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20020010001000 = 2335326924807943
BaseRepresentation
bin1001000110101010001011…
…00101011010001001101000
32121212220010220210212200220
410203111011211122021220
510111001440030013000
6110325022101530040
74134253340151132
oct443250545321150
977786126725626
1020020010001000
1164194907a7a49
1222b4018a13920
13b22b56a80809
144d2d8b9c8052
1524ab7692a1a0
hex12354595a268

20020010001000 has 128 divisors (see below), whose sum is σ = 62694636076800. Its totient is φ = 5318822764800.

The previous prime is 20020010000987. The next prime is 20020010001011. The reversal of 20020010001000 is 10001002002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 20020010001000.

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 31 ways as a sum of consecutive naturals, for example, 11596972 + ... + 13210971.

It is an arithmetic number, because the mean of its divisors is an integer number (489801844350).

Almost surely, 220020010001000 is an apocalyptic number.

20020010001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020010001000 is an abundant number, since it is smaller than the sum of its proper divisors (42674626075800).

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

20020010001000 is a wasteful number, since it uses less digits than its factorization.

20020010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24808236 (or 24808222 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20020010001000 its reverse (10001002002), we get a palindrome (20030011003002).

The spelling of 20020010001000 in words is "twenty trillion, twenty billion, ten million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 269 300 375 500 538 600 750 807 1000 1076 1345 1500 1614 2152 2690 3000 3228 4035 5380 6456 6725 8070 10760 13450 16140 20175 26900 32280 33625 40350 53800 67250 80700 100875 134500 161400 201750 269000 403500 807000 24807943 49615886 74423829 99231772 124039715 148847658 198463544 248079430 297695316 372119145 496158860 595390632 620198575 744238290 992317720 1240397150 1488476580 1860595725 2480794300 2976953160 3100992875 3721191450 4961588600 6201985750 6673336667 7442382900 9302978625 12403971500 13346673334 14884765800 18605957250 20020010001 24807943000 26693346668 33366683335 37211914500 40040020002 53386693336 66733366670 74423829000 80080040004 100100050005 133466733340 160160080008 166833416675 200200100010 266933466680 333666833350 400400200020 500500250025 667333666700 800800400040 834167083375 1001000500050 1334667333400 1668334166750 2002001000100 2502501250125 3336668333500 4004002000200 5005002500250 6673336667000 10010005000500 20020010001000