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331312221001300 = 2252711257167422417
BaseRepresentation
bin100101101010100111010001…
…1001111100001011001010100
31121110002010202022221222201011
41023111032203033201121110
5321411204412034020200
63132350422205342004
7126533342456511250
oct11325164317413124
91543063668858634
10331312221001300
11966257a6510940
12311aa640567904
13112b37ba8013c6
145bb5850477260
1528482d03d55ba
hex12d53a33e1654

331312221001300 has 144 divisors (see below), whose sum is σ = 899837903438208. Its totient is φ = 102864332390400.

The previous prime is 331312221001253. The next prime is 331312221001327. The reversal of 331312221001300 is 3100122213133.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 81732309 + ... + 85690108.

It is an arithmetic number, because the mean of its divisors is an integer number (6248874329432).

Almost surely, 2331312221001300 is an apocalyptic number.

It is an amenable number.

331312221001300 is an abundant number, since it is smaller than the sum of its proper divisors (568525682436908).

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

331312221001300 is a wasteful number, since it uses less digits than its factorization.

331312221001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167422706 (or 167422699 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 331312221001300 its reverse (3100122213133), we get a palindrome (334412343214433).

The spelling of 331312221001300 in words is "three hundred thirty-one trillion, three hundred twelve billion, two hundred twenty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 257 275 308 350 385 514 550 700 770 1028 1100 1285 1540 1799 1925 2570 2827 3598 3850 5140 5654 6425 7196 7700 8995 11308 12850 14135 17990 19789 25700 28270 35980 39578 44975 56540 70675 79156 89950 98945 141350 179900 197890 282700 395780 494725 989450 1978900 167422417 334844834 669689668 837112085 1171956919 1674224170 1841646587 2343913838 3348448340 3683293174 4185560425 4687827676 5859784595 7366586348 8371120850 9208232935 11719569190 12891526109 16742241700 18416465870 23439138380 25783052218 29298922975 36832931740 43027561169 46041164675 51566104436 58597845950 64457630545 86055122338 92082329350 117195691900 128915261090 172110244676 184164658700 215137805845 257830522180 301192928183 322288152725 430275611690 473303172859 602385856366 644576305450 860551223380 946606345718 1075689029225 1204771712732 1289152610900 1505964640915 1893212691436 2151378058450 2366515864295 3011929281830 3313122210013 4302756116900 4733031728590 6023858563660 6626244420026 7529823204575 9466063457180 11832579321475 13252488840052 15059646409150 16565611050065 23665158642950 30119292818300 33131222100130 47330317285900 66262444200260 82828055250325 165656110500650 331312221001300