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312201021300 = 223527197824587
BaseRepresentation
bin1001000101100001010…
…00011000011101110100
31002211211211022010110220
410202300220120131310
520103341430140200
6355231223214340
731361426616120
oct4426050303564
91084754263426
10312201021300
11110449379183
125060b5a73b0
132359581753c
141117972a580
1581c38db4a0
hex48b0a18774

312201021300 has 144 divisors (see below), whose sum is σ = 1086678781440. Its totient is φ = 67604423040.

The previous prime is 312201021299. The next prime is 312201021329. The reversal of 312201021300 is 3120102213.

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 312201021300.

It is a congruent number.

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, 3872394 + ... + 3952193.

Almost surely, 2312201021300 is an apocalyptic number.

312201021300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312201021300 is an abundant number, since it is smaller than the sum of its proper divisors (774477760140).

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

312201021300 is a wasteful number, since it uses less digits than its factorization.

312201021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824630 (or 7824623 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312201021300 its reverse (3120102213), we get a palindrome (315321123513).

The spelling of 312201021300 in words is "three hundred twelve billion, two hundred one million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 7824587 15649174 23473761 31298348 39122935 46947522 54772109 78245870 93895044 109544218 117368805 148667153 156491740 164316327 195614675 219088436 234737610 273860545 297334306 328632654 391229350 446001459 469475220 547721090 586844025 594668612 657265308 743335765 782458700 821581635 892002918 1040670071 1095442180 1173688050 1369302725 1486671530 1643163270 1784005836 2081340142 2230007295 2347376100 2738605450 2973343060 3122010213 3286326540 3716678825 4107908175 4162680284 4460014590 5203350355 5477210900 6244020426 7433357650 8215816350 8920029180 10406700710 11150036475 12488040852 14866715300 15610051065 16431632700 20813401420 22300072950 26016751775 31220102130 44600145900 52033503550 62440204260 78050255325 104067007100 156100510650 312201021300