Search a number
-
+
23311021111220 = 22529101397934809
BaseRepresentation
bin1010100110011100001010…
…01000011111011110110100
310001112111211010211021020102
411103032011020133132310
511023411432401024340
6121324534003253232
74624110556062053
oct523160510373664
9101474733737212
1023311021111220
11747816a777a97
1227459b997a218
1310012b204c00b
145a838bca039a
152a658e5e8215
hex15338521f7b4

23311021111220 has 48 divisors (see below), whose sum is σ = 51142581781200. Its totient is φ = 8913739699200.

The previous prime is 23311021111193. The next prime is 23311021111349. The reversal of 23311021111220 is 2211112011332.

It can be written as a sum of positive squares in 8 ways, for example, as 971143237156 + 22339877874064 = 985466^2 + 4726508^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23311021111192 and 23311021111201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198908825 + ... + 199025984.

It is an arithmetic number, because the mean of its divisors is an integer number (1065470453775).

Almost surely, 223311021111220 is an apocalyptic number.

23311021111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23311021111220 is an abundant number, since it is smaller than the sum of its proper divisors (27831560669980).

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

23311021111220 is a wasteful number, since it uses less digits than its factorization.

23311021111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397934948 (or 397934946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 23311021111220 its reverse (2211112011332), we get a palindrome (25522133122552).

The spelling of 23311021111220 in words is "twenty-three trillion, three hundred eleven billion, twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 1010 2020 2929 5858 11716 14645 29290 58580 397934809 795869618 1591739236 1989674045 3979348090 7958696180 11540109461 23080218922 40191415709 46160437844 57700547305 80382831418 115401094610 160765662836 200957078545 230802189220 401914157090 803828314180 1165551055561 2331102111122 4662204222244 5827755277805 11655510555610 23311021111220