Search a number
-
+
22142440032100 = 22522931246300779
BaseRepresentation
bin1010000100011011100000…
…10001011100011101100100
32220101210111201100201011021
411002031300101130131210
510400240204122011400
6115032032503220524
74443511206563323
oct502156021343544
986353451321137
1022142440032100
117067613167213
12259742a447744
13c4803baa106b
145679b241a0ba
15285e97db771a
hex14237045c764

22142440032100 has 72 divisors (see below), whose sum is σ = 51309378489600. Its totient is φ = 8275706140800.

The previous prime is 22142440032091. The next prime is 22142440032149. The reversal of 22142440032100 is 123004424122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123060490 + ... + 123240289.

It is an arithmetic number, because the mean of its divisors is an integer number (712630256800).

Almost surely, 222142440032100 is an apocalyptic number.

22142440032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142440032100 is an abundant number, since it is smaller than the sum of its proper divisors (29166938457500).

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

22142440032100 is a wasteful number, since it uses less digits than its factorization.

22142440032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246300853 (or 246300846 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22142440032100 its reverse (123004424122), we get a palindrome (22265444456222).

The spelling of 22142440032100 in words is "twenty-two trillion, one hundred forty-two billion, four hundred forty million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 155 290 310 580 620 725 775 899 1450 1550 1798 2900 3100 3596 4495 8990 17980 22475 44950 89900 246300779 492601558 985203116 1231503895 2463007790 4926015580 6157519475 7142722591 7635324149 12315038950 14285445182 15270648298 24630077900 28570890364 30541296596 35713612955 38176620745 71427225910 76353241490 142854451820 152706482980 178568064775 190883103725 221424400321 357136129550 381766207450 442848800642 714272259100 763532414900 885697601284 1107122001605 2214244003210 4428488006420 5535610008025 11071220016050 22142440032100