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13300103123220 = 22353136131979129
BaseRepresentation
bin1100000110001010101111…
…1011000001000100010100
31202002110220001110202111010
43001202223323001010110
53220402102344420340
644141552200012220
72541620645144604
oct301425373010424
952073801422433
1013300103123220
1142685a6530aa1
1215a9795761070
1375626ac82284
1433da2ab2cc04
15180e75e15b80
hexc18abec1114

13300103123220 has 96 divisors (see below), whose sum is σ = 38452247608320. Its totient is φ = 3431332961280.

The previous prime is 13300103123147. The next prime is 13300103123257. The reversal of 13300103123220 is 2232130100331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5730616 + ... + 7709744.

It is an arithmetic number, because the mean of its divisors is an integer number (400544245920).

Almost surely, 213300103123220 is an apocalyptic number.

13300103123220 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 13300103123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19226123804160).

13300103123220 is an abundant number, since it is smaller than the sum of its proper divisors (25152144485100).

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

13300103123220 is a wasteful number, since it uses less digits than its factorization.

13300103123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982785 (or 1982783 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13300103123220 its reverse (2232130100331), we get a palindrome (15532233223551).

The spelling of 13300103123220 in words is "thirteen trillion, three hundred billion, one hundred three million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3613 7226 10839 14452 18065 21678 36130 43356 54195 72260 108390 112003 216780 224006 336009 448012 560015 672018 1120030 1344036 1680045 1979129 2240060 3360090 3958258 5937387 6720180 7916516 9895645 11874774 19791290 23749548 29686935 39582580 59373870 61352999 118747740 122705998 184058997 245411996 306764995 368117994 613529990 736235988 920294985 1227059980 1840589970 3681179940 7150593077 14301186154 21451779231 28602372308 35752965385 42903558462 71505930770 85807116924 107258896155 143011861540 214517792310 221668385387 429035584620 443336770774 665005156161 886673541548 1108341926935 1330010312322 2216683853870 2660020624644 3325025780805 4433367707740 6650051561610 13300103123220