Search a number
-
+
100212232131 = 361159211811
BaseRepresentation
bin101110101010100011…
…1010100111111000011
3100120122221222212000000
41131111013110333003
53120213312412011
6114011543531043
710145231630034
oct1352507247703
9316587885000
10100212232131
1139555213260
1217508a59a83
1395b078a59b
144bc9308a8b
152917bad356
hex17551d4fc3

100212232131 has 56 divisors (see below), whose sum is σ = 166687571520. Its totient is φ = 59705002800.

The previous prime is 100212232123. The next prime is 100212232187. The reversal of 100212232131 is 131232212001.

100212232131 is a `hidden beast` number, since 100 + 212 + 2 + 321 + 31 = 666.

It is not a de Polignac number, because 100212232131 - 23 = 100212232123 is a prime.

It is a super-2 number, since 2×1002122321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212232031) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 367216 + ... + 579026.

Almost surely, 2100212232131 is an apocalyptic number.

100212232131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212232131 is a deficient number, since it is larger than the sum of its proper divisors (66475339389).

100212232131 is an equidigital number, since it uses as much as digits as its factorization.

100212232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211899 (or 211884 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100212232131 its reverse (131232212001), we get a palindrome (231444444132).

The spelling of 100212232131 in words is "one hundred billion, two hundred twelve million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 59 81 99 177 243 297 531 649 729 891 1593 1947 2673 4779 5841 8019 14337 17523 43011 52569 157707 211811 473121 635433 1906299 2329921 5718897 6989763 12496849 17156691 20969289 37490547 51470073 62907867 112471641 137465339 154410219 188723601 337414923 412396017 566170803 1012244769 1237188051 1698512409 3036734307 3711564153 9110202921 11134692459 33404077377 100212232131