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133221231000100 = 22521372997036369
BaseRepresentation
bin11110010010100111111100…
…001001100111101000100100
3122110200211021122102210122101
4132102213330021213220210
5114430144040114000400
61151200553313341444
740026626203350205
oct3622477411475044
9573624248383571
10133221231000100
11394a2896913781
1212b37200867884
135944928b385b9
1424c7d28b3b5ac
1510605cb0dd56a
hex7929fc267a24

133221231000100 has 36 divisors (see below), whose sum is σ = 289111131141700. Its totient is φ = 53284610396160.

The previous prime is 133221231000079. The next prime is 133221231000133. The reversal of 133221231000100 is 1000132122331.

It can be written as a sum of positive squares in 6 ways, for example, as 17501702436 + 133203729297664 = 132294^2 + 11541392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47145285 + ... + 49891084.

Almost surely, 2133221231000100 is an apocalyptic number.

133221231000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133221231000100 is an abundant number, since it is smaller than the sum of its proper divisors (155889900141600).

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

133221231000100 is a wasteful number, since it uses less digits than its factorization.

133221231000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97050112 (or 97050105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 133221231000100 its reverse (1000132122331), we get a palindrome (134221363122431).

The spelling of 133221231000100 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, two hundred thirty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 13729 27458 54916 68645 137290 274580 343225 686450 1372900 97036369 194072738 388145476 485181845 970363690 1940727380 2425909225 4851818450 9703636900 1332212310001 2664424620002 5328849240004 6661061550005 13322123100010 26644246200020 33305307750025 66610615500050 133221231000100