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20001300012 = 22323789168719
BaseRepresentation
bin10010101000001010…
…111001111000101100
31220121220222022112100
4102220022321320230
5311430313100022
613104413135100
71305436150011
oct225012717054
956556868470
1020001300012
118534237811
123a6248a490
131b69a41585
14d7a543708
157c0e261ac
hex4a82b9e2c

20001300012 has 72 divisors (see below), whose sum is σ = 52509038400. Its totient is φ = 6413983488.

The previous prime is 20001299999. The next prime is 20001300017. The reversal of 20001300012 is 21000310002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20001299967 and 20001300003.

It is not an unprimeable number, because it can be changed into a prime (20001300017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34189 + ... + 202907.

It is an arithmetic number, because the mean of its divisors is an integer number (729292200).

Almost surely, 220001300012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254519200).

20001300012 is an abundant number, since it is smaller than the sum of its proper divisors (32507738388).

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

20001300012 is a wasteful number, since it uses less digits than its factorization.

20001300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168855 (or 168850 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20001300012 its reverse (21000310002), we get a palindrome (41001610014).

The spelling of 20001300012 in words is "twenty billion, one million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 1068 1332 1602 3204 3293 6586 9879 13172 19758 29637 39516 59274 118548 168719 337438 506157 674876 1012314 1518471 2024628 3036942 6073884 6242603 12485206 15015991 18727809 24970412 30031982 37455618 45047973 56183427 60063964 74911236 90095946 112366854 135143919 180191892 224733708 270287838 540575676 555591667 1111183334 1666775001 2222366668 3333550002 5000325003 6667100004 10000650006 20001300012