Search a number
-
+
11100212211201 = 331392912799949
BaseRepresentation
bin1010000110000111100000…
…1101001010111000000001
31110022011120212121110121020
42201201320031022320001
52423331213311224301
635335211143020053
72223651415005351
oct241417015127001
943264525543536
1011100212211201
11359a634458473
1212b336673a629
1362698cba4c49
142a5378876b61
15143b1e361436
hexa187834ae01

11100212211201 has 32 divisors (see below), whose sum is σ = 14876666880000. Its totient is φ = 7362057351168.

The previous prime is 11100212211133. The next prime is 11100212211227. The reversal of 11100212211201 is 10211221200111.

It is a happy number.

It is not a de Polignac number, because 11100212211201 - 211 = 11100212209153 is a prime.

It is a super-2 number, since 2×111002122112012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11100212211401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115706375 + ... + 1115716323.

It is an arithmetic number, because the mean of its divisors is an integer number (464895840000).

Almost surely, 211100212211201 is an apocalyptic number.

It is an amenable number.

11100212211201 is a deficient number, since it is larger than the sum of its proper divisors (3776454668799).

11100212211201 is a wasteful number, since it uses less digits than its factorization.

11100212211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12473.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11100212211201 its reverse (10211221200111), we get a palindrome (21311433411312).

The spelling of 11100212211201 in words is "eleven trillion, one hundred billion, two hundred twelve million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 313 929 939 1279 2787 3837 9949 29847 290777 400327 872331 1188191 1200981 3114037 3564573 9242621 9342111 12724771 27727863 38174313 371903783 1115711349 2892940373 3982853323 8678821119 11821312259 11948559969 35463936777 3700070737067 11100212211201