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312300133320 = 233572831313731
BaseRepresentation
bin1001000101101101000…
…10011101101111001000
31002212002201210112121110
410202312202131233020
520104042313231240
6355245123410320
731364042222340
oct4426642355710
91085081715543
10312300133320
1111049a31353a
12506388239a0
13235b0209ac6
1411188969d20
1581cc467c80
hex48b689dbc8

312300133320 has 128 divisors (see below), whose sum is σ = 1074527677440. Its totient is φ = 71130597120.

The previous prime is 312300133297. The next prime is 312300133331. The reversal of 312300133320 is 23331003213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419146 + ... + 894585.

It is an arithmetic number, because the mean of its divisors is an integer number (8394747480).

Almost surely, 2312300133320 is an apocalyptic number.

312300133320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312300133320 is an abundant number, since it is smaller than the sum of its proper divisors (762227544120).

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

312300133320 is a wasteful number, since it uses less digits than its factorization.

312300133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314035 (or 1314031 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 312300133320 its reverse (23331003213), we get a palindrome (335631136533).

The spelling of 312300133320 in words is "three hundred twelve billion, three hundred million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 283 420 566 840 849 1132 1415 1698 1981 2264 2830 3396 3962 4245 5660 5943 6792 7924 8490 9905 11320 11886 15848 16980 19810 23772 29715 33960 39620 47544 59430 79240 118860 237720 1313731 2627462 3941193 5254924 6568655 7882386 9196117 10509848 13137310 15764772 18392234 19705965 26274620 27588351 31529544 36784468 39411930 45980585 52549240 55176702 73568936 78823860 91961170 110353404 137941755 157647720 183922340 220706808 275883510 367844680 371785873 551767020 743571746 1103534040 1115357619 1487143492 1858929365 2230715238 2602501111 2974286984 3717858730 4461430476 5205002222 5576788095 7435717460 7807503333 8922860952 10410004444 11153576190 13012505555 14871434920 15615006666 20820008888 22307152380 26025011110 31230013332 39037516665 44614304760 52050022220 62460026664 78075033330 104100044440 156150066660 312300133320