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1323413004100 = 2252111203102731
BaseRepresentation
bin10011010000100001100…
…011111101111101000100
311200111221221001021221011
4103100201203331331010
5133140322212112400
62451544553332004
7164420256633505
oct23204143757504
94614857037834
101323413004100
11470290159760
121945a0407004
1397a498cbc15
14480a6c64bac
15246596168ba
hex134218fdf44

1323413004100 has 36 divisors (see below), whose sum is σ = 3132879514128. Its totient is φ = 481241092000.

The previous prime is 1323413004071. The next prime is 1323413004119. The reversal of 1323413004100 is 14003143231.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 601550266 + ... + 601552465.

It is an arithmetic number, because the mean of its divisors is an integer number (87024430948).

Almost surely, 21323413004100 is an apocalyptic number.

1323413004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323413004100 is an abundant number, since it is smaller than the sum of its proper divisors (1809466510028).

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

1323413004100 is a wasteful number, since it uses less digits than its factorization.

1323413004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203102756 (or 1203102749 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1323413004100 its reverse (14003143231), we get a palindrome (1337416147331).

It can be divided in two parts, 132341 and 3004100, that added together give a square (3136441 = 17712).

The spelling of 1323413004100 in words is "one trillion, three hundred twenty-three billion, four hundred thirteen million, four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1203102731 2406205462 4812410924 6015513655 12031027310 13234130041 24062054620 26468260082 30077568275 52936520164 60155136550 66170650205 120310273100 132341300410 264682600820 330853251025 661706502050 1323413004100