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102324313212 = 22311101275991
BaseRepresentation
bin101111101001100000…
…0010001110001111100
3100210010011020200120020
41133103000101301330
53134030011010322
6115001313052140
710251456211602
oct1372300216174
9323104220506
10102324313212
113a439453010
12179b8257050
1398592182c4
144d49a1b872
1529dd31005c
hex17d3011c7c

102324313212 has 72 divisors (see below), whose sum is σ = 263069713536. Its totient is φ = 30699960000.

The previous prime is 102324313183. The next prime is 102324313291. The reversal of 102324313212 is 212313423201.

It is a congruent number.

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, 1308537 + ... + 1384527.

Almost surely, 2102324313212 is an apocalyptic number.

102324313212 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 102324313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131534856768).

102324313212 is an abundant number, since it is smaller than the sum of its proper divisors (160745400324).

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

102324313212 is a wasteful number, since it uses less digits than its factorization.

102324313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76211 (or 76108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102324313212 its reverse (212313423201), we get a palindrome (314637736413).

The spelling of 102324313212 in words is "one hundred two billion, three hundred twenty-four million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 10201 13332 20402 30603 40804 61206 75991 112211 122412 151982 224422 227973 303964 336633 448844 455946 673266 835901 911892 1346532 1671802 2507703 3343604 5015406 7675091 10030812 15350182 23025273 30700364 46050546 84426001 92101092 168852002 253278003 337704004 506556006 775184191 1013112012 1550368382 2325552573 3100736764 4651105146 8527026101 9302210292 17054052202 25581078303 34108104404 51162156606 102324313212