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103312001320 = 23511857273979
BaseRepresentation
bin110000000110111100…
…0000000100100101000
3100212122222202102221021
41200031320000210220
53143040333020240
6115243314422224
710315111344013
oct1401570004450
9325588672837
10103312001320
113a8a5a27780
1218032b91974
139985a34538
145000c8237a
152a49dad54a
hex180de00928

103312001320 has 64 divisors (see below), whose sum is σ = 253880827200. Its totient is φ = 37524026880.

The previous prime is 103312001257. The next prime is 103312001371. The reversal of 103312001320 is 23100213301.

It is a junction number, because it is equal to n+sod(n) for n = 103312001294 and 103312001303.

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, 240091 + ... + 514069.

It is an arithmetic number, because the mean of its divisors is an integer number (3966887925).

Almost surely, 2103312001320 is an apocalyptic number.

103312001320 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 103312001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126940413600).

103312001320 is an abundant number, since it is smaller than the sum of its proper divisors (150568825880).

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

103312001320 is a wasteful number, since it uses less digits than its factorization.

103312001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274858 (or 274854 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103312001320 its reverse (23100213301), we get a palindrome (126412214621).

The spelling of 103312001320 in words is "one hundred three billion, three hundred twelve million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 857 1714 3428 4285 6856 8570 9427 17140 18854 34280 37708 47135 75416 94270 188540 273979 377080 547958 1095916 1369895 2191832 2739790 3013769 5479580 6027538 10959160 12055076 15068845 24110152 30137690 60275380 120550760 234800003 469600006 939200012 1174000015 1878400024 2348000030 2582800033 4696000060 5165600066 9392000120 10331200132 12914000165 20662400264 25828000330 51656000660 103312001320