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2001000323130 = 2354114927140289
BaseRepresentation
bin11101000111100100111…
…010011101100000111010
321002021221011010112022220
4131013210322131200322
5230241022040320010
64131125153224510
7264365440053024
oct35074472354072
97067834115286
102001000323130
1170168a575416
12283982b62136
13116902885653
146cbc5683014
15370b5c24970
hex1d1e4e9d83a

2001000323130 has 128 divisors (see below), whose sum is σ = 4970947968000. Its totient is φ = 515170713600.

The previous prime is 2001000323123. The next prime is 2001000323141. The reversal of 2001000323130 is 313230001002.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49646026 + ... + 49686314.

It is an arithmetic number, because the mean of its divisors is an integer number (38835531000).

Almost surely, 22001000323130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001000323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485473984000).

2001000323130 is an abundant number, since it is smaller than the sum of its proper divisors (2969947644870).

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

2001000323130 is a wasteful number, since it uses less digits than its factorization.

2001000323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40760.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2001000323130 its reverse (313230001002), we get a palindrome (2314230324132).

The spelling of 2001000323130 in words is "two trillion, one billion, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 149 205 246 271 298 410 447 542 615 745 813 894 1230 1355 1490 1626 2235 2710 4065 4470 6109 8130 11111 12218 18327 22222 30545 33333 36654 40289 40379 55555 61090 66666 80578 80758 91635 111110 120867 121137 166665 183270 201445 201895 241734 242274 333330 402890 403790 604335 605685 1208670 1211370 1651849 1655539 3303698 3311078 4955547 4966617 6003061 8259245 8277695 9911094 9933234 10918319 12006122 16518490 16555390 18009183 21836638 24777735 24833085 30015305 32754957 36018366 49555470 49666170 54591595 60030610 65509914 90045915 109183190 163774785 180091830 246125501 327549570 447651079 492251002 738376503 895302158 1230627505 1342953237 1476753006 1626829531 2238255395 2461255010 2685906474 3253659062 3691882515 4476510790 4880488593 6714766185 7383765030 8134147655 9760977186 13429532370 16268295310 24402442965 48804885930 66700010771 133400021542 200100032313 333500053855 400200064626 667000107710 1000500161565 2001000323130