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1310233320100 = 225279283358543
BaseRepresentation
bin10011000100001111111…
…111011101101010100100
311122020221102010222100201
4103010033333131222210
5132431324212220400
62441525103120244
7163442542315015
oct23041777355244
94566842128321
101310233320100
11465737608031
12191b225a3084
1396729237133
14475b66c500c
152413752006a
hex1310ffddaa4

1310233320100 has 72 divisors (see below), whose sum is σ = 2880261762560. Its totient is φ = 517267745280.

The previous prime is 1310233320049. The next prime is 1310233320167. The reversal of 1310233320100 is 10233320131.

It is a super-2 number, since 2×13102333201002 (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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22351429 + ... + 22409971.

Almost surely, 21310233320100 is an apocalyptic number.

1310233320100 is a gapful number since it is divisible by the number (10) 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 1310233320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440130881280).

1310233320100 is an abundant number, since it is smaller than the sum of its proper divisors (1570028442460).

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

1310233320100 is a wasteful number, since it uses less digits than its factorization.

1310233320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61469 (or 61462 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1310233320100 its reverse (10233320131), we get a palindrome (1320466640231).

The spelling of 1310233320100 in words is "one trillion, three hundred ten billion, two hundred thirty-three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 2833 3950 5666 7900 11332 14165 28330 56660 58543 70825 117086 141650 223807 234172 283300 292715 447614 585430 895228 1119035 1170860 1463575 2238070 2927150 4476140 4624897 5595175 5854300 9249794 11190350 18499588 22380700 23124485 46248970 92497940 115622425 165852319 231244850 331704638 462489700 663409276 829261595 1658523190 3317046380 4146307975 8292615950 13102333201 16585231900 26204666402 52409332804 65511666005 131023332010 262046664020 327558330025 655116660050 1310233320100