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1364332480100 = 225297140652833
BaseRepresentation
bin10011110110101000100…
…011011000011001100100
311211102120200021001101022
4103312220203120121210
5134323123103330400
62522433215550312
7200366300510402
oct23665043303144
94742520231338
101364332480100
11486679131717
121a050022b398
139b86b306905
144a0695bc472
1525751bc5b85
hex13da88d8664

1364332480100 has 36 divisors (see below), whose sum is σ = 2991123167844. Its totient is φ = 540106874880.

The previous prime is 1364332480099. The next prime is 1364332480123. The reversal of 1364332480100 is 10842334631.

It can be written as a sum of positive squares in 6 ways, for example, as 44126884096 + 1320205596004 = 210064^2 + 1149002^2 .

It is a super-2 number, since 2×13643324801002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70316717 + ... + 70336116.

Almost surely, 21364332480100 is an apocalyptic number.

1364332480100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364332480100 is an abundant number, since it is smaller than the sum of its proper divisors (1626790687744).

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

1364332480100 is a wasteful number, since it uses less digits than its factorization.

1364332480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140652944 (or 140652937 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 1364332480100 in words is "one trillion, three hundred sixty-four billion, three hundred thirty-two million, four hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 140652833 281305666 562611332 703264165 1406528330 2813056660 3516320825 7032641650 13643324801 14065283300 27286649602 54573299204 68216624005 136433248010 272866496020 341083120025 682166240050 1364332480100