Search a number
-
+
122202200010021 = 337127241269913327
BaseRepresentation
bin11011110010010001101010…
…101110001110110100100101
3121000200102020102121122210120
4123302101222232032310211
5112004130101200310041
61111522525441512153
734511550302336505
oct3362215256166445
9530612212548716
10122202200010021
1135a3473111229a
1211857731642659
135325805a16291
142226891c81a05
15e1db5dcc7366
hex6f246ab8ed25

122202200010021 has 64 divisors (see below), whose sum is σ = 169432871731200. Its totient is φ = 78280940989440.

The previous prime is 122202200009909. The next prime is 122202200010029. The reversal of 122202200010021 is 120010002202221.

It is not a de Polignac number, because 122202200010021 - 27 = 122202200009893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202200010029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9169513860 + ... + 9169527186.

It is an arithmetic number, because the mean of its divisors is an integer number (2647388620800).

Almost surely, 2122202200010021 is an apocalyptic number.

It is an amenable number.

122202200010021 is a deficient number, since it is larger than the sum of its proper divisors (47230671721179).

122202200010021 is a wasteful number, since it uses less digits than its factorization.

122202200010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122202200010021 its reverse (120010002202221), we get a palindrome (242212202212242).

The spelling of 122202200010021 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred million, ten thousand, twenty-one".

Divisors: 1 3 37 111 127 241 381 723 2699 4699 8097 8917 13327 14097 26751 30607 39981 91821 99863 299589 342773 493099 650459 1028319 1132459 1479297 1692529 1951377 3211807 3397377 5077587 9635421 12682601 24066983 35969573 38047803 62623573 72200949 82608293 107908719 118836859 187870719 247824879 356510577 407899489 1223698467 1330874201 3056506841 3992622603 4568135771 8668667093 9169520523 13704407313 15092281093 26006001279 45276843279 169021023527 320740682441 507063070581 962222047323 1100920720811 3302762162433 40734066670007 122202200010021