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100970643060 = 223257331242101
BaseRepresentation
bin101111000001001010…
…0011011111001110100
3100122121211002010012200
41132002110123321310
53123241441034220
6114215115144500
710203101206440
oct1360224337164
9318554063180
10100970643060
1139904328651
121769aa45130
1396a193b551
144c5bd29820
15295e56c890
hex178251be74

100970643060 has 144 divisors (see below), whose sum is σ = 351090509952. Its totient is φ = 23009184000.

The previous prime is 100970643031. The next prime is 100970643061. The reversal of 100970643060 is 60346079001.

100970643060 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 0 + 643 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100970643061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296010 + ... + 538110.

Almost surely, 2100970643060 is an apocalyptic number.

100970643060 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 100970643060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175545254976).

100970643060 is an abundant number, since it is smaller than the sum of its proper divisors (250119866892).

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

100970643060 is a wasteful number, since it uses less digits than its factorization.

100970643060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242454 (or 242449 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 100970643060 in words is "one hundred billion, nine hundred seventy million, six hundred forty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 331 420 630 662 993 1260 1324 1655 1986 2317 2979 3310 3972 4634 4965 5958 6620 6951 9268 9930 11585 11916 13902 14895 19860 20853 23170 27804 29790 34755 41706 46340 59580 69510 83412 104265 139020 208530 242101 417060 484202 726303 968404 1210505 1452606 1694707 2178909 2421010 2905212 3389414 3631515 4357818 4842020 5084121 6778828 7263030 8473535 8715636 10168242 10894545 14526060 15252363 16947070 20336484 21789090 25420605 30504726 33894140 43578180 50841210 61009452 76261815 80135431 101682420 152523630 160270862 240406293 305047260 320541724 400677155 480812586 560948017 721218879 801354310 961625172 1121896034 1202031465 1442437758 1602708620 1682844051 2243792068 2404062930 2804740085 2884875516 3365688102 3606094395 4808125860 5048532153 5609480170 6731376204 7212188790 8414220255 10097064306 11218960340 14424377580 16828440510 20194128612 25242660765 33656881020 50485321530 100970643060