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2100310212 = 22371113174851
BaseRepresentation
bin111110100110000…
…0011000011000100
312102101002210222010
41331030003003010
513300134411322
6544224534220
7103022225250
oct17514030304
95371083863
102100310212
11988630170
124a7481370
13276199110
1415cd2b260
15c45c920c
hex7d3030c4

2100310212 has 96 divisors (see below), whose sum is σ = 6580030464. Its totient is φ = 503568000.

The previous prime is 2100310211. The next prime is 2100310213. The reversal of 2100310212 is 2120130012.

It is an interprime number because it is at equal distance from previous prime (2100310211) and next prime (2100310213).

It is a super-2 number, since 2×21003102122 = 8822605973262969888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2100310211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75414 + ... + 99437.

It is an arithmetic number, because the mean of its divisors is an integer number (68541984).

Almost surely, 22100310212 is an apocalyptic number.

2100310212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2100310212 is an abundant number, since it is smaller than the sum of its proper divisors (4479720252).

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

2100310212 is a wasteful number, since it uses less digits than its factorization.

2100310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174889 (or 174887 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100310212 is about 45829.1415149793. The cubic root of 2100310212 is about 1280.6422176010.

Adding to 2100310212 its reverse (2120130012), we get a palindrome (4220440224).

The spelling of 2100310212 in words is "two billion, one hundred million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 174851 349702 524553 699404 1049106 1223957 1923361 2098212 2273063 2447914 3671871 3846722 4546126 4895828 5770083 6819189 7343742 7693444 9092252 11540166 13463527 13638378 14687484 15911441 23080332 25003693 26927054 27276756 31822882 40390581 47734323 50007386 53854108 63645764 75011079 80781162 95468646 100014772 150022158 161562324 175025851 190937292 300044316 350051702 525077553 700103404 1050155106 2100310212