Search a number
-
+
10021001100110 = 2571121391009001
BaseRepresentation
bin1001000111010011001000…
…1101011111101101001110
31022110222221210111200020222
42101310302031133231032
52303141002240200420
633151330115311342
72052664514633360
oct221646215375516
938428853450228
1010021001100110
113213978968400
12115a178bab552
13578c90066c90
1426903a36ad30
15125a08a0b225
hex91d3235fb4e

10021001100110 has 96 divisors (see below), whose sum is σ = 24402061688256. Its totient is φ = 2883165120000.

The previous prime is 10021001099971. The next prime is 10021001100113. The reversal of 10021001100110 is 1100110012001.

It is a happy number.

10021001100110 is a modest number, since divided by 1100110 gives 100210 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021001100113) 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, 45394391 + ... + 45614610.

It is an arithmetic number, because the mean of its divisors is an integer number (254188142586).

Almost surely, 210021001100110 is an apocalyptic number.

10021001100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021001100110 is an abundant number, since it is smaller than the sum of its proper divisors (14381060588146).

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

10021001100110 is a wasteful number, since it uses less digits than its factorization.

10021001100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91009050 (or 91009039 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10021001100110 its reverse (1100110012001), we get a palindrome (11121111112111).

The spelling of 10021001100110 in words is "ten trillion, twenty-one billion, one million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 91009001 182018002 455045005 637063007 910090010 1001099011 1183117013 1274126014 2002198022 2366234026 3185315035 5005495055 5915585065 6370630070 7007693077 8281819091 10010990110 11012089121 11831170130 13014287143 14015386154 16563638182 22024178242 26028574286 35038465385 41409095455 55060445605 65071435715 70076930770 77084623847 82818190910 91100010001 110120891210 130142871430 143157158573 154169247694 182200020002 286314317146 385423119235 455500050005 715785792865 770846238470 911000100010 1002100110011 1431571585730 2004200220022 5010500550055 10021001100110