Search a number
-
+
101111002210002 = 2341688359715289
BaseRepresentation
bin10110111111010110111101…
…010111101001111011010010
3111021000010011120222110210210
4112333112331113221323102
5101223100313031210002
6555013430403504550
730204012615125631
oct2677267527517322
9437003146873723
10101111002210002
112a242a31875404
12b40bba6088156
13445595a440745
141ad7b275a3518
15ba51e10e996c
hex5bf5bd5e9ed2

101111002210002 has 32 divisors (see below), whose sum is σ = 207184348405440. Its totient is φ = 32876848961280.

The previous prime is 101111002209953. The next prime is 101111002210063. The reversal of 101111002210002 is 200012200111101.

It is a super-2 number, since 2×1011110022100022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101111002210002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28164427 + ... + 31550862.

It is an arithmetic number, because the mean of its divisors is an integer number (6474510887670).

Almost surely, 2101111002210002 is an apocalyptic number.

101111002210002 is an abundant number, since it is smaller than the sum of its proper divisors (106073346195438).

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

101111002210002 is a wasteful number, since it uses less digits than its factorization.

101111002210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59722218.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101111002210002 its reverse (200012200111101), we get a palindrome (301123202321103).

The spelling of 101111002210002 in words is "one hundred one trillion, one hundred eleven billion, two million, two hundred ten thousand, two".

Divisors: 1 2 3 6 41 82 123 246 6883 13766 20649 41298 282203 564406 846609 1693218 59715289 119430578 179145867 358291734 2448326849 4896653698 7344980547 14689961094 411020334187 822040668374 1233061002561 2466122005122 16851833701667 33703667403334 50555501105001 101111002210002