Search a number
-
+
202221111001122 = 232131467183639377
BaseRepresentation
bin101101111110101101000101…
…011111001100000000100010
3222112000011000220211120022100
4231332231011133030000202
5203001142313404013442
61554031032414351230
760410664434316033
oct5576550537140042
9875004026746270
10202221111001122
11594855452a29a4
121a81b980abb516
1388ab4a4750155
1437d17a8240a8a
15185a37da6784c
hexb7eb457cc022

202221111001122 has 48 divisors (see below), whose sum is σ = 442435742397792. Its totient is φ = 66749240388480.

The previous prime is 202221111001103. The next prime is 202221111001127. The reversal of 202221111001122 is 221100111122202.

202221111001122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202221111001095 and 202221111001104.

It is not an unprimeable number, because it can be changed into a prime (202221111001127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90718503 + ... + 92920874.

It is an arithmetic number, because the mean of its divisors is an integer number (9217411299954).

Almost surely, 2202221111001122 is an apocalyptic number.

202221111001122 is an abundant number, since it is smaller than the sum of its proper divisors (240214631396670).

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

202221111001122 is a wasteful number, since it uses less digits than its factorization.

202221111001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183639983 (or 183639980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202221111001122 its reverse (221100111122202), we get a palindrome (423321222123324).

The spelling of 202221111001122 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred eleven million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 131 262 393 467 786 934 1179 1401 2358 2802 4203 8406 61177 122354 183531 367062 550593 1101186 183639377 367278754 550918131 1101836262 1652754393 3305508786 24056758387 48113516774 72170275161 85759589059 144340550322 171519178118 216510825483 257278767177 433021650966 514557534354 771836301531 1543672603062 11234506166729 22469012333458 33703518500187 67407037000374 101110555500561 202221111001122