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220101100410224 = 241131117413343583
BaseRepresentation
bin110010000010111001000111…
…111001111001010101110000
31001212022110102010100112112002
4302002321013321321111300
5212322114023201111344
62100041014420153132
764234531310550125
oct6202710771712560
91055273363315462
10220101100410224
1164149397180a20
12208290992387a8
1395a75a2047957
143c4cd4310a74c
151a6a504a7744e
hexc82e47e79570

220101100410224 has 80 divisors (see below), whose sum is σ = 480226070421504. Its totient is φ = 96817559481600.

The previous prime is 220101100410221. The next prime is 220101100410229. The reversal of 220101100410224 is 422014001101022.

220101100410224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2201011004102242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220101100410196 and 220101100410205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101100410221) 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, 640433537 + ... + 640777119.

Almost surely, 2220101100410224 is an apocalyptic number.

It is an amenable number.

220101100410224 is an abundant number, since it is smaller than the sum of its proper divisors (260124970011280).

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

220101100410224 is a wasteful number, since it uses less digits than its factorization.

220101100410224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461046 (or 461040 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220101100410224 its reverse (422014001101022), we get a palindrome (642115101511246).

The spelling of 220101100410224 in words is "two hundred twenty trillion, one hundred one billion, one hundred million, four hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 117413 234826 343583 469652 687166 939304 1291543 1374332 1878608 2583086 2748664 3639803 3779413 5166172 5497328 7279606 7558826 10332344 10651073 14559212 15117652 20664688 21302146 29118424 30235304 40037833 42604292 58236848 60470608 80075666 85208584 117161803 160151332 170417168 234323606 320302664 468647212 640605328 937294424 1874588848 40341110779 80682221558 161364443116 322728886232 443752218569 645457772464 887504437138 1250574434149 1775008874276 2501148868298 3550017748552 5002297736596 7100035497104 10004595473192 13756318775639 20009190946384 27512637551278 55025275102556 110050550205112 220101100410224