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20111012330100 = 223521725115710501
BaseRepresentation
bin1001001001010011101011…
…01111101111101001110100
32122012121001000202011212020
410210221311233233221310
510113444323124030400
6110434512125353140
74143654430166016
oct444516557575164
978177030664766
1020111012330100
11645403a19279a
1223097954087b0
13b2b5ca447123
144d7541a7c1b6
1524d200c982a0
hex124a75befa74

20111012330100 has 144 divisors (see below), whose sum is σ = 61856142578496. Its totient is φ = 5027360000000.

The previous prime is 20111012330093. The next prime is 20111012330147. The reversal of 20111012330100 is 103321011102.

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 20111012330100.

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, 6575151 + ... + 9135350.

It is an arithmetic number, because the mean of its divisors is an integer number (429556545684).

Almost surely, 220111012330100 is an apocalyptic number.

20111012330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111012330100 is an abundant number, since it is smaller than the sum of its proper divisors (41745130248396).

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

20111012330100 is a wasteful number, since it uses less digits than its factorization.

20111012330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15710786 (or 15710779 counting only the distinct ones).

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

Adding to 20111012330100 its reverse (103321011102), we get a palindrome (20214333341202).

The spelling of 20111012330100 in words is "twenty trillion, one hundred eleven billion, twelve million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 251 255 300 340 425 502 510 753 850 1004 1020 1255 1275 1506 1700 2510 2550 3012 3765 4267 5020 5100 6275 7530 8534 12550 12801 15060 17068 18825 21335 25100 25602 37650 42670 51204 64005 75300 85340 106675 128010 213350 256020 320025 426700 640050 1280100 15710501 31421002 47131503 62842004 78552505 94263006 157105010 188526012 235657515 267078517 314210020 392762525 471315030 534157034 785525050 801235551 942630060 1068314068 1178287575 1335392585 1571050100 1602471102 2356575150 2670785170 3204942204 3943335751 4006177755 4713150300 5341570340 6676962925 7886671502 8012355510 11830007253 13353925850 15773343004 16024711020 19716678755 20030888775 23660014506 26707851700 39433357510 40061777550 47320029012 59150036265 67036707767 78866715020 80123555100 98583393775 118300072530 134073415534 197166787550 201110123301 236600145060 268146831068 295750181325 335183538835 394333575100 402220246602 591500362650 670367077670 804440493204 1005550616505 1183000725300 1340734155340 1675917694175 2011101233010 3351835388350 4022202466020 5027753082525 6703670776700 10055506165050 20111012330100