Search a number
-
+
122211002002200 = 23352769492647013
BaseRepresentation
bin11011110010011001110111…
…010111001010101100011000
3121000201020221212010012010220
4123302121313113022230120
5112004301113003032300
61111530543111040040
734512311362131336
oct3362316727125430
9530636855105126
10122211002002200
1135a384386612a1
1211859389370020
1353265a9458c87
142227088c72b56
15e1dec68deda0
hex6f26775cab18

122211002002200 has 96 divisors (see below), whose sum is σ = 378859172778000. Its totient is φ = 32589164700160.

The previous prime is 122211002002123. The next prime is 122211002002207. The reversal of 122211002002200 is 2200200112221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122211002002200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211002002207) 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, 44845894 + ... + 47492906.

Almost surely, 2122211002002200 is an apocalyptic number.

122211002002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211002002200 is an abundant number, since it is smaller than the sum of its proper divisors (256648170775800).

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

122211002002200 is a wasteful number, since it uses less digits than its factorization.

122211002002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723981 (or 2723972 counting only the distinct ones).

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

Adding to 122211002002200 its reverse (2200200112221), we get a palindrome (124411202114421).

The spelling of 122211002002200 in words is "one hundred twenty-two trillion, two hundred eleven billion, two million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 76949 153898 230847 307796 384745 461694 615592 769490 923388 1154235 1538980 1846776 1923725 2308470 2647013 3077960 3847450 4616940 5294026 5771175 7694900 7941039 9233880 10588052 11542350 13235065 15389800 15882078 21176104 23084700 26470130 31764156 39705195 46169400 52940260 63528312 66175325 79410390 105880520 132350650 158820780 198525975 264701300 317641560 397051950 529402600 794103900 1588207800 203685003337 407370006674 611055010011 814740013348 1018425016685 1222110020022 1629480026696 2036850033370 2444220040044 3055275050055 4073700066740 4888440080088 5092125083425 6110550100110 8147400133480 10184250166850 12221100200220 15276375250275 20368500333700 24442200400440 30552750500550 40737000667400 61105501001100 122211002002200