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1312023300 = 2235271075839
BaseRepresentation
bin100111000110011…
…1110001100000100
310101102210200121120
41032030332030010
510141334221200
6334105113540
744341004550
oct11614761404
93342720546
101312023300
1161366a585
123074888b0
1317ba87763
14c6370860
157a2b79a0
hex4e33e304

1312023300 has 144 divisors (see below), whose sum is σ = 4379719680. Its totient is φ = 297037440.

The previous prime is 1312023289. The next prime is 1312023301. The reversal of 1312023300 is 33202131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312023300.

It is not an unprimeable number, because it can be changed into a prime (1312023301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221781 + ... + 227619.

It is an arithmetic number, because the mean of its divisors is an integer number (30414720).

Almost surely, 21312023300 is an apocalyptic number.

1312023300 is a gapful number since it is divisible by the number (10) 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 1312023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189859840).

1312023300 is an abundant number, since it is smaller than the sum of its proper divisors (3067696380).

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

1312023300 is a wasteful number, since it uses less digits than its factorization.

1312023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1312023300 is about 36221.8621829414. The cubic root of 1312023300 is about 1094.7472154750.

Adding to 1312023300 its reverse (33202131), we get a palindrome (1345225431).

The spelling of 1312023300 in words is "one billion, three hundred twelve million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 107 140 150 175 210 214 300 321 350 420 428 525 535 642 700 749 1050 1070 1284 1498 1605 2100 2140 2247 2675 2996 3210 3745 4494 5350 5839 6420 7490 8025 8988 10700 11235 11678 14980 16050 17517 18725 22470 23356 29195 32100 35034 37450 40873 44940 56175 58390 70068 74900 81746 87585 112350 116780 122619 145975 163492 175170 204365 224700 245238 291950 350340 408730 437925 490476 583900 613095 624773 817460 875850 1021825 1226190 1249546 1751700 1874319 2043650 2452380 2499092 3065475 3123865 3748638 4087300 4373411 6130950 6247730 7497276 8746822 9371595 12261900 12495460 13120233 15619325 17493644 18743190 21867055 26240466 31238650 37486380 43734110 46857975 52480932 62477300 65601165 87468220 93715950 109335275 131202330 187431900 218670550 262404660 328005825 437341100 656011650 1312023300