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232100002100 = 2252171279106747
BaseRepresentation
bin1101100000101000111…
…1001111100100110100
3211012002110002202012002
43120022033033210310
512300320100031400
6254343020314432
722524440315651
oct3301217174464
9735073082162
10232100002100
118a48444495a
1238b959a2a18
1318b6b7a3065
14b33b3b6c28
156086615ed5
hex360a3cf934

232100002100 has 72 divisors (see below), whose sum is σ = 533705840640. Its totient is φ = 87309688320.

The previous prime is 232100002093. The next prime is 232100002109. The reversal of 232100002100 is 1200001232.

It is a happy number.

232100002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232100002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2120927 + ... + 2227673.

It is an arithmetic number, because the mean of its divisors is an integer number (7412581120).

Almost surely, 2232100002100 is an apocalyptic number.

232100002100 is a gapful number since it is divisible by the number (20) 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 232100002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266852920320).

232100002100 is an abundant number, since it is smaller than the sum of its proper divisors (301605838540).

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

232100002100 is a wasteful number, since it uses less digits than its factorization.

232100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108057 (or 108050 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 232100002100 its reverse (1200001232), we get a palindrome (233300003332).

The spelling of 232100002100 in words is "two hundred thirty-two billion, one hundred million, two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1279 1700 2558 5116 6395 12790 21743 25580 31975 43486 63950 86972 106747 108715 127900 213494 217430 426988 434860 533735 543575 1067470 1087150 1814699 2134940 2174300 2668675 3629398 5337350 7258796 9073495 10674700 18146990 36293980 45367475 90734950 136529413 181469900 273058826 546117652 682647065 1365294130 2321000021 2730588260 3413235325 4642000042 6826470650 9284000084 11605000105 13652941300 23210000210 46420000420 58025000525 116050001050 232100002100