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102300212232 = 233210316384629
BaseRepresentation
bin101111101000110010…
…0010101110000001000
3100210001110220020020100
41133101210111300020
53134002323242412
6114555052325400
710251044312421
oct1372144256010
9323043806210
10102300212232
113a426891649
12179b0173860
13985422a37a
144d46746648
1529db14dedc
hex17d1915c08

102300212232 has 96 divisors (see below), whose sum is σ = 281472609600. Its totient is φ = 33561433728.

The previous prime is 102300212171. The next prime is 102300212251. The reversal of 102300212232 is 232212003201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1166494 + ... + 1251122.

It is an arithmetic number, because the mean of its divisors is an integer number (2932006350).

Almost surely, 2102300212232 is an apocalyptic number.

102300212232 is a gapful number since it is divisible by the number (12) 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 102300212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140736304800).

102300212232 is an abundant number, since it is smaller than the sum of its proper divisors (179172397368).

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

102300212232 is a wasteful number, since it uses less digits than its factorization.

102300212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84907 (or 84900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102300212232 its reverse (232212003201), we get a palindrome (334512215433).

The spelling of 102300212232 in words is "one hundred two billion, three hundred million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 163 206 309 326 412 489 618 652 824 927 978 1236 1304 1467 1854 1956 2472 2934 3708 3912 5868 7416 11736 16789 33578 50367 67156 84629 100734 134312 151101 169258 201468 253887 302202 338516 402936 507774 604404 677032 761661 1015548 1208808 1523322 2031096 3046644 6093288 8716787 13794527 17433574 26150361 27589054 34867148 41383581 52300722 55178108 69734296 78451083 82767162 104601444 110356216 124150743 156902166 165534324 209202888 248301486 313804332 331068648 496602972 627608664 993205944 1420836281 2841672562 4262508843 5683345124 8525017686 11366690248 12787526529 17050035372 25575053058 34100070744 51150106116 102300212232