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312001230311104 = 26172973313490419
BaseRepresentation
bin100011011110000110111001…
…0100000001000111011000000
31111220201000201012001222012111
41012330031302200020323000
5311343312004424423404
63023323215252105104
7122501226225123325
oct10674156240107300
91456630635058174
10312001230311104
119045aa84723264
122ababb18905194
131051278896c629
145708d23994b4c
152610d047a6104
hex11bc372808ec0

312001230311104 has 112 divisors (see below), whose sum is σ = 679076984642400. Its totient is φ = 141567798951936.

The previous prime is 312001230311101. The next prime is 312001230311119. The reversal of 312001230311104 is 401113032100213.

It is a super-2 number, since 2×3120012303111042 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312001230311101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16382407 + ... + 29872825.

Almost surely, 2312001230311104 is an apocalyptic number.

312001230311104 is a gapful number since it is divisible by the number (34) 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 312001230311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339538492321200).

312001230311104 is an abundant number, since it is smaller than the sum of its proper divisors (367075754331296).

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

312001230311104 is a wasteful number, since it uses less digits than its factorization.

312001230311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13491210 (or 13491200 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 312001230311104 its reverse (401113032100213), we get a palindrome (713114262411317).

The spelling of 312001230311104 in words is "three hundred twelve trillion, one billion, two hundred thirty million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 733 928 986 1088 1466 1856 1972 2932 3944 5864 7888 11728 12461 15776 21257 23456 24922 31552 42514 46912 49844 85028 99688 170056 199376 340112 361369 398752 680224 722738 797504 1360448 1445476 2890952 5781904 11563808 13490419 23127616 26980838 53961676 107923352 215846704 229337123 391222151 431693408 458674246 782444302 863386816 917348492 1564888604 1834696984 3129777208 3669393968 6259554416 6650776567 7338787936 9888477127 12519108832 13301553134 14677575872 19776954254 25038217664 26603106268 39553908508 53206212536 79107817016 106412425072 158215634032 168104111159 212824850144 286765836683 316431268064 336208222318 425649700288 573531673366 632862536128 672416444636 1147063346732 1344832889272 2294126693464 2689665778544 4588253386928 4875019223611 5379331557088 9176506773856 9750038447222 10758663114176 18353013547712 19500076894444 39000153788888 78000307577776 156000615155552 312001230311104