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13220665700 = 22521121497333
BaseRepresentation
bin11000101000000001…
…10101100101100100
31021010101000101220012
430110000311211210
5204033442300300
610023512425352
7645422542604
oct142400654544
937111011805
1013220665700
1156747a2900
12268b6a8258
131329013418
148d5baac04
155259de435
hex314035964

13220665700 has 108 divisors (see below), whose sum is σ = 31749986100. Its totient is φ = 4774598400.

The previous prime is 13220665691. The next prime is 13220665729. The reversal of 13220665700 is 756602231.

It can be written as a sum of positive squares in 6 ways, for example, as 5634604096 + 7586061604 = 75064^2 + 87098^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1799234 + ... + 1806566.

Almost surely, 213220665700 is an apocalyptic number.

13220665700 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 13220665700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15874993050).

13220665700 is an abundant number, since it is smaller than the sum of its proper divisors (18529320400).

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

13220665700 is a wasteful number, since it uses less digits than its factorization.

13220665700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 13220665700 in words is "thirteen billion, two hundred twenty million, six hundred sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 149 220 242 275 298 484 550 596 605 745 1100 1210 1490 1639 2420 2980 3025 3278 3725 6050 6556 7333 7450 8195 12100 14666 14900 16390 18029 29332 32780 36058 36665 40975 72116 73330 80663 81950 90145 146660 161326 163900 180290 183325 322652 360580 366650 403315 450725 733300 806630 887293 901450 1092617 1613260 1774586 1802900 2016575 2185234 3549172 4033150 4370468 4436465 5463085 8066300 8872930 10926170 12018787 17745860 21852340 22182325 24037574 27315425 44364650 48075148 54630850 60093935 88729300 109261700 120187870 132206657 240375740 264413314 300469675 528826628 600939350 661033285 1201878700 1322066570 2644133140 3305166425 6610332850 13220665700