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312021101230100 = 225217241761584333
BaseRepresentation
bin100011011110010000001001…
…0111001101011100000010100
31111220202221000000201020121022
41012330200102321223200110
5311344123203403330400
63023340303130540312
7122502531522134633
oct10674402271534024
91456687000636538
10312021101230100
11904684512a8869
122abb3943597698
1310514604690b72
145709c8aa7951a
1526115b9025b85
hex11bc812e6b814

312021101230100 has 72 divisors (see below), whose sum is σ = 719889114882168. Its totient is φ = 116979353395200.

The previous prime is 312021101230051. The next prime is 312021101230121. The reversal of 312021101230100 is 1032101120213.

It can be written as a sum of positive squares in 12 ways, for example, as 35671305722116 + 276349795507984 = 5972546^2 + 16623772^2 .

It is a super-2 number, since 2×3120211012301002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380382467 + ... + 381201866.

It is an arithmetic number, because the mean of its divisors is an integer number (9998459928919).

Almost surely, 2312021101230100 is an apocalyptic number.

It is an amenable number.

312021101230100 is an abundant number, since it is smaller than the sum of its proper divisors (407868013652068).

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

312021101230100 is a wasteful number, since it uses less digits than its factorization.

312021101230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761584605 (or 761584598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 312021101230100 its reverse (1032101120213), we get a palindrome (313053202350313).

The spelling of 312021101230100 in words is "three hundred twelve trillion, twenty-one billion, one hundred one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 241 340 425 482 850 964 1205 1700 2410 4097 4820 6025 8194 12050 16388 20485 24100 40970 81940 102425 204850 409700 761584333 1523168666 3046337332 3807921665 7615843330 12946933661 15231686660 19039608325 25893867322 38079216650 51787734644 64734668305 76158433300 129469336610 183541824253 258938673220 323673341525 367083648506 647346683050 734167297012 917709121265 1294693366100 1835418242530 3120211012301 3670836485060 4588545606325 6240422024602 9177091212650 12480844049204 15601055061505 18354182425300 31202110123010 62404220246020 78005275307525 156010550615050 312021101230100