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13323020100 = 22352135957901
BaseRepresentation
bin11000110100001110…
…10010011101000100
31021101111121112201220
430122013102131010
5204241143120400
610042010320340
7651104542125
oct143207223504
937344545656
1013323020100
115717552215
1226b9a290b0
13134429c760
1490561204c
1552e9ab7a0
hex31a1d2744

13323020100 has 144 divisors (see below), whose sum is σ = 42217506240. Its totient is φ = 3223872000.

The previous prime is 13323020093. The next prime is 13323020107. The reversal of 13323020100 is 102032331.

It is an interprime number because it is at equal distance from previous prime (13323020093) and next prime (13323020107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13323020100.

It is not an unprimeable number, because it can be changed into a prime (13323020107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201150 + ... + 259050.

Almost surely, 213323020100 is an apocalyptic number.

13323020100 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 13323020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108753120).

13323020100 is an abundant number, since it is smaller than the sum of its proper divisors (28894486140).

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

13323020100 is a wasteful number, since it uses less digits than its factorization.

13323020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57990 (or 57983 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13323020100 its reverse (102032331), we get a palindrome (13425052431).

The spelling of 13323020100 in words is "thirteen billion, three hundred twenty-three million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 118 130 150 156 177 195 236 260 295 300 325 354 390 590 650 708 767 780 885 975 1180 1300 1475 1534 1770 1950 2301 2950 3068 3540 3835 3900 4425 4602 5900 7670 8850 9204 11505 15340 17700 19175 23010 38350 46020 57525 57901 76700 115050 115802 173703 230100 231604 289505 347406 579010 694812 752713 868515 1158020 1447525 1505426 1737030 2258139 2895050 3010852 3416159 3474060 3763565 4342575 4516278 5790100 6832318 7527130 8685150 9032556 10248477 11290695 13664636 15054260 17080795 17370300 18817825 20496954 22581390 34161590 37635650 40993908 44410067 45162780 51242385 56453475 68323180 75271300 85403975 88820134 102484770 112906950 133230201 170807950 177640268 204969540 222050335 225813900 256211925 266460402 341615900 444100670 512423850 532920804 666151005 888201340 1024847700 1110251675 1332302010 2220503350 2664604020 3330755025 4441006700 6661510050 13323020100