Search a number
-
+
100211222001011 = 11157134507431399
BaseRepresentation
bin10110110010010000111110…
…010010100011010101110011
3111010211002200100202221011012
4112302100332102203111303
5101113330040313013021
6553044222211141135
730052010333421332
oct2662207622432563
9433732610687135
10100211222001011
1129a26382355880
12b2a57335a47ab
1343bbb5437abb4
141aa636b471d19
15b8bacd03635b
hex5b243e4a3573

100211222001011 has 16 divisors (see below), whose sum is σ = 110018720275200. Its totient is φ = 90519966245280.

The previous prime is 100211222000951. The next prime is 100211222001031. The reversal of 100211222001011 is 110100222112001.

It is a de Polignac number, because none of the positive numbers 2k-100211222001011 is a prime.

It is a super-2 number, since 2×1002112220010112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100211222001031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232077890 + ... + 232509288.

It is an arithmetic number, because the mean of its divisors is an integer number (6876170017200).

Almost surely, 2100211222001011 is an apocalyptic number.

100211222001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211222001011 is a deficient number, since it is larger than the sum of its proper divisors (9807498274189).

100211222001011 is a wasteful number, since it uses less digits than its factorization.

100211222001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566074.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211222001011 its reverse (110100222112001), we get a palindrome (210311444113012).

It can be divided in two parts, 100211 and 222001011, that added together give a palindrome (222101222).

The spelling of 100211222001011 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, one thousand, eleven".

Divisors: 1 11 157 1727 134507 431399 1479577 4745389 21117599 67729643 232293589 745026073 58026185293 638288038223 9110111091001 100211222001011