Search a number
-
+
10220012100010 = 256719379034971
BaseRepresentation
bin1001010010111000100000…
…1100001101100110101010
31100012000122012210221200001
42110232020030031212222
52314421041044200020
633423001515533214
72103241266342226
oct224561014154652
940160565727601
1010220012100010
113290312439149
12119085945a20a
135919874ca99b
14274918d65786
1512aca522350a
hex94b8830d9aa

10220012100010 has 32 divisors (see below), whose sum is σ = 18767328311232. Its totient is φ = 4006124559360.

The previous prime is 10220012099929. The next prime is 10220012100017. The reversal of 10220012100010 is 1000121002201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10220012100010.

It is not an unprimeable number, because it can be changed into a prime (10220012100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39388176 + ... + 39646795.

It is an arithmetic number, because the mean of its divisors is an integer number (586479009726).

Almost surely, 210220012100010 is an apocalyptic number.

10220012100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220012100010 is a deficient number, since it is larger than the sum of its proper divisors (8547316211222).

10220012100010 is a wasteful number, since it uses less digits than its factorization.

10220012100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79035238.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220012100010 its reverse (1000121002201), we get a palindrome (11220133102211).

The spelling of 10220012100010 in words is "ten trillion, two hundred twenty billion, twelve million, one hundred thousand, ten".

Divisors: 1 2 5 10 67 134 193 335 386 670 965 1930 12931 25862 64655 129310 79034971 158069942 395174855 790349710 5295343057 10590686114 15253749403 26476715285 30507498806 52953430570 76268747015 152537494030 1022001210001 2044002420002 5110006050005 10220012100010