Search a number
-
+
1013101023102 = 237297691081631
BaseRepresentation
bin11101011111000011000…
…01101100111101111110
310120211222202022100120220
432233201201230331332
5113044312330214402
62053225010522210
7133123405416450
oct16574141547576
93524882270526
101013101023102
11360721130513
12144419596366
13746c557b90c
143706a38c2d0
151b5469c0dbc
hexebe186cf7e

1013101023102 has 64 divisors (see below), whose sum is σ = 2398627123200. Its totient is φ = 279112458240.

The previous prime is 1013101023097. The next prime is 1013101023113. The reversal of 1013101023102 is 2013201013101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395827 + ... + 1477457.

It is an arithmetic number, because the mean of its divisors is an integer number (37478548800).

Almost surely, 21013101023102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013101023102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199313561600).

1013101023102 is an abundant number, since it is smaller than the sum of its proper divisors (1385526100098).

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

1013101023102 is a wasteful number, since it uses less digits than its factorization.

1013101023102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082441.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1013101023102 its reverse (2013201013101), we get a palindrome (3026302036203).

The spelling of 1013101023102 in words is "one trillion, thirteen billion, one hundred one million, twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 769 1218 1538 2307 4614 5383 10766 16149 22301 32298 44602 66903 133806 156107 312214 468321 936642 1081631 2163262 3244893 6489786 7571417 15142834 22714251 31367299 45428502 62734598 94101897 188203794 219571093 439142186 658713279 831774239 1317426558 1663548478 2495322717 4990645434 5822419673 11644839346 17467259019 24121452931 34934518038 48242905862 72364358793 144728717586 168850170517 337700341034 506550511551 1013101023102