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21300211031100 = 223521627175924809
BaseRepresentation
bin1001101011111010101111…
…00000110001110000111100
32210102021120022220110010120
410311331113200301300330
510242440313010443400
6113145103140534540
74325614041313311
oct465752740616074
983367508813116
1021300211031100
116872406916aa1
1224801596b1450
13bb67a8028441
14538d1585ad08
1526e102593ca0
hex135f57831c3c

21300211031100 has 144 divisors (see below), whose sum is σ = 61704034022400. Its totient is φ = 5673109317120.

The previous prime is 21300211031083. The next prime is 21300211031107. The reversal of 21300211031100 is 113011200312.

It is a happy number.

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 21300211031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300211031107) 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, 858555496 + ... + 858580304.

Almost surely, 221300211031100 is an apocalyptic number.

21300211031100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300211031100 is an abundant number, since it is smaller than the sum of its proper divisors (40403822991300).

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

21300211031100 is a wasteful number, since it uses less digits than its factorization.

21300211031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28212 (or 28205 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21300211031100 its reverse (113011200312), we get a palindrome (21413222231412).

The spelling of 21300211031100 in words is "twenty-one trillion, three hundred billion, two hundred eleven million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1627 1759 3254 3518 4881 5277 6508 7036 8135 8795 9762 10554 16270 17590 19524 21108 24405 24809 26385 32540 35180 40675 43975 48810 49618 52770 74427 81350 87950 97620 99236 105540 122025 124045 131925 148854 162700 175900 244050 248090 263850 297708 372135 488100 496180 527700 620225 744270 1240450 1488540 1860675 2480900 2861893 3721350 5723786 7442700 8585679 11447572 14309465 17171358 28618930 34342716 40364243 42928395 43639031 57237860 71547325 80728486 85856790 87278062 121092729 130917093 143094650 161456972 171713580 174556124 201821215 214641975 218195155 242185458 261834186 286189300 403642430 429283950 436390310 484370916 523668372 605463645 654585465 807284860 858567900 872780620 1009106075 1090975775 1210927290 1309170930 2018212150 2181951550 2421854580 2618341860 3027318225 3272927325 4036424300 4363903100 6054636450 6545854650 12109272900 13091709300 71000703437 142001406874 213002110311 284002813748 355003517185 426004220622 710007034370 852008441244 1065010551555 1420014068740 1775017585925 2130021103110 3550035171850 4260042206220 5325052757775 7100070343700 10650105515550 21300211031100