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312232312132020 = 2232574730637172093
BaseRepresentation
bin100011011111110010100000…
…0000011010101000110110100
31111221112010011200021202101100
41012333211000003111012310
5311411103233401211040
63024021313301330100
7122524016523156120
oct10677450003250664
91457463150252340
10312232312132020
1190539a86356565
122b028869706930
131052b4c450abc7
1457161a5a4a580
152616d2b7e8b30
hex11bf9400d51b4

312232312132020 has 288 divisors, whose sum is σ = 1105477755153408. Its totient is φ = 69846244862976.

The previous prime is 312232312132007. The next prime is 312232312132031. The reversal of 312232312132020 is 20231213232213.

312232312132020 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 3 + 2 + 312 + 1 + 320 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1814237094 + ... + 1814409186.

It is an arithmetic number, because the mean of its divisors is an integer number (3838464427616).

Almost surely, 2312232312132020 is an apocalyptic number.

312232312132020 is a gapful number since it is divisible by the number (30) 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 312232312132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552738877576704).

312232312132020 is an abundant number, since it is smaller than the sum of its proper divisors (793245443021388).

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

312232312132020 is a wasteful number, since it uses less digits than its factorization.

312232312132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202799 (or 202794 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312232312132020 its reverse (20231213232213), we get a palindrome (332463525364233).

The spelling of 312232312132020 in words is "three hundred twelve trillion, two hundred thirty-two billion, three hundred twelve million, one hundred thirty-two thousand, twenty".