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201224222422102 = 211217139909138707
BaseRepresentation
bin101101110000001100101010…
…010011000011010001010110
3222101110211220001002201000101
4231300030222103003101112
5202333324201420001402
61551545044232404314
760245653550233135
oct5560145223032126
9871424801081011
10201224222422102
115913079371a700
121a69a728b4669a
138838493c7ac19
14379943912591c
15183e485553b87
hexb7032a4c3456

201224222422102 has 96 divisors (see below), whose sum is σ = 353861729585280. Its totient is φ = 85454301715200.

The previous prime is 201224222422087. The next prime is 201224222422129.

It is a happy number.

201224222422102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5198632633 + ... + 5198671339.

It is an arithmetic number, because the mean of its divisors is an integer number (3686059683180).

Almost surely, 2201224222422102 is an apocalyptic number.

201224222422102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201224222422102 is a deficient number, since it is larger than the sum of its proper divisors (152637507163178).

201224222422102 is a wasteful number, since it uses less digits than its factorization.

201224222422102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47978 (or 47967 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

It can be divided in two parts, 20122 and 4222422102, that added together give a palindrome (4222442224).

The spelling of 201224222422102 in words is "two hundred one trillion, two hundred twenty-four billion, two hundred twenty-two million, four hundred twenty-two thousand, one hundred two".

Divisors: 1 2 11 17 22 34 121 139 187 242 278 374 1529 2057 2363 3058 4114 4726 9091 16819 18182 25993 33638 38707 51986 77414 100001 154547 200002 285923 309094 425777 571846 658019 851554 1100011 1263649 1316038 1700017 2200022 2527298 3400034 4683547 5380273 7238209 9367094 10760546 13900139 14476418 18700187 21482033 27800278 37400374 42964066 59183003 79620299 91464641 118366006 152901529 159240598 182929282 236302363 305803058 351885337 472604726 651013033 703770674 1006111051 1302026066 2012222102 2599325993 3870738707 5198651986 5982050729 7741477414 11067221561 11964101458 22134443122 42578125777 48912061843 65802558019 85156251554 97824123686 131605116038 538032680273 723828138209 831505051331 1076065360546 1447656276418 1663010102662 5918359483003 9146555564641 11836718966006 18293111129282 100612111211051 201224222422102