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2221303131201 = 371137243258197
BaseRepresentation
bin100000010100101111111…
…110111110110001000001
321212100120102201201122210
4200110233332332301001
5242343212100144301
64420241431052333
7316324651040220
oct40245776766101
97770512651583
102221303131201
1178705a787840
122ba605b110a9
1313161122140b
1479723d50cb7
153cbab7caad6
hex2052ffbec41

2221303131201 has 32 divisors (see below), whose sum is σ = 3692669303808. Its totient is φ = 1153888251840.

The previous prime is 2221303131199. The next prime is 2221303131217. The reversal of 2221303131201 is 1021313031222.

It is not a de Polignac number, because 2221303131201 - 21 = 2221303131199 is a prime.

It is a super-3 number, since 3×22213031312013 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2221303131251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8474035 + ... + 8732231.

It is an arithmetic number, because the mean of its divisors is an integer number (115395915744).

Almost surely, 22221303131201 is an apocalyptic number.

2221303131201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2221303131201 is a deficient number, since it is larger than the sum of its proper divisors (1471366172607).

2221303131201 is a wasteful number, since it uses less digits than its factorization.

2221303131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295461.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2221303131201 its reverse (1021313031222), we get a palindrome (3242616162423).

The spelling of 2221303131201 in words is "two trillion, two hundred twenty-one billion, three hundred three million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 7 11 21 33 77 231 37243 111729 258197 260701 409673 774591 782103 1229019 1807379 2840167 2867711 5422137 8520501 8603133 19881169 59643507 9616030871 28848092613 67312216097 105776339581 201936648291 317329018743 740434377067 2221303131201