Search a number
-
+
102200000110110 = 23257533060796649
BaseRepresentation
bin10111001111001101001010…
…101100111101111000011110
3111101212020001201122122210100
4113033031022230331320132
5101343421100012010420
61001210010520121530
730345464163423330
oct2717151254757036
9441766051578710
10102200000110110
112a62285a793961
12b5670653062a6
134504559a37626
141b347137b1450
15bc36cac44190
hex5cf34ab3de1e

102200000110110 has 96 divisors (see below), whose sum is σ = 309409811755200. Its totient is φ = 22919245300224.

The previous prime is 102200000110063. The next prime is 102200000110121. The reversal of 102200000110110 is 11011000002201.

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 = 102200000110092 and 102200000110101.

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, 1530364935 + ... + 1530431714.

It is an arithmetic number, because the mean of its divisors is an integer number (3223018872450).

Almost surely, 2102200000110110 is an apocalyptic number.

102200000110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102200000110110 is an abundant number, since it is smaller than the sum of its proper divisors (207209811645090).

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

102200000110110 is a wasteful number, since it uses less digits than its factorization.

102200000110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060796722 (or 3060796719 counting only the distinct ones).

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

Adding to 102200000110110 its reverse (11011000002201), we get a palindrome (113211000112311).

The spelling of 102200000110110 in words is "one hundred two trillion, two hundred billion, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1590 1855 2226 2385 3339 3710 4770 5565 6678 11130 16695 33390 3060796649 6121593298 9182389947 15303983245 18364779894 21425576543 27547169841 30607966490 42851153086 45911949735 55094339682 64276729629 91823899470 107127882715 128553459258 137735849205 162222222397 192830188887 214255765430 275471698410 321383648145 324444444794 385660377774 486666667191 642767296290 811111111985 964150944435 973333334382 1135555556779 1460000001573 1622222223970 1928301888870 2271111113558 2433333335955 2920000003146 3406666670337 4866666671910 5677777783895 6813333340674 7300000007865 10220000011011 11355555567790 14600000015730 17033333351685 20440000022022 34066666703370 51100000055055 102200000110110