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312021213012 = 223271122074027
BaseRepresentation
bin1001000101001011110…
…10011101111101010100
31002211101021221220212200
410202211322131331110
520103004412304022
6355201321244500
731354114356525
oct4424572357524
91084337856780
10312021213012
11110366927593
125057b333730
13235674ac9c2
141115d8c284c
1581b2c1ebac
hex48a5e9df54

312021213012 has 36 divisors (see below), whose sum is σ = 799829031456. Its totient is φ = 102542181840.

The previous prime is 312021212969. The next prime is 312021213019. The reversal of 312021213012 is 210312120213.

312021213012 is a `hidden beast` number, since 312 + 0 + 212 + 130 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3120212130122 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312021213019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61034458 + ... + 61039569.

It is an arithmetic number, because the mean of its divisors is an integer number (22217473096).

Almost surely, 2312021213012 is an apocalyptic number.

It is an amenable number.

312021213012 is an abundant number, since it is smaller than the sum of its proper divisors (487807818444).

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

312021213012 is a wasteful number, since it uses less digits than its factorization.

312021213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122074108 (or 122074103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312021213012 its reverse (210312120213), we get a palindrome (522333333225).

The spelling of 312021213012 in words is "three hundred twelve billion, twenty-one million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 122074027 244148054 366222081 488296108 732444162 1098666243 1464888324 2197332486 4394664972 8667255917 17334511834 26001767751 34669023668 52003535502 78005303253 104007071004 156010606506 312021213012