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312111021300 = 223521380028467
BaseRepresentation
bin1001000101010110100…
…01000011110011110100
31002211121112221122200120
410202223101003303310
520103200410140200
6355214250211540
731356254623341
oct4425321036364
91084545848616
10312111021300
11110402597911
12505a5423bb0
132357cc955c0
141116b7bd7c8
1581baa5e9a0
hex48ab443cf4

312111021300 has 72 divisors (see below), whose sum is σ = 972505943136. Its totient is φ = 76827327360.

The previous prime is 312111021293. The next prime is 312111021329. The reversal of 312111021300 is 3120111213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312111021300.

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, 40010334 + ... + 40018133.

It is an arithmetic number, because the mean of its divisors is an integer number (13507026988).

Almost surely, 2312111021300 is an apocalyptic number.

312111021300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312111021300 is an abundant number, since it is smaller than the sum of its proper divisors (660394921836).

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

312111021300 is a wasteful number, since it uses less digits than its factorization.

312111021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80028497 (or 80028490 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 312111021300 its reverse (3120111213), we get a palindrome (315231132513).

The spelling of 312111021300 in words is "three hundred twelve billion, one hundred eleven million, twenty-one thousand, three 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 80028467 160056934 240085401 320113868 400142335 480170802 800284670 960341604 1040370071 1200427005 1600569340 2000711675 2080740142 2400854010 3121110213 4001423350 4161480284 4801708020 5201850355 6002135025 6242220426 8002846700 10403700710 12004270050 12484440852 15605551065 20807401420 24008540100 26009251775 31211102130 52018503550 62422204260 78027755325 104037007100 156055510650 312111021300