Search a number
-
+
101113004524 = 22723349449879
BaseRepresentation
bin101111000101011001…
…1100000000111101100
3100122222201221211102111
41132022303200013230
53124034412121044
6114241202333404
710206450233440
oct1361263400754
9318881854374
10101113004524
1139977722954
121771a65a264
1396c52946bc
144c72bc6820
15296bcddb34
hex178ace01ec

101113004524 has 48 divisors (see below), whose sum is σ = 211623552000. Its totient is φ = 41331191616.

The previous prime is 101113004521. The next prime is 101113004527. The reversal of 101113004524 is 425400311101.

It is an interprime number because it is at equal distance from previous prime (101113004521) and next prime (101113004527).

It is a junction number, because it is equal to n+sod(n) for n = 101113004495 and 101113004504.

It is not an unprimeable number, because it can be changed into a prime (101113004521) 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, 184 + ... + 449695.

It is an arithmetic number, because the mean of its divisors is an integer number (4408824000).

Almost surely, 2101113004524 is an apocalyptic number.

101113004524 is a gapful number since it is divisible by the number (14) 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 101113004524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105811776000).

101113004524 is an abundant number, since it is smaller than the sum of its proper divisors (110510547476).

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

101113004524 is a wasteful number, since it uses less digits than its factorization.

101113004524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450262 (or 450260 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 101113004524 its reverse (425400311101), we get a palindrome (526513315625).

The spelling of 101113004524 in words is "one hundred one billion, one hundred thirteen million, four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 349 644 698 1396 2443 4886 8027 9772 16054 32108 56189 112378 224756 449879 899758 1799516 3149153 6298306 10347217 12596612 20694434 41388868 72430519 144861038 157007771 289722076 314015542 628031084 1099054397 2198108794 3611178733 4396217588 7222357466 14444714932 25278251131 50556502262 101113004524