[go: up one dir, main page]

Search a number
-
+
102991512 = 23313893709
BaseRepresentation
bin1100010001110…
…00011010011000
321011210111210110
412020320122120
5202331212022
614115244320
72360261541
oct610703230
9234714713
10102991512
1153155058
122a5a96a0
1318450330
14d96d4c8
15909600c
hex6238698

102991512 has 64 divisors (see below), whose sum is σ = 280476000. Its totient is φ = 31325184.

The previous prime is 102991507. The next prime is 102991519. The reversal of 102991512 is 215199201.

It is a super-2 number, since 2×1029915122 = 21214503088092288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102991512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102991519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25914 + ... + 29622.

Almost surely, 2102991512 is an apocalyptic number.

102991512 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 102991512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140238000).

102991512 is an abundant number, since it is smaller than the sum of its proper divisors (177484488).

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

102991512 is a wasteful number, since it uses less digits than its factorization.

102991512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 102991512 is about 10148.4733827310. The cubic root of 102991512 is about 468.7419380658.

It can be divided in two parts, 10299 and 1512, that added together give a palindrome (11811).

The spelling of 102991512 in words is "one hundred two million, nine hundred ninety-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 356 534 712 1068 1157 2136 2314 3471 3709 4628 6942 7418 9256 11127 13884 14836 22254 27768 29672 44508 48217 89016 96434 144651 192868 289302 330101 385736 578604 660202 990303 1157208 1320404 1980606 2640808 3961212 4291313 7922424 8582626 12873939 17165252 25747878 34330504 51495756 102991512