Search a number
-
+
13211345430 = 2345193723201
BaseRepresentation
bin11000100110111010…
…10010001000010110
31021002201110212220000
430103131102020112
5204024101023210
610022540552130
7645250404033
oct142335221026
937081425800
1013211345430
11566a5073a8
122688552646
1313270cc07a
148d486238a
15524c9cac0
hex313752216

13211345430 has 160 divisors (see below), whose sum is σ = 38405806560. Its totient is φ = 3247257600.

The previous prime is 13211345363. The next prime is 13211345447. The reversal of 13211345430 is 3454311231.

It is a happy number.

13211345430 is a `hidden beast` number, since 1 + 3 + 2 + 113 + 4 + 543 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13211345394 and 13211345403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 557830 + ... + 581030.

It is an arithmetic number, because the mean of its divisors is an integer number (240036291).

Almost surely, 213211345430 is an apocalyptic number.

13211345430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211345430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202903280).

13211345430 is an abundant number, since it is smaller than the sum of its proper divisors (25194461130).

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

13211345430 is a wasteful number, since it uses less digits than its factorization.

13211345430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23276 (or 23267 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13211345430 its reverse (3454311231), we get a palindrome (16665656661).

The spelling of 13211345430 in words is "thirteen billion, two hundred eleven million, three hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 37 38 45 54 57 74 81 90 95 111 114 135 162 171 185 190 222 270 285 333 342 370 405 513 555 570 666 703 810 855 999 1026 1110 1406 1539 1665 1710 1998 2109 2565 2997 3078 3330 3515 4218 4995 5130 5994 6327 7030 7695 9990 10545 12654 14985 15390 18981 21090 23201 29970 31635 37962 46402 56943 63270 69603 94905 113886 116005 139206 189810 208809 232010 284715 348015 417618 440819 569430 626427 696030 858437 881638 1044045 1252854 1322457 1716874 1879281 2088090 2204095 2575311 2644914 3132135 3758562 3967371 4292185 4408190 5150622 6264270 6612285 7725933 7934742 8584370 9396405 11902113 12876555 13224570 15451866 16310303 18792810 19836855 23177799 23804226 25753110 32620606 35706339 38629665 39673710 46355598 48930909 59510565 69533397 71412678 77259330 81551515 97861818 115888995 119021130 139066794 146792727 163103030 178531695 231777990 244654545 293585454 347666985 357063390 440378181 489309090 695333970 733963635 880756362 1321134543 1467927270 2201890905 2642269086 4403781810 6605672715 13211345430