome (36310444401363).

The spelling of 13010331100332 in words is "thirteen trillion, ten billion, three hundred thirty-one million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 841 1682 2523 3364 5039 5046 10078 10092 15117 20156 30234 60468 146131 255839 292262 438393 511678 584524 767517 876786 1023356 1535034 1753572 3070068 4237799 7419331 8475598 12713397 14838662 16951196 22257993 25426794 29677324 44515986 50853588 89031972 215160599 430321198 645481797 860642396 1289172721 1290963594 2578345442 2581927188 3867518163 5156690884 7735036326 15470072652 37386008909 74772017818 112158026727 149544035636 224316053454 448632106908 1084194258361 2168388516722 3252582775083 4336777033444 6505165550166 13010331100332