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312001211120 = 2453900015139
BaseRepresentation
bin1001000101001001011…
…10001010101011110000
31002211022220022201102212
410202210232022223300
520102434302223440
6355155324431252
731353452352134
oct4424456125360
91084286281385
10312001211120
111103566058a5
12505746a8528
13235632c8771
141115ad973c4
1581b10bd465
hex48a4b8aaf0

312001211120 has 20 divisors (see below), whose sum is σ = 725402816040. Its totient is φ = 124800484416.

The previous prime is 312001211069. The next prime is 312001211141. The reversal of 312001211120 is 21112100213.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 312001211095 and 312001211104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1950007490 + ... + 1950007649.

It is an arithmetic number, because the mean of its divisors is an integer number (36270140802).

Almost surely, 2312001211120 is an apocalyptic number.

It is an amenable number.

312001211120 is an abundant number, since it is smaller than the sum of its proper divisors (413401604920).

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

312001211120 is a wasteful number, since it uses less digits than its factorization.

312001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900015152 (or 3900015146 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 312001211120 its reverse (21112100213), we get a palindrome (333113311333).

The spelling of 312001211120 in words is "three hundred twelve billion, one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3900015139 7800030278 15600060556 19500075695 31200121112 39000151390 62400242224 78000302780 156000605560 312001211120