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201020202112122 = 232163269325441531
BaseRepresentation
bin101101101101001110101001…
…101111010101010001111010
3222100202100021111220010000100
4231231032221233111101322
5202322003333220041442
61551311223405220230
760225142001222601
oct5555165157252172
9870670244803010
10201020202112122
1159062209563078
121a66708ab61676
13882217ba78b03
14378d603124a38
151838ee419684c
hexb6d3a9bd547a

201020202112122 has 48 divisors (see below), whose sum is σ = 438378560182368. Its totient is φ = 66570917994720.

The previous prime is 201020202112043. The next prime is 201020202112127. The reversal of 201020202112122 is 221211202020102.

It is a happy number.

201020202112122 is a `hidden beast` number, since 201 + 0 + 20 + 20 + 211 + 212 + 2 = 666.

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 = 201020202112095 and 201020202112104.

It is not an unprimeable number, because it can be changed into a prime (201020202112127) 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, 4819504 + ... + 20622027.

It is an arithmetic number, because the mean of its divisors is an integer number (9132886670466).

Almost surely, 2201020202112122 is an apocalyptic number.

201020202112122 is an abundant number, since it is smaller than the sum of its proper divisors (237358358070246).

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

201020202112122 is a wasteful number, since it uses less digits than its factorization.

201020202112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25444395 (or 25444392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201020202112122 its reverse (221211202020102), we get a palindrome (422231404132224).

The spelling of 201020202112122 in words is "two hundred one trillion, twenty billion, two hundred two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 163 326 489 978 1467 2693 2934 5386 8079 16158 24237 48474 438959 877918 1316877 2633754 3950631 7901262 25441531 50883062 76324593 152649186 228973779 457947558 4146969553 8293939106 12440908659 24881817318 37322725977 68514042983 74645451954 137028085966 205542128949 411084257898 616626386847 1233252773694 11167789006229 22335578012458 33503367018687 67006734037374 100510101056061 201020202112122