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2100221310312 = 233413109247241
BaseRepresentation
bin11110100011111110111…
…100011111010101101000
321102210001000220220220000
4132203332330133111220
5233402223123412222
64244454531303000
7304510304405106
oct36437674372550
97383030826800
102100221310312
1173a7761a4674
1229b053a4aa60
13123085b7ca58
147391907cc76
15399718809ac
hex1e8fef1f568

2100221310312 has 80 divisors (see below), whose sum is σ = 5883036855300. Its totient is φ = 700017534720.

The previous prime is 2100221310301. The next prime is 2100221310331. The reversal of 2100221310312 is 2130131220012.

2100221310312 is a `hidden beast` number, since 2 + 100 + 221 + 31 + 0 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1958247591876 + 141973718436 = 1399374^2 + 376794^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8371012 + ... + 8618252.

Almost surely, 22100221310312 is an apocalyptic number.

It is an amenable number.

2100221310312 is an abundant number, since it is smaller than the sum of its proper divisors (3782815544988).

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

2100221310312 is a wasteful number, since it uses less digits than its factorization.

2100221310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260368 (or 260355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2100221310312 its reverse (2130131220012), we get a palindrome (4230352530324).

The spelling of 2100221310312 in words is "two trillion, one hundred billion, two hundred twenty-one million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 13109 26218 39327 52436 78654 104872 117981 157308 235962 247241 314616 353943 471924 494482 707886 741723 943848 988964 1061829 1415772 1483446 1977928 2123658 2225169 2831544 2966892 4247316 4450338 5933784 6675507 8494632 8900676 13351014 17801352 20026521 26702028 40053042 53404056 80106084 160212168 3241082269 6482164538 9723246807 12964329076 19446493614 25928658152 29169740421 38892987228 58339480842 77785974456 87509221263 116678961684 175018442526 233357923368 262527663789 350036885052 525055327578 700073770104 1050110655156 2100221310312