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100122323130 = 23351019473877
BaseRepresentation
bin101110100111111000…
…0010110100010111010
3100120102200211000001000
41131033300112202322
53120022303320010
6113555012505430
710143060463464
oct1351760264272
9316380730030
10100122323130
11395094942a5
12174a291b276
139597c6abab
144bbb3c3134
15290ed4d7c0
hex174fc168ba

100122323130 has 128 divisors (see below), whose sum is σ = 269990703360. Its totient is φ = 26400211200.

The previous prime is 100122323113. The next prime is 100122323143. The reversal of 100122323130 is 31323221001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 25822752 + ... + 25826628.

It is an arithmetic number, because the mean of its divisors is an integer number (2109302370).

Almost surely, 2100122323130 is an apocalyptic number.

100122323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134995351680).

100122323130 is an abundant number, since it is smaller than the sum of its proper divisors (169868380230).

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

100122323130 is a wasteful number, since it uses less digits than its factorization.

100122323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100122323130 its reverse (31323221001), we get a palindrome (131445544131).

The spelling of 100122323130 in words is "one hundred billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 947 1010 1515 1818 1894 2727 2841 3030 3877 4545 4735 5454 5682 7754 8523 9090 9470 11631 13635 14205 17046 19385 23262 25569 27270 28410 34893 38770 42615 51138 58155 69786 85230 95647 104679 116310 127845 174465 191294 209358 255690 286941 348930 391577 478235 523395 573882 783154 860823 956470 1046790 1174731 1434705 1721646 1957885 2349462 2582469 2869410 3524193 3671519 3915770 4304115 5164938 5873655 7048386 7343038 8608230 10572579 11014557 11747310 12912345 17620965 18357595 21145158 22029114 25824690 33043671 35241930 36715190 52862895 55072785 66087342 99131013 105725790 110145570 165218355 198262026 330436710 370823419 495655065 741646838 991310130 1112470257 1854117095 2224940514 3337410771 3708234190 5562351285 6674821542 10012232313 11124702570 16687053855 20024464626 33374107710 50061161565 100122323130