Search a number
-
+
101131210212 = 223617397109179
BaseRepresentation
bin101111000101111100…
…0111100110111100100
3100200001000012202221020
41132023320330313210
53124104042211322
6114243052451140
710210061050314
oct1361370746744
9320030182836
10101131210212
1139986a2807a
1217724779ab0
1396c8c9a1b6
144c753a5444
15296d6d805c
hex178be3cde4

101131210212 has 192 divisors, whose sum is σ = 249271545600. Its totient is φ = 31890309120.

The previous prime is 101131210207. The next prime is 101131210217. The reversal of 101131210212 is 212012131101.

It is an interprime number because it is at equal distance from previous prime (101131210207) and next prime (101131210217).

It is a junction number, because it is equal to n+sod(n) for n = 101131210191 and 101131210200.

It is not an unprimeable number, because it can be changed into a prime (101131210217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564978739 + ... + 564978917.

It is an arithmetic number, because the mean of its divisors is an integer number (1298289300).

Almost surely, 2101131210212 is an apocalyptic number.

101131210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101131210212 is an abundant number, since it is smaller than the sum of its proper divisors (148140335388).

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

101131210212 is a wasteful number, since it uses less digits than its factorization.

101131210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101131210212 its reverse (212012131101), we get a palindrome (313143341313).

The spelling of 101131210212 in words is "one hundred one billion, one hundred thirty-one million, two hundred ten thousand, two hundred twelve".