Search a number
-
+
100222100331131 = 1941131982097819
BaseRepresentation
bin10110110010011011000110…
…101100000101101001111011
3111010212010202111021100200202
4112302123012230011221323
5101114014330141044011
6553053221451352415
730052544034616442
oct2662330654055173
9433763674240622
10100222100331131
1129a2aa54941249
12b2a786a75270b
1343bcb9901551c
141aa6ac010dd59
15b8c01809023b
hex5b26c6b05a7b

100222100331131 has 16 divisors (see below), whose sum is σ = 108895006281600. Its totient is φ = 91924355764800.

The previous prime is 100222100331109. The next prime is 100222100331137. The reversal of 100222100331131 is 131133001222001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100222100331131 - 238 = 99947222424187 is a prime.

It is a super-2 number, since 2×1002221003311312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222100331137) 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, 490946861 + ... + 491150958.

It is an arithmetic number, because the mean of its divisors is an integer number (6805937892600).

Almost surely, 2100222100331131 is an apocalyptic number.

100222100331131 is a deficient number, since it is larger than the sum of its proper divisors (8672905950469).

100222100331131 is a wasteful number, since it uses less digits than its factorization.

100222100331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982098010.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100222100331131 its reverse (131133001222001), we get a palindrome (231355101553132).

The spelling of 100222100331131 in words is "one hundred trillion, two hundred twenty-two billion, one hundred million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 19 41 131 779 2489 5371 102049 982097819 18659858561 40266010579 128654814289 765054201001 2444441471491 5274847385849 100222100331131