Search a number
-
+
1000002220110 = 2325371823164729
BaseRepresentation
bin11101000110101001100…
…01101111000001001110
310112121011212121012220100
432203110301233001032
5112341001032020420
62043221130031530
7132150662423445
oct16432461570116
93477155535810
101000002220110
1135610a2019a3
121419828785a6
13733b889520a
1436586863d5c
151b02ba54190
hexe8d4c6f04e

1000002220110 has 96 divisors (see below), whose sum is σ = 2671757187840. Its totient is φ = 259316135424.

The previous prime is 1000002220099. The next prime is 1000002220117. The reversal of 1000002220110 is 110222000001.

1000002220110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1000002220092 and 1000002220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000002220117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5988226 + ... + 6152954.

It is an arithmetic number, because the mean of its divisors is an integer number (27830804040).

Almost surely, 21000002220110 is an apocalyptic number.

1000002220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000002220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335878593920).

1000002220110 is an abundant number, since it is smaller than the sum of its proper divisors (1671754967730).

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

1000002220110 is a wasteful number, since it uses less digits than its factorization.

1000002220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166602 (or 166599 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000002220110 its reverse (110222000001), we get a palindrome (1110224220111).

The spelling of 1000002220110 in words is "one trillion, two million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 1823 3330 3646 5469 9115 10938 16407 18230 27345 32814 54690 67451 82035 134902 164070 164729 202353 329458 337255 404706 494187 607059 674510 823645 988374 1011765 1214118 1482561 1647290 2023530 2470935 2965122 3035295 4941870 6070590 6094973 7412805 12189946 14825610 18284919 30474865 36569838 54854757 60949730 91424595 109709514 182849190 274273785 300300967 548547570 600601934 900902901 1501504835 1801805802 2702708703 3003009670 4504514505 5405417406 9009029010 11111135779 13513543515 22222271558 27027087030 33333407337 55555678895 66666814674 100000222011 111111357790 166667036685 200000444022 333334073370 500001110055 1000002220110