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100023121332 = 22322778420037
BaseRepresentation
bin101110100100111010…
…1111011010110110100
3100120011210011000202100
41131021311323112310
53114321404340312
6113541110342100
710140444334431
oct1351165732664
9316153130670
10100023121332
1139468498542
121747565a930
1395805467c4
144bac15cb88
1529062a55dc
hex1749d7b5b4

100023121332 has 18 divisors (see below), whose sum is σ = 252836223458. Its totient is φ = 33341040432.

The previous prime is 100023121309. The next prime is 100023121337. The reversal of 100023121332 is 233121320001.

100023121332 is a `hidden beast` number, since 100 + 0 + 231 + 2 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66783997476 + 33239123856 = 258426^2 + 182316^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023121337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1389209983 + ... + 1389210054.

Almost surely, 2100023121332 is an apocalyptic number.

100023121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100023121332 is an abundant number, since it is smaller than the sum of its proper divisors (152813102126).

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

100023121332 is a wasteful number, since it uses less digits than its factorization.

100023121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778420047 (or 2778420042 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100023121332 its reverse (233121320001), we get a palindrome (333144441333).

The spelling of 100023121332 in words is "one hundred billion, twenty-three million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2778420037 5556840074 8335260111 11113680148 16670520222 25005780333 33341040444 50011560666 100023121332