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2000023130310 = 23517157136118353
BaseRepresentation
bin11101000110101010101…
…010110001000011000110
321002012102001100222210020
4131012222222301003012
5230232021410132220
64130444204440010
7264332303052252
oct35065252610306
97065361328706
102000023130310
11701228a09a47
1228374b849006
131167a82a254a
146cb31991262
153705a04b040
hex1d1aaab10c6

2000023130310 has 128 divisors (see below), whose sum is σ = 5118820769664. Its totient is φ = 498375720960.

The previous prime is 2000023130309. The next prime is 2000023130381. The reversal of 2000023130310 is 130313200002.

It is a super-2 number, since 2×20000231303102 (a number of 25 digits) contains 22 as substring.

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 2000023130310.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 108966094 + ... + 108984446.

It is an arithmetic number, because the mean of its divisors is an integer number (39990787263).

Almost surely, 22000023130310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000023130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559410384832).

2000023130310 is an abundant number, since it is smaller than the sum of its proper divisors (3118797639354).

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

2000023130310 is a wasteful number, since it uses less digits than its factorization.

2000023130310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898.

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

Adding to 2000023130310 its reverse (130313200002), we get a palindrome (2130336330312).

The spelling of 2000023130310 in words is "two trillion, twenty-three million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 157 170 255 314 471 510 785 942 1361 1570 2355 2669 2722 4083 4710 5338 6805 8007 8166 13345 13610 16014 18353 20415 23137 26690 36706 40035 40830 46274 55059 69411 80070 91765 110118 115685 138822 183530 213677 231370 275295 312001 347055 427354 550590 624002 641031 694110 936003 1068385 1282062 1560005 1872006 2136770 2881421 3120010 3205155 3632509 4680015 5762842 6410310 7265018 8644263 9360030 10897527 14407105 17288526 18162545 21795054 24978433 28814210 36325090 43221315 48984157 49956866 54487635 74935299 86442630 97968314 108975270 124892165 146952471 149870598 244920785 249784330 293904942 374676495 424633361 489841570 734762355 749352990 849266722 1273900083 1469524710 2123166805 2547800166 3921613981 4246333610 6369500415 7843227962 11764841943 12739000830 19608069905 23529683886 39216139810 58824209715 66667437677 117648419430 133334875354 200002313031 333337188385 400004626062 666674376770 1000011565155 2000023130310