Search a number
-
+
2122100221010 = 257112995033597
BaseRepresentation
bin11110111000010111000…
…001111010010001010010
321111212111210221202001212
4132320113001322101102
5234232030124033020
64302513540300122
7306213423154550
oct36702701722122
97455453852055
102122100221010
11748a83285050
122a333b0a1642
131251618b6063
14749d2adcbd0
153a302540cc5
hex1ee1707a452

2122100221010 has 64 divisors (see below), whose sum is σ = 4926541720320. Its totient is φ = 638625765120.

The previous prime is 2122100220991. The next prime is 2122100221027. The reversal of 2122100221010 is 101220012212.

It is a super-3 number, since 3×21221002210103 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47494469 + ... + 47539128.

It is an arithmetic number, because the mean of its divisors is an integer number (76977214380).

Almost surely, 22122100221010 is an apocalyptic number.

2122100221010 is an abundant number, since it is smaller than the sum of its proper divisors (2804441499310).

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

2122100221010 is a wasteful number, since it uses less digits than its factorization.

2122100221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95033651.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122100221010 its reverse (101220012212), we get a palindrome (2223320233222).

The spelling of 2122100221010 in words is "two trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 29 35 55 58 70 77 110 145 154 203 290 319 385 406 638 770 1015 1595 2030 2233 3190 4466 11165 22330 95033597 190067194 475167985 665235179 950335970 1045369567 1330470358 2090739134 2755974313 3326175895 5226847835 5511948626 6652351790 7317586969 10453695670 13779871565 14635173938 19291820191 27559743130 30315717443 36587934845 38583640382 60631434886 73175869690 96459100955 151578587215 192918201910 212210022101 303157174430 424420044202 1061050110505 2122100221010