Search a number
-
+
101213222992 = 2477116277823
BaseRepresentation
bin101111001000011000…
…1110011100001010000
3100200020201112110022121
41132100301303201100
53124241041113432
6114255142344024
710212105125530
oct1362061634120
9320221473277
10101213222992
1139a19253532
121774812b014
13970cc8377b
144c822334c0
1529759d8197
hex1790c73850

101213222992 has 80 divisors (see below), whose sum is σ = 227440300032. Its totient is φ = 42734401920.

The previous prime is 101213222939. The next prime is 101213222993. The reversal of 101213222992 is 299222312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213222993) 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, 12933993 + ... + 12941815.

Almost surely, 2101213222992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101213222992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113720150016).

101213222992 is an abundant number, since it is smaller than the sum of its proper divisors (126227077040).

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

101213222992 is a wasteful number, since it uses less digits than its factorization.

101213222992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 101213222992 in words is "one hundred one billion, two hundred thirteen million, two hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1627 1988 3254 3976 6508 7823 7952 11389 13016 15646 22778 26032 31292 45556 54761 62584 91112 109522 115517 125168 182224 219044 231034 438088 462068 555433 808619 876176 924136 1110866 1617238 1848272 2221732 3234476 3888031 4443464 6468952 7776062 8886928 12728021 12937904 15552124 25456042 31104248 50912084 62208496 89096147 101824168 178192294 203648336 356384588 712769176 903689491 1425538352 1807378982 3614757964 6325826437 7229515928 12651652874 14459031856 25303305748 50606611496 101213222992