Search a number
-
+
112303424532 = 2231317167253573
BaseRepresentation
bin110100010010111001…
…1100100010000010100
3101201212121201001210210
41220211303210100110
53314444134041112
6123331432045420
711053661233605
oct1504563442024
9351777631723
10112303424532
114369a3a0052
1219922233870
13a7897a09c0
1456150a3dac
152dc4443b3c
hex1a25ce4414

112303424532 has 96 divisors (see below), whose sum is σ = 300588648192. Its totient is φ = 32327387136.

The previous prime is 112303424509. The next prime is 112303424533. The reversal of 112303424532 is 235424303211.

It is a super-2 number, since 2×1123034245322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112303424532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112303424533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316098 + ... + 569670.

It is an arithmetic number, because the mean of its divisors is an integer number (3131131752).

Almost surely, 2112303424532 is an apocalyptic number.

112303424532 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 112303424532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150294324096).

112303424532 is an abundant number, since it is smaller than the sum of its proper divisors (188285223660).

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

112303424532 is a wasteful number, since it uses less digits than its factorization.

112303424532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253777 (or 253775 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 112303424532 its reverse (235424303211), we get a palindrome (347727727743).

The spelling of 112303424532 in words is "one hundred twelve billion, three hundred three million, four hundred twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 167 204 221 334 442 501 663 668 884 1002 1326 2004 2171 2652 2839 4342 5678 6513 8517 8684 11356 13026 17034 26052 34068 36907 73814 110721 147628 221442 253573 442884 507146 760719 1014292 1521438 3042876 3296449 4310741 6592898 8621482 9889347 12932223 13185796 17242964 19778694 25864446 39557388 42346691 51728892 56039633 84693382 112079266 127040073 168118899 169386764 224158532 254080146 336237798 508160292 550506983 672475596 719893747 1101013966 1439787494 1651520949 2159681241 2202027932 2879574988 3303041898 4319362482 6606083796 8638724964 9358618711 18717237422 28075856133 37434474844 56151712266 112303424532