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312420211113430 = 257191148320456537
BaseRepresentation
bin100011100001001001111111…
…1101101000011110111010110
31111222012002011200101000002001
41013002103333231003313112
5311422143043021112210
63024243510312505514
7122543421035152420
oct10702237755036726
91458162150330061
10312420211113430
1190601738439352
122b0591686ab29a
131054313a786244
14572130c935810
15261bb776e603a
hex11c24ffb43dd6

312420211113430 has 64 divisors (see below), whose sum is σ = 676577901288960. Its totient is φ = 101469000824064.

The previous prime is 312420211113407. The next prime is 312420211113473. The reversal of 312420211113430 is 34311112024213.

It is a super-3 number, since 3×3124202111134303 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5044122 + ... + 25500658.

It is an arithmetic number, because the mean of its divisors is an integer number (10571529707640).

Almost surely, 2312420211113430 is an apocalyptic number.

312420211113430 is an abundant number, since it is smaller than the sum of its proper divisors (364157690175530).

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

312420211113430 is a wasteful number, since it uses less digits than its factorization.

312420211113430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20468053.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 312420211113430 its reverse (34311112024213), we get a palindrome (346731323137643).

The spelling of 312420211113430 in words is "three hundred twelve trillion, four hundred twenty billion, two hundred eleven million, one hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 11483 22966 57415 80381 114830 160762 218177 401905 436354 803810 1090885 1527239 2181770 3054478 7636195 15272390 20456537 40913074 102282685 143195759 204565370 286391518 388674203 715978795 777348406 1431957590 1943371015 2720719421 3886742030 5441438842 13603597105 27207194210 234902414371 469804828742 1174512071855 1644316900597 2349024143710 3288633801194 4463145873049 8221584502985 8926291746098 16443169005970 22315729365245 31242021111343 44631458730490 62484042222686 156210105556715 312420211113430