Search a number
-
+
100022210010 = 23252115267099
BaseRepresentation
bin101110100100111001…
…0011100110111011010
3100120011201102201122200
41131021302130313122
53114321141210020
6113541035031030
710140433520502
oct1351162346732
9316151381580
10100022210010
1139467a25888
121747529b476
1395802b7a68
144babda2a02
152906175590
hex1749c9cdda

100022210010 has 48 divisors (see below), whose sum is σ = 261290296800. Its totient is φ = 26546173920.

The previous prime is 100022210009. The next prime is 100022210027. The reversal of 100022210010 is 10012220001.

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 = 100022209974 and 100022210001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2614560 + ... + 2652539.

It is an arithmetic number, because the mean of its divisors is an integer number (5443547850).

Almost surely, 2100022210010 is an apocalyptic number.

100022210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022210010 is an abundant number, since it is smaller than the sum of its proper divisors (161268086790).

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

100022210010 is a wasteful number, since it uses less digits than its factorization.

100022210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267323 (or 5267320 counting only the distinct ones).

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

Adding to 100022210010 its reverse (10012220001), we get a palindrome (110034430011).

Subtracting from 100022210010 its reverse (10012220001), we obtain a palindrome (90009990009).

The spelling of 100022210010 in words is "one hundred billion, twenty-two million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1899 2110 3165 3798 6330 9495 18990 5267099 10534198 15801297 26335495 31602594 47403891 52670990 79006485 94807782 158012970 237019455 474038910 1111357889 2222715778 3334073667 5556789445 6668147334 10002221001 11113578890 16670368335 20004442002 33340736670 50011105005 100022210010