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1000201021110 = 2325371132658059
BaseRepresentation
bin11101000111000001010…
…00000110011010110110
310112121200201200100121100
432203200220012122312
5112341402430133420
62043252551030530
7132155625255264
oct16434050063266
93477621610540
101000201021110
11356201446045
12141a1936b446
137341ab1c845
14365a5013434
151b03e223190
hexe8e0a066b6

1000201021110 has 96 divisors (see below), whose sum is σ = 2694443525280. Its totient is φ = 257214956544.

The previous prime is 1000201021093. The next prime is 1000201021163. The reversal of 1000201021110 is 111201020001.

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 = 1000201021092 and 1000201021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952740 + ... + 1705319.

It is an arithmetic number, because the mean of its divisors is an integer number (28067120055).

Almost surely, 21000201021110 is an apocalyptic number.

1000201021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000201021110 is an abundant number, since it is smaller than the sum of its proper divisors (1694242504170).

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

1000201021110 is a wasteful number, since it uses less digits than its factorization.

1000201021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658222 (or 2658219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000201021110 its reverse (111201020001), we get a palindrome (1111402041111).

The spelling of 1000201021110 in words is "one trillion, two hundred one million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 113 185 222 226 333 339 370 555 565 666 678 1017 1110 1130 1665 1695 2034 3330 3390 4181 5085 8362 10170 12543 20905 25086 37629 41810 62715 75258 125430 188145 376290 2658059 5316118 7974177 13290295 15948354 23922531 26580590 39870885 47845062 79741770 98348183 119612655 196696366 239225310 295044549 300360667 491740915 590089098 600721334 885133647 901082001 983481830 1475222745 1501803335 1770267294 1802164002 2703246003 2950445490 3003606670 4425668235 4505410005 5406492006 8851336470 9010820010 11113344679 13516230015 22226689358 27032460030 33340034037 55566723395 66680068074 100020102111 111133446790 166700170185 200040204222 333400340370 500100510555 1000201021110