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21113014321100 = 225213311134636249
BaseRepresentation
bin1001100110011110000011…
…01101111111111111001100
32202202101101021021021201002
410303033001231333333030
510231403423131233400
6112523103533435432
74306236114451352
oct463170155777714
982671337237632
1021113014321100
1167aaa851950a9
12244ba1593bb78
13ba1c44406310
1452dc37d3b7d2
152692e8166ed5
hex1333c1b7ffcc

21113014321100 has 144 divisors (see below), whose sum is σ = 51381815520000. Its totient is φ = 7477340774400.

The previous prime is 21113014321099. The next prime is 21113014321103. The reversal of 21113014321100 is 112341031112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21113014321103) 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, 2235776 + ... + 6872024.

Almost surely, 221113014321100 is an apocalyptic number.

21113014321100 is a gapful number since it is divisible by the number (20) 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 21113014321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25690907760000).

21113014321100 is an abundant number, since it is smaller than the sum of its proper divisors (30268801198900).

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

21113014321100 is a wasteful number, since it uses less digits than its factorization.

21113014321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636420 (or 4636413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21113014321100 its reverse (112341031112), we get a palindrome (21225355352212).

The spelling of 21113014321100 in words is "twenty-one trillion, one hundred thirteen billion, fourteen million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 113 124 130 155 226 260 310 325 403 452 565 620 650 775 806 1130 1300 1469 1550 1612 2015 2260 2825 2938 3100 3503 4030 5650 5876 7006 7345 8060 10075 11300 14012 14690 17515 20150 29380 35030 36725 40300 45539 70060 73450 87575 91078 146900 175150 182156 227695 350300 455390 910780 1138475 2276950 4553900 4636249 9272498 18544996 23181245 46362490 60271237 92724980 115906225 120542474 143723719 231812450 241084948 287447438 301356185 463624900 523896137 574894876 602712370 718618595 1047792274 1205424740 1437237190 1506780925 1868408347 2095584548 2619480685 2874474380 3013561850 3593092975 3736816694 5238961370 6027123700 6810649781 7186185950 7473633388 9342041735 10477922740 13097403425 13621299562 14372371900 16240780247 18684083470 26194806850 27242599124 32481560494 34053248905 37368166940 46710208675 52389613700 64963120988 68106497810 81203901235 93420417350 136212995620 162407802470 170266244525 186840834700 211130143211 324815604940 340532489050 406019506175 422260286422 681064978100 812039012350 844520572844 1055650716055 1624078024700 2111301432110 4222602864220 5278253580275 10556507160550 21113014321100