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312201002100 = 223521380051539
BaseRepresentation
bin1001000101100001010…
…00010011110001110100
31002211211211021011010210
410202300220103301310
520103341424031400
6355231222545420
731361426506131
oct4426050236164
91084754234123
10312201002100
11110449365809
125060b598270
132359580b890
1411179723588
1581c38d5950
hex48b0a13c74

312201002100 has 72 divisors (see below), whose sum is σ = 972786314080. Its totient is φ = 76849476480.

The previous prime is 312201002081. The next prime is 312201002119. The reversal of 312201002100 is 1200102213.

It is an interprime number because it is at equal distance from previous prime (312201002081) and next prime (312201002119).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 40021870 + ... + 40029669.

Almost surely, 2312201002100 is an apocalyptic number.

312201002100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312201002100 is an abundant number, since it is smaller than the sum of its proper divisors (660585311980).

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

312201002100 is a wasteful number, since it uses less digits than its factorization.

312201002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80051569 (or 80051562 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312201002100 its reverse (1200102213), we get a palindrome (313401104313).

The spelling of 312201002100 in words is "three hundred twelve billion, two hundred one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 80051539 160103078 240154617 320206156 400257695 480309234 800515390 960618468 1040670007 1200773085 1601030780 2001288475 2081340014 2401546170 3122010021 4002576950 4162680028 4803092340 5203350035 6003865425 6244020042 8005153900 10406700070 12007730850 12488040084 15610050105 20813400140 24015461700 26016750175 31220100210 52033500350 62440200420 78050250525 104067000700 156100501050 312201002100