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113033344424 = 2371113101139753
BaseRepresentation
bin110100101000101001…
…1111111010110101000
3101210202111011211122212
41221101103333112220
53322443014010144
6123532104504252
711111033401130
oct1512123772650
9353674154585
10113033344424
1143a34415730
1219aa677b088
13a874a87770
145683dc9ac0
152e1857649e
hex1a514ff5a8

113033344424 has 128 divisors (see below), whose sum is σ = 287378945280. Its totient is φ = 40248576000.

The previous prime is 113033344393. The next prime is 113033344441. The reversal of 113033344424 is 424443330311.

It is a super-2 number, since 2×1130333444242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738932 + ... + 878684.

It is an arithmetic number, because the mean of its divisors is an integer number (2245148010).

Almost surely, 2113033344424 is an apocalyptic number.

113033344424 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 113033344424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143689472640).

113033344424 is an abundant number, since it is smaller than the sum of its proper divisors (174345600856).

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

113033344424 is a wasteful number, since it uses less digits than its factorization.

113033344424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139891 (or 139887 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 113033344424 its reverse (424443330311), we get a palindrome (537476674735).

The spelling of 113033344424 in words is "one hundred thirteen billion, thirty-three million, three hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 101 104 143 154 182 202 286 308 364 404 572 616 707 728 808 1001 1111 1144 1313 1414 2002 2222 2626 2828 4004 4444 5252 5656 7777 8008 8888 9191 10504 14443 15554 18382 28886 31108 36764 57772 62216 73528 101101 115544 139753 202202 279506 404404 559012 808808 978271 1118024 1537283 1816789 1956542 3074566 3633578 3913084 6149132 7267156 7826168 10760981 12298264 12717523 14115053 14534312 19984679 21521962 25435046 28230106 39969358 43043924 50870092 56460212 79938716 86087848 98805371 101740184 112920424 139892753 155265583 159877432 183495689 197610742 279785506 310531166 366991378 395221484 559571012 621062332 733982756 790442968 1086859081 1119142024 1242124664 1284469823 1467965512 2018452579 2173718162 2568939646 4036905158 4347436324 5137879292 8073810316 8694872648 10275758584 14129168053 16147620632 28258336106 56516672212 113033344424