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202200212110120 = 23571017149936779
BaseRepresentation
bin101101111110011001100111…
…110100001111101100101000
3222111221011002102212220102021
4231332121213310033230220
5203000322013300010440
61554013254534514224
760406324515552460
oct5576314764175450
9874834072786367
10202200212110120
11594776a0429854
121a817909b05974
1388a9523a79863
1437d078480aba0
151859a58e3d84a
hexb7e667d0fb28

202200212110120 has 64 divisors (see below), whose sum is σ = 525091357123200. Its totient is φ = 68639393068800.

The previous prime is 202200212110111. The next prime is 202200212110157. The reversal of 202200212110120 is 21011212002202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202200212110094 and 202200212110103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3574940110 + ... + 3574996669.

It is an arithmetic number, because the mean of its divisors is an integer number (8204552455050).

Almost surely, 2202200212110120 is an apocalyptic number.

202200212110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200212110120 is an abundant number, since it is smaller than the sum of its proper divisors (322891145013080).

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

202200212110120 is a wasteful number, since it uses less digits than its factorization.

202200212110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149936898 (or 7149936894 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202200212110120 its reverse (21011212002202), we get a palindrome (223211424112322).

The spelling of 202200212110120 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 3535 4040 5656 7070 14140 28280 7149936779 14299873558 28599747116 35749683895 50049557453 57199494232 71499367790 100099114906 142998735580 200198229812 250247787265 285997471160 400396459624 500495574530 722143614679 1000991149060 1444287229358 2001982298120 2888574458716 3610718073395 5055005302753 5777148917432 7221436146790 10110010605506 14442872293580 20220021211012 25275026513765 28885744587160 40440042422024 50550053027530 101100106055060 202200212110120