Search a number
-
+
101818992 = 24311792441
BaseRepresentation
bin1100001000110…
…10001001110000
321002120221101210
412010122021300
5202031201432
614034200120
72344306242
oct604321160
9232527353
10101818992
1152524130
122a123040
131812c732
14d746092
158e138cc
hex611a270

101818992 has 80 divisors (see below), whose sum is σ = 290695680. Its totient is φ = 30451200.

The previous prime is 101818991. The next prime is 101819017. The reversal of 101818992 is 299818101.

It is a self number, because there is not a number n which added to its sum of digits gives 101818992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101818991) 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, 40492 + ... + 42932.

It is an arithmetic number, because the mean of its divisors is an integer number (3633696).

Almost surely, 2101818992 is an apocalyptic number.

101818992 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 101818992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145347840).

101818992 is an abundant number, since it is smaller than the sum of its proper divisors (188876688).

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

101818992 is a wasteful number, since it uses less digits than its factorization.

101818992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The square root of 101818992 is about 10090.5397278837. The cubic root of 101818992 is about 466.9563271997.

The spelling of 101818992 in words is "one hundred one million, eight hundred eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1896 2441 2607 3476 3792 4882 5214 6952 7323 9764 10428 13904 14646 19528 20856 26851 29292 39056 41712 53702 58584 80553 107404 117168 161106 192839 214808 322212 385678 429616 578517 644424 771356 1157034 1288848 1542712 2121229 2314068 3085424 4242458 4628136 6363687 8484916 9256272 12727374 16969832 25454748 33939664 50909496 101818992