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312001023221031 = 317291032048097463
BaseRepresentation
bin100011011110000110110011…
…0001010001001110100100111
31111220201000011202101201000210
41012330031212022021310213
5311343311043421033111
63023323142533310503
7122501221131646224
oct10674154612116447
91456630152351023
10312001023221031
119045a988838441
122ababa7b495433
1310512754aa2121
145708d0428894b
152610ce14eb0a6
hex11bc366289d27

312001023221031 has 32 divisors (see below), whose sum is σ = 460084614312960. Its totient is φ = 187179723247104.

The previous prime is 312001023221003. The next prime is 312001023221101. The reversal of 312001023221031 is 130122320100213.

It is not a de Polignac number, because 312001023221031 - 218 = 312001022958887 is a prime.

It is a super-2 number, since 2×3120010232210312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312001023220989 and 312001023221007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001023221131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023896395 + ... + 1024201068.

It is an arithmetic number, because the mean of its divisors is an integer number (14377644197280).

Almost surely, 2312001023221031 is an apocalyptic number.

312001023221031 is a deficient number, since it is larger than the sum of its proper divisors (148083591091929).

312001023221031 is a wasteful number, since it uses less digits than its factorization.

312001023221031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048097615.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312001023221031 its reverse (130122320100213), we get a palindrome (442123343321244).

The spelling of 312001023221031 in words is "three hundred twelve trillion, one billion, twenty-three million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 3 17 29 51 87 103 309 493 1479 1751 2987 5253 8961 50779 152337 2048097463 6144292389 34817656871 59394826427 104452970613 178184479281 210954038689 632862116067 1009712049259 3029136147777 3586218657713 6117667121981 10758655973139 18353001365943 104000341073677 312001023221031