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2001000001020 = 2235379610114423
BaseRepresentation
bin11101000111100100111…
…001001110110111111100
321002021221010112011110220
4131013210321032313330
5230241022000013040
64131125142301340
7264365434241646
oct35074471166774
97067833464426
102001000001020
1170168a375409
12283982a27850
131169027a1b57
146cbc55db896
15370b5bae2d0
hex1d1e4e4edfc

2001000001020 has 96 divisors (see below), whose sum is σ = 5618893432320. Its totient is φ = 532067961600.

The previous prime is 2001000000977. The next prime is 2001000001027. The reversal of 2001000001020 is 201000001002.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001000001027) 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, 138729529 + ... + 138743951.

It is an arithmetic number, because the mean of its divisors is an integer number (58530139920).

Almost surely, 22001000001020 is an apocalyptic number.

2001000001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001000001020 is an abundant number, since it is smaller than the sum of its proper divisors (3617893431300).

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

2001000001020 is a wasteful number, since it uses less digits than its factorization.

2001000001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20915 (or 20913 counting only the distinct ones).

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

Adding to 2001000001020 its reverse (201000001002), we get a palindrome (2202000002022).

The spelling of 2001000001020 in words is "two trillion, one billion, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 379 758 1137 1516 1895 2274 3790 4548 5685 6101 7580 11370 12202 14423 18303 22740 24404 28846 30505 36606 43269 57692 61010 72115 73212 86538 91515 122020 144230 173076 183030 216345 288460 366060 432690 865380 2312279 4624558 5466317 6936837 9249116 10932634 11561395 13873674 16398951 21865268 23122790 27331585 27747348 32797902 34684185 46245580 54663170 65595804 69368370 81994755 87994723 109326340 138736740 163989510 175989446 263984169 327979020 351978892 439973615 527968338 879947230 1055936676 1319920845 1759894460 2639841690 5279683380 33350000017 66700000034 100050000051 133400000068 166750000085 200100000102 333500000170 400200000204 500250000255 667000000340 1000500000510 2001000001020