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2442202004221 = 724311313178301
BaseRepresentation
bin100011100010011110100…
…101010011101011111101
322122110202020221011101021
4203202132211103223331
5310003112203113341
65105533200344141
7341305020344200
oct43423645235375
98573666834337
102442202004221
118618063aa621
12335394615051
131493b6208935
14862bb85d937
15437d98739d1
hex2389e953afd

2442202004221 has 48 divisors (see below), whose sum is σ = 2955147547968. Its totient is φ = 2011044672000.

The previous prime is 2442202004197. The next prime is 2442202004227. The reversal of 2442202004221 is 1224002022442.

It is not a de Polignac number, because 2442202004221 - 213 = 2442201996029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442202004227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31150771 + ... + 31229071.

It is an arithmetic number, because the mean of its divisors is an integer number (61565573916).

Almost surely, 22442202004221 is an apocalyptic number.

It is an amenable number.

2442202004221 is a deficient number, since it is larger than the sum of its proper divisors (512945543747).

2442202004221 is a wasteful number, since it uses less digits than its factorization.

2442202004221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78602 (or 78595 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2442202004221 its reverse (1224002022442), we get a palindrome (3666204026663).

The spelling of 2442202004221 in words is "two trillion, four hundred forty-two billion, two hundred two million, four thousand, two hundred twenty-one".

Divisors: 1 7 43 49 113 131 301 791 917 2107 4859 5537 5633 6419 14803 34013 39431 78301 103621 238091 276017 548107 636529 725347 3366943 3836749 4455703 8848013 10257431 23568601 31189921 61936091 71802017 164980207 380464559 433552637 441069533 502614119 1159089703 2663251913 3087486731 8113627921 18642763391 21612407117 49840857229 56795395447 348886000603 2442202004221