Search a number
-
+
100130992 = 24133153293
BaseRepresentation
bin1011111011111…
…10000010110000
320222102011220021
411331332002300
5201113142432
613534053224
72324046043
oct575760260
9228364807
10100130992
1151580995
122964a214
131798b310
14d426c5a
158bcd697
hex5f7e0b0

100130992 has 80 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 43729920.

The previous prime is 100130981. The next prime is 100130993. The reversal of 100130992 is 299031001.

It is not an unprimeable number, because it can be changed into a prime (100130993) 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, 341598 + ... + 341890.

Almost surely, 2100130992 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 100130992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242944).

100130992 is an abundant number, since it is smaller than the sum of its proper divisors (120354896).

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

100130992 is a wasteful number, since it uses less digits than its factorization.

100130992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 100130992 is about 10006.5474565406. The cubic root of 100130992 is about 464.3614652665.

Adding to 100130992 its reverse (299031001), we get a palindrome (399161993).

The spelling of 100130992 in words is "one hundred million, one hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 31 52 53 62 104 106 124 208 212 248 293 403 424 496 586 689 806 848 1172 1378 1612 1643 2344 2756 3224 3286 3809 4688 5512 6448 6572 7618 9083 11024 13144 15236 15529 18166 21359 26288 30472 31058 36332 42718 60944 62116 72664 85436 118079 124232 145328 170872 201877 236158 248464 341744 403754 472316 481399 807508 944632 962798 1615016 1889264 1925596 3230032 3851192 6258187 7702384 12516374 25032748 50065496 100130992