Search a number
-
+
100711266076104 = 23331882115345721
BaseRepresentation
bin10110111001100010101011…
…001111010100010111001000
3111012120220101021220220001120
4112321202223033110113020
5101200023133103413404
6554110041131115240
730133102026060555
oct2671425317242710
9435526337826046
10100711266076104
112a0a9454187572
12b3666272a2b20
13442705468b2b8
141ac2646489a2c
15b99ae79739d9
hex5b98ab3d45c8

100711266076104 has 64 divisors (see below), whose sum is σ = 259929522209280. Its totient is φ = 32483820096000.

The previous prime is 100711266076061. The next prime is 100711266076129. The reversal of 100711266076104 is 401670662117001.

It is a happy number.

100711266076104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1007112660761042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110037 + ... + 14235684.

It is an arithmetic number, because the mean of its divisors is an integer number (4061398784520).

Almost surely, 2100711266076104 is an apocalyptic number.

It is an amenable number.

100711266076104 is an abundant number, since it is smaller than the sum of its proper divisors (159218256133176).

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

100711266076104 is a wasteful number, since it uses less digits than its factorization.

100711266076104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15354582 (or 15354578 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 100711266076104 in words is "one hundred trillion, seven hundred eleven billion, two hundred sixty-six million, seventy-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 8821 17642 26463 35284 52926 70568 105852 211704 273451 546902 820353 1093804 1640706 2187608 3281412 6562824 15345721 30691442 46037163 61382884 92074326 122765768 184148652 368297304 475717351 951434702 1427152053 1902869404 2854304106 3805738808 5708608212 11417216424 135364604941 270729209882 406093814823 541458419764 812187629646 1082916839528 1624375259292 3248750518584 4196302753171 8392605506342 12588908259513 16785211012684 25177816519026 33570422025368 50355633038052 100711266076104