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201202222010020 = 2257111011293572213
BaseRepresentation
bin101101101111111000001010…
…111110001000111010100100
3222101101202002210102222021021
4231233320022332020322210
5202332444122313310040
61551531005203300524
760244244424640060
oct5557701276107244
9871352083388237
10201202222010020
1159122423aa2460
121a69640907a744
1388363990134ca
14379834d2b8aa0
15183dae8d9324a
hexb6fe0af88ea4

201202222010020 has 96 divisors (see below), whose sum is σ = 531999683018496. Its totient is φ = 62091466176000.

The previous prime is 201202222009933. The next prime is 201202222010029. The reversal of 201202222010020 is 20010222202102.

It is a junction number, because it is equal to n+sod(n) for n = 201202222009976 and 201202222010003.

It is not an unprimeable number, because it can be changed into a prime (201202222010029) 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, 646630567 + ... + 646941646.

It is an arithmetic number, because the mean of its divisors is an integer number (5541663364776).

Almost surely, 2201202222010020 is an apocalyptic number.

201202222010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202222010020 is an abundant number, since it is smaller than the sum of its proper divisors (330797461008476).

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

201202222010020 is a wasteful number, since it uses less digits than its factorization.

201202222010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293572341 (or 1293572339 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201202222010020 its reverse (20010222202102), we get a palindrome (221212444212122).

It can be divided in two parts, 2012022 and 22010020, that added together give a palindrome (24022042).

The spelling of 201202222010020 in words is "two hundred one trillion, two hundred two billion, two hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 155540 1293572213 2587144426 5174288852 6467861065 9055005491 12935722130 14229294343 18110010982 25871444260 28458588686 36220021964 45275027455 56917177372 71146471715 90550054910 99605060401 130650793513 142292943430 181100109820 199210120802 261301587026 284585886860 398420241604 498025302005 522603174052 653253967565 914555554591 996050604010 1306507935130 1437158728643 1829111109182 1992101208020 2613015870260 2874317457286 3658222218364 4572777772955 5748634914572 7185793643215 9145555545910 10060111100501 14371587286430 18291111091820 20120222201002 28743174572860 40240444402004 50300555502505 100601111005010 201202222010020