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2102312212 = 22711131094817
BaseRepresentation
bin111110101001110…
…1011110100010100
312102111212112012021
41331103223310110
513301142442322
6544335502524
7103045234060
oct17523536424
95374775167
102102312212
11989778310
124a8087a44
1327671a430
1415d2ccaa0
15c48724c7
hex7d4ebd14

2102312212 has 96 divisors (see below), whose sum is σ = 4986051840. Its totient is φ = 748984320.

The previous prime is 2102312197. The next prime is 2102312243. The reversal of 2102312212 is 2122132012.

It is a happy number.

It is a congruent number.

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, 434028 + ... + 438844.

It is an arithmetic number, because the mean of its divisors is an integer number (51938040).

Almost surely, 22102312212 is an apocalyptic number.

2102312212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493025920).

2102312212 is an abundant number, since it is smaller than the sum of its proper divisors (2883739628).

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

2102312212 is a wasteful number, since it uses less digits than its factorization.

2102312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2102312212 is about 45850.9783101735. The cubic root of 2102312212 is about 1281.0489879157.

Adding to 2102312212 its reverse (2122132012), we get a palindrome (4224444224).

The spelling of 2102312212 in words is "two billion, one hundred two million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 109 143 154 182 218 286 308 364 436 572 763 1001 1199 1417 1526 2002 2398 2834 3052 4004 4796 4817 5668 8393 9634 9919 15587 16786 19268 19838 31174 33572 33719 39676 52987 62348 62621 67438 105974 109109 125242 134876 211948 218218 250484 370909 436436 438347 525053 688831 741818 876694 1050106 1377662 1483636 1753388 2100212 2755324 3675371 4821817 5775583 6825689 7350742 9643634 11551166 13651378 14701484 19287268 23102332 27302756 40429081 47779823 75082579 80858162 95559646 150165158 161716324 191119292 300330316 525578053 1051156106 2102312212