Search a number
-
+
101423292 = 2231719137191
BaseRepresentation
bin1100000101110…
…01100010111100
321001211211121020
412002321202330
5201431021132
614021504140
72341040505
oct602714274
9231754536
10101423292
1152283903
1229b72050
13180215a9
14d681bac
158d8652c
hex60b98bc

101423292 has 96 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 29767680.

The previous prime is 101423233. The next prime is 101423293. The reversal of 101423292 is 292324101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101423293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530917 + ... + 531107.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 2101423292 is an apocalyptic number.

101423292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101423292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

101423292 is an abundant number, since it is smaller than the sum of its proper divisors (165656388).

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

101423292 is a wasteful number, since it uses less digits than its factorization.

101423292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 101423292 is about 10070.9131661434. The cubic root of 101423292 is about 466.3506297854.

Adding to 101423292 its reverse (292324101), we get a palindrome (393747393).

The spelling of 101423292 in words is "one hundred one million, four hundred twenty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 137 191 204 228 274 323 382 411 548 573 646 764 822 969 1146 1292 1644 1938 2292 2329 2603 3247 3629 3876 4658 5206 6494 6987 7258 7809 9316 9741 10412 10887 12988 13974 14516 15618 19482 21774 26167 27948 31236 38964 43548 44251 52334 61693 78501 88502 104668 123386 132753 157002 177004 185079 246772 265506 314004 370158 444839 497173 531012 740316 889678 994346 1334517 1491519 1779356 1988692 2669034 2983038 5338068 5966076 8451941 16903882 25355823 33807764 50711646 101423292