Search a number
-
+
1013313000102 = 2313414727124877
BaseRepresentation
bin11101011111011100010…
…10010101001010100110
310120212112112011220100220
432233232022111022212
5113100231112000402
62053302022145210
7133131561246264
oct16575612251246
93525475156326
101013313000102
1136081a853a17
12144478582206
137472a46a5b0
143708a5ab434
151b55a3e3dbc
hexebee2952a6

1013313000102 has 128 divisors (see below), whose sum is σ = 2291839377408. Its totient is φ = 296601523200.

The previous prime is 1013313000079. The next prime is 1013313000113. The reversal of 1013313000102 is 2010003133101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40720488 + ... + 40745364.

It is an arithmetic number, because the mean of its divisors is an integer number (17904995136).

Almost surely, 21013313000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013313000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145919688704).

1013313000102 is an abundant number, since it is smaller than the sum of its proper divisors (1278526377306).

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

1013313000102 is a wasteful number, since it uses less digits than its factorization.

1013313000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25254.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1013313000102 its reverse (2010003133101), we get a palindrome (3023316133203).

The spelling of 1013313000102 in words is "one trillion, thirteen billion, three hundred thirteen million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 41 47 78 82 94 123 141 246 271 282 533 542 611 813 1066 1222 1599 1626 1833 1927 3198 3523 3666 3854 5781 7046 10569 11111 11562 12737 21138 22222 24877 25051 25474 33333 38211 49754 50102 66666 74631 75153 76422 144443 149262 150306 165581 288886 323401 331162 433329 496743 522217 646802 866658 970203 993486 1019957 1044434 1169219 1566651 1940406 2039914 2338438 3059871 3133302 3507657 6119742 6741667 6788821 7015314 13259441 13483334 13577642 15199847 20225001 20366463 26518882 30399694 39778323 40450002 40732926 45599541 47937979 79556646 87641671 91199082 95875958 143813937 175283342 262925013 276408347 287627874 316858349 525850026 552816694 623193727 633716698 829225041 950575047 1246387454 1658450082 1869581181 1901150094 3593308511 3739162362 4119158537 7186617022 8238317074 10779925533 12357475611 12991192309 21559851066 24714951222 25982384618 38973576927 77947153854 168885500017 337771000034 506656500051 1013313000102