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312303123021330 = 232574089591212149
BaseRepresentation
bin100011100000010011011110…
…0101101011011111000010010
31111221202212221121110122021100
41013000212330231123320102
5311413233243443140310
63024114024000405230
7122532104344614420
oct10700467455337022
91457685847418240
10312303123021330
1190567013246791
122b03a530016816
131053509a94b9cc
1457197a2224110
152618ac31d2ec0
hex11c09bcb5be12

312303123021330 has 96 divisors (see below), whose sum is σ = 927989457408000. Its totient is φ = 71383337536896.

The previous prime is 312303123021233. The next prime is 312303123021367. The reversal of 312303123021330 is 33120321303213.

312303123021330 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 0 + 312 + 302 + 13 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312303123021294 and 312303123021303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257038096 + ... + 258250244.

It is an arithmetic number, because the mean of its divisors is an integer number (9666556848000).

Almost surely, 2312303123021330 is an apocalyptic number.

312303123021330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312303123021330 is an abundant number, since it is smaller than the sum of its proper divisors (615686334386670).

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

312303123021330 is a wasteful number, since it uses less digits than its factorization.

312303123021330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621128 (or 1621125 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 312303123021330 its reverse (33120321303213), we get a palindrome (345423444324543).

The spelling of 312303123021330 in words is "three hundred twelve trillion, three hundred three billion, one hundred twenty-three million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 408959 817918 1212149 1226877 2044795 2424298 2453754 2862713 3636447 3680631 4089590 5725426 6060745 6134385 7272894 7361262 8485043 8588139 10909341 12121490 12268770 14313565 16970086 17176278 18182235 18403155 21818682 25455129 25764417 28627130 36364470 36806310 42425215 42940695 50910258 51528834 54546705 76365387 84850430 85881390 109093410 127275645 128822085 152730774 254551290 257644170 381826935 763653870 495719242891 991438485782 1487157728673 2478596214455 2974315457346 3470034700237 4461473186019 4957192428910 6940069400474 7435788643365 8922946372038 10410104100711 14871577286730 17350173501185 20820208201422 22307365930095 31230312302133 34700347002370 44614731860190 52050520503555 62460624604266 104101041007110 156151561510665 312303123021330