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102212331200300 = 225210310139796177
BaseRepresentation
bin10111001111011000101001…
…101100010101111100101100
3111101220101220002202221111102
4113033120221230111330230
5101344121323241402200
61001215410254142232
730346411565105516
oct2717305154257454
9441811802687442
10102212331200300
112a628008324492
12b569526ab1978
1345057736641b9
141b35163376bb6
15bc3b9d5b56d5
hex5cf629b15f2c

102212331200300 has 72 divisors (see below), whose sum is σ = 224175267135456. Its totient is φ = 40448018856960.

The previous prime is 102212331200263. The next prime is 102212331200347. The reversal of 102212331200300 is 3002133212201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5535812 + ... + 15331988.

Almost surely, 2102212331200300 is an apocalyptic number.

102212331200300 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 102212331200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112087633567728).

102212331200300 is an abundant number, since it is smaller than the sum of its proper divisors (121962935935156).

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

102212331200300 is a wasteful number, since it uses less digits than its factorization.

102212331200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9797307 (or 9797300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102212331200300 its reverse (3002133212201), we get a palindrome (105214464412501).

The spelling of 102212331200300 in words is "one hundred two trillion, two hundred twelve billion, three hundred thirty-one million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1013 1030 2026 2060 2575 4052 5065 5150 10130 10300 20260 25325 50650 101300 104339 208678 417356 521695 1043390 2086780 2608475 5216950 9796177 10433900 19592354 39184708 48980885 97961770 195923540 244904425 489808850 979617700 1009006231 2018012462 4036024924 5045031155 9923527301 10090062310 19847054602 20180124620 25225155775 39694109204 49617636505 50450311550 99235273010 100900623100 198470546020 248088182525 496176365050 992352730100 1022123312003 2044246624006 4088493248012 5110616560015 10221233120030 20442466240060 25553082800075 51106165600150 102212331200300