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3141022032300 = 22352173111980343
BaseRepresentation
bin101101101101010011100…
…000001010000110101100
3102010021112020002202221110
4231231103200022012230
5402430303120013200
610402544323032020
7442634311516305
oct55552340120654
912107466082843
103141022032300
111001111061909
12428901b0b610
1319a274074529
14ac0521697ac
1556a8a049b50
hex2db5380a1ac

3141022032300 has 144 divisors (see below), whose sum is σ = 9653559132672. Its totient is φ = 785799705600.

The previous prime is 3141022032271. The next prime is 3141022032331. The reversal of 3141022032300 is 32302201413.

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 47 ways as a sum of consecutive naturals, for example, 595929 + ... + 2576271.

It is an arithmetic number, because the mean of its divisors is an integer number (67038605088).

Almost surely, 23141022032300 is an apocalyptic number.

3141022032300 is a gapful number since it is divisible by the number (30) 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 3141022032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826779566336).

3141022032300 is an abundant number, since it is smaller than the sum of its proper divisors (6512537100372).

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

3141022032300 is a wasteful number, since it uses less digits than its factorization.

3141022032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980688 (or 1980681 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3141022032300 its reverse (32302201413), we get a palindrome (3173324233713).

The spelling of 3141022032300 in words is "three trillion, one hundred forty-one billion, twenty-two million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 311 340 425 510 622 850 933 1020 1244 1275 1555 1700 1866 2550 3110 3732 4665 5100 5287 6220 7775 9330 10574 15550 15861 18660 21148 23325 26435 31100 31722 46650 52870 63444 79305 93300 105740 132175 158610 264350 317220 396525 528700 793050 1586100 1980343 3960686 5941029 7921372 9901715 11882058 19803430 23764116 29705145 33665831 39606860 49508575 59410290 67331662 99017150 100997493 118820580 134663324 148525725 168329155 198034300 201994986 297051450 336658310 403989972 504987465 594102900 615886673 673316620 841645775 1009974930 1231773346 1683291550 1847660019 2019949860 2463546692 2524937325 3079433365 3366583100 3695320038 5049874650 6158866730 7390640076 9238300095 10099749300 10470073441 12317733460 15397166825 18476600190 20940146882 30794333650 31410220323 36953200380 41880293764 46191500475 52350367205 61588667300 62820440646 92383000950 104700734410 125640881292 157051101615 184766001900 209401468820 261751836025 314102203230 523503672050 628204406460 785255508075 1047007344100 1570511016150 3141022032300