Search a number
-
+
2072270103300 = 2232522302522337
BaseRepresentation
bin11110001001111100111…
…011000110001100000100
321100002220001210111010200
4132021330323012030010
5232423002121301200
64223553204050500
7302500533150465
oct36117473061404
97302801714120
102072270103300
117299324a4091
12295753093a30
131205500b6bc7
1472426b90d6c
1538d87a56800
hex1e27cec6304

2072270103300 has 54 divisors (see below), whose sum is σ = 6495415515498. Its totient is φ = 552605360640.

The previous prime is 2072270103263. The next prime is 2072270103313. The reversal of 2072270103300 is 33010722702.

It is a happy number.

2072270103300 is a `hidden beast` number, since 20 + 72 + 270 + 1 + 0 + 3 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 736040453184 + 1336229650116 = 857928^2 + 1155954^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1151260269 + ... + 1151262068.

Almost surely, 22072270103300 is an apocalyptic number.

2072270103300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072270103300 is an abundant number, since it is smaller than the sum of its proper divisors (4423145412198).

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

2072270103300 is a wasteful number, since it uses less digits than its factorization.

2072270103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302522357 (or 2302522347 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 2072270103300 in words is "two trillion, seventy-two billion, two hundred seventy million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2302522337 4605044674 6907567011 9210089348 11512611685 13815134022 20722701033 23025223370 27630268044 34537835055 41445402066 46050446740 57563058425 69075670110 82890804132 103613505165 115126116850 138151340220 172689175275 207227010330 230252233700 345378350550 414454020660 518067525825 690756701100 1036135051650 2072270103300