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312001441211031 = 311136182714416637
BaseRepresentation
bin100011011110000110111111…
…1000100101010001010010111
31111220201001020212220210111220
41012330031333010222022113
5311343312422422223111
63023323252224301423
7122501234365546035
oct10674157704521227
91456631225823456
10312001441211031
1190460082780520
122ababb77471873
13105127c0571ca0
145708d439b3555
152610d18064e06
hex11bc37f12a297

312001441211031 has 64 divisors (see below), whose sum is σ = 497342179063296. Its totient is φ = 171477235238400.

The previous prime is 312001441211011. The next prime is 312001441211039. The reversal of 312001441211031 is 130112144100213.

It is not a de Polignac number, because 312001441211031 - 215 = 312001441178263 is a prime.

It is a super-2 number, since 2×3120014412110312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312001441210992 and 312001441211010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001441211039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14433445 + ... + 28850081.

It is an arithmetic number, because the mean of its divisors is an integer number (7770971547864).

Almost surely, 2312001441211031 is an apocalyptic number.

312001441211031 is a deficient number, since it is larger than the sum of its proper divisors (185340737852265).

312001441211031 is a wasteful number, since it uses less digits than its factorization.

312001441211031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14417552.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 312001441211031 its reverse (130112144100213), we get a palindrome (442113585311244).

The spelling of 312001441211031 in words is "three hundred twelve trillion, one billion, four hundred forty-one million, two hundred eleven thousand, thirty-one".

Divisors: 1 3 11 13 33 39 61 143 183 429 671 793 827 2013 2379 2481 8723 9097 10751 26169 27291 32253 50447 118261 151341 354783 554917 655811 1664751 1967433 7213921 14416637 21641763 43249911 158583007 187416281 475749021 562248843 879414857 2061579091 2638244571 6184737273 9673563427 11432393141 11922558799 29020690281 34297179423 35767676397 125756324551 131148146789 154993264387 377268973653 393444440367 464979793161 727276086739 1704925908257 2181828260217 5114777724771 8000036954129 9454589127607 24000110862387 28363767382821 104000480403677 312001441211031