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10232320200 = 2335217995273
BaseRepresentation
bin10011000011110010…
…01101000011001000
3222102002220201112020
421201321031003020
5131423433221300
64411202044440
7511365200214
oct114171150310
928362821466
1010232320200
114380972683
121b96949720
13c70b7c84b
146d0d59944
153ed49d8a0
hex261e4d0c8

10232320200 has 96 divisors (see below), whose sum is σ = 31897735200. Its totient is φ = 2713346560.

The previous prime is 10232320171. The next prime is 10232320229. The reversal of 10232320200 is 202323201.

It is an interprime number because it is at equal distance from previous prime (10232320171) and next prime (10232320229).

It is a super-3 number, since 3×102323202003 (a number of 31 digits) contains 333 as substring.

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 10232320200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59764 + ... + 155036.

It is an arithmetic number, because the mean of its divisors is an integer number (332268075).

Almost surely, 210232320200 is an apocalyptic number.

10232320200 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 10232320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948867600).

10232320200 is an abundant number, since it is smaller than the sum of its proper divisors (21665415000).

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

10232320200 is a wasteful number, since it uses less digits than its factorization.

10232320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95471 (or 95462 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10232320200 its reverse (202323201), we get a palindrome (10434643401).

The spelling of 10232320200 in words is "ten billion, two hundred thirty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 179 200 300 358 537 600 716 895 1074 1432 1790 2148 2685 3580 4296 4475 5370 7160 8950 10740 13425 17900 21480 26850 35800 53700 95273 107400 190546 285819 381092 476365 571638 762184 952730 1143276 1429095 1905460 2286552 2381825 2858190 3810920 4763650 5716380 7145475 9527300 11432760 14290950 17053867 19054600 28581900 34107734 51161601 57163800 68215468 85269335 102323202 136430936 170538670 204646404 255808005 341077340 409292808 426346675 511616010 682154680 852693350 1023232020 1279040025 1705386700 2046464040 2558080050 3410773400 5116160100 10232320200