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220134111230020 = 225137356531150909
BaseRepresentation
bin110010000011010111110111…
…100000001011100001000100
31001212102121121201000221012111
4302003113313200023201010
5212323134124433330040
62100104114204430404
764240110330104221
oct6203276740134104
91055377551027174
10220134111230020
11641613969a5479
1220833570548404
1395aa733112010
143c50795376948
151a6b2d7b80dea
hexc835f780b844

220134111230020 has 48 divisors (see below), whose sum is σ = 497842868542320. Its totient is φ = 81280106113536.

The previous prime is 220134111229979. The next prime is 220134111230021. The reversal of 220134111230020 is 20032111431022.

It can be written as a sum of positive squares in 8 ways, for example, as 117965317881856 + 102168793348164 = 10861184^2 + 10107858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220134111229973 and 220134111230000.

It is not an unprimeable number, because it can be changed into a prime (220134111230021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190694326 + ... + 191845234.

It is an arithmetic number, because the mean of its divisors is an integer number (10371726427965).

Almost surely, 2220134111230020 is an apocalyptic number.

220134111230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220134111230020 is an abundant number, since it is smaller than the sum of its proper divisors (277708757312300).

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

220134111230020 is a wasteful number, since it uses less digits than its factorization.

220134111230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886584 (or 1886582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 220134111230020 its reverse (20032111431022), we get a palindrome (240166222661042).

The spelling of 220134111230020 in words is "two hundred twenty trillion, one hundred thirty-four billion, one hundred eleven million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 735653 1150909 1471306 2301818 2942612 3678265 4603636 5754545 7356530 9563489 11509090 14713060 14961817 19126978 23018180 29923634 38253956 47817445 59847268 74809085 95634890 149618170 191269780 299236340 846669658577 1693339317154 3386678634308 4233348292885 8466696585770 11006705561501 16933393171540 22013411123002 44026822246004 55033527807505 110067055615010 220134111230020