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2113210032200 = 235253211394349
BaseRepresentation
bin11110110000000101001…
…000100010000001001000
321111000120020111100200122
4132300011020202001020
5234110323232012300
64254443440522412
7305450212621001
oct36600510420110
97430506440618
102113210032200
11745230a76673
122a1679920408
13124375b031c7
14743cc1101a8
1539e81d05c85
hex1ec05222048

2113210032200 has 96 divisors (see below), whose sum is σ = 5008337649000. Its totient is φ = 828933980160.

The previous prime is 2113210032191. The next prime is 2113210032239. The reversal of 2113210032200 is 22300123112.

It can be written as a sum of positive squares in 12 ways, for example, as 245783926756 + 1867426105444 = 495766^2 + 1366538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22350626 + ... + 22444974.

Almost surely, 22113210032200 is an apocalyptic number.

2113210032200 is a gapful number since it is divisible by the number (20) 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 2113210032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504168824500).

2113210032200 is an abundant number, since it is smaller than the sum of its proper divisors (2895127616800).

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

2113210032200 is a wasteful number, since it uses less digits than its factorization.

2113210032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96531 (or 96522 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2113210032200 its reverse (22300123112), we get a palindrome (2135510155312).

The spelling of 2113210032200 in words is "two trillion, one hundred thirteen billion, two hundred ten million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2113 2120 2650 4226 5300 8452 10565 10600 16904 21130 42260 52825 84520 94349 105650 111989 188698 211300 223978 377396 422600 447956 471745 559945 754792 895912 943490 1119890 1886980 2239780 2358725 2799725 3773960 4479560 4717450 5000497 5599450 9434900 10000994 11198900 18869800 20001988 22397800 25002485 40003976 50004970 100009940 125012425 199359437 200019880 250024850 398718874 500049700 797437748 996797185 1000099400 1594875496 1993594370 3987188740 4983985925 7974377480 9967971850 10566050161 19935943700 21132100322 39871887400 42264200644 52830250805 84528401288 105660501610 211321003220 264151254025 422642006440 528302508050 1056605016100 2113210032200