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113520233430 = 23351767336749
BaseRepresentation
bin110100110111001010…
…1010100101111010110
3101212000102100100211000
41221232111110233112
53324442134432210
6124052300324130
711126065030452
oct1515625245726
9355012310730
10113520233430
114416423763a
121a001843646
13a9218cbc76
1456cc92b662
152e4619eac0
hex1a6e554bd6

113520233430 has 128 divisors (see below), whose sum is σ = 321012720000. Its totient is φ = 28448243712.

The previous prime is 113520233381. The next prime is 113520233473. The reversal of 113520233430 is 34332025311.

113520233430 is a `hidden beast` number, since 113 + 5 + 202 + 3 + 343 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113520233394 and 113520233403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3070696 + ... + 3107444.

It is an arithmetic number, because the mean of its divisors is an integer number (2507911875).

Almost surely, 2113520233430 is an apocalyptic number.

113520233430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113520233430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160506360000).

113520233430 is an abundant number, since it is smaller than the sum of its proper divisors (207492486570).

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

113520233430 is a wasteful number, since it uses less digits than its factorization.

113520233430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37455 (or 37449 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 113520233430 its reverse (34332025311), we get a palindrome (147852258741).

The spelling of 113520233430 in words is "one hundred thirteen billion, five hundred twenty million, two hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 673 765 918 1346 1530 2019 2295 3365 4038 4590 6057 6730 10095 11441 12114 18171 20190 22882 30285 34323 36342 36749 57205 60570 68646 73498 90855 102969 110247 114410 171615 181710 183745 205938 220494 308907 330741 343230 367490 514845 551235 617814 624733 661482 992223 1029690 1102470 1249466 1544535 1653705 1874199 1984446 3089070 3123665 3307410 3748398 4961115 5622597 6247330 9370995 9922230 11245194 16867791 18741990 24732077 28112985 33735582 49464154 56225970 74196231 84338955 123660385 148392462 168677910 222588693 247320770 370981155 420445309 445177386 667766079 741962310 840890618 1112943465 1261335927 1335532158 2102226545 2225886930 2522671854 3338830395 3784007781 4204453090 6306679635 6677660790 7568015562 11352023343 12613359270 18920038905 22704046686 37840077810 56760116715 113520233430