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20013212103000 = 2335319139348559
BaseRepresentation
bin1001000110011101100000…
…11001011111000101011000
32121212020121011100212201220
410203032300121133011120
510110344024244244000
6110321535343212040
74133623024032414
oct443166031370530
977766534325656
1020013212103000
116416612541626
1222b28402a7020
13b223125b986c
144d2904c39d44
1524a8c9c331a0
hex1233b065f158

20013212103000 has 128 divisors (see below), whose sum is σ = 62444663424000. Its totient is φ = 5336562403200.

The previous prime is 20013212102893. The next prime is 20013212103007. The reversal of 20013212103000 is 30121231002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013212103007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57242721 + ... + 57591279.

It is an arithmetic number, because the mean of its divisors is an integer number (487848933000).

Almost surely, 220013212103000 is an apocalyptic number.

20013212103000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013212103000 is an abundant number, since it is smaller than the sum of its proper divisors (42431451321000).

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

20013212103000 is a wasteful number, since it uses less digits than its factorization.

20013212103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367722 (or 367708 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20013212103000 its reverse (30121231002), we get a palindrome (20043333334002).

The spelling of 20013212103000 in words is "twenty trillion, thirteen billion, two hundred twelve million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 19139 38278 57417 76556 95695 114834 153112 191390 229668 287085 348559 382780 459336 478475 574170 697118 765560 956950 1045677 1148340 1394236 1435425 1742795 1913900 2091354 2296680 2392375 2788472 2870850 3485590 3827800 4182708 4784750 5228385 5741700 6971180 7177125 8365416 8713975 9569500 10456770 11483400 13942360 14354250 17427950 19139000 20913540 26141925 28708500 34855900 41827080 43569875 52283850 57417000 69711800 87139750 104567700 130709625 174279500 209135400 261419250 348559000 522838500 1045677000 6671070701 13342141402 20013212103 26684282804 33355353505 40026424206 53368565608 66710707010 80052848412 100066060515 133421414020 160105696824 166776767525 200132121030 266842828040 333553535050 400264242060 500330302575 667107070100 800528484120 833883837625 1000660605150 1334214140200 1667767675250 2001321210300 2501651512875 3335535350500 4002642420600 5003303025750 6671070701000 10006606051500 20013212103000