Search a number
-
+
1110301213120 = 265111697185873
BaseRepresentation
bin10000001010000011000…
…111000000000111000000
310221010212210121121120121
4100022003013000013000
5121142344102304440
62210022040150024
7143134204410601
oct20120307000700
93833783547517
101110301213120
113989700a8970
1215b225768314
1380915cc9758
143ba4b637da8
151dd3500c34a
hex102831c01c0

1110301213120 has 112 divisors (see below), whose sum is σ = 2885974891488. Its totient is φ = 403505807360.

The previous prime is 1110301213039. The next prime is 1110301213157. The reversal of 1110301213120 is 213121030111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1110301213094 and 1110301213103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5880504 + ... + 6066376.

Almost surely, 21110301213120 is an apocalyptic number.

1110301213120 is a gapful number since it is divisible by the number (10) 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 1110301213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442987445744).

1110301213120 is an abundant number, since it is smaller than the sum of its proper divisors (1775673678368).

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

1110301213120 is a wasteful number, since it uses less digits than its factorization.

1110301213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187598 (or 187588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1110301213120 its reverse (213121030111), we get a palindrome (1323422243231).

The spelling of 1110301213120 in words is "one trillion, one hundred ten billion, three hundred one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1697 1760 3394 3520 6788 8485 13576 16970 18667 27152 33940 37334 54304 67880 74668 93335 108608 135760 149336 185873 186670 271520 298672 371746 373340 543040 597344 743492 746680 929365 1194688 1486984 1493360 1858730 2044603 2973968 2986720 3717460 4089206 5947936 5973440 7434920 8178412 10223015 11895872 14869840 16356824 20446030 29739680 32713648 40892060 59479360 65427296 81784120 130854592 163568240 315426481 327136480 630852962 654272960 1261705924 1577132405 2523411848 3154264810 3469691291 5046823696 6308529620 6939382582 10093647392 12617059240 13878765164 17348456455 20187294784 25234118480 27757530328 34696912910 50468236960 55515060656 69393825820 100936473920 111030121312 138787651640 222060242624 277575303280 555150606560 1110301213120