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113521034430 = 2325531513972
BaseRepresentation
bin110100110111001100…
…0011000010010111110
3101212000110212001120200
41221232120120102332
53324442341100210
6124052325424330
711126104604646
oct1515630302276
9355013761520
10113521034430
1144164734421
121a001b6b0a6
13a921b1c72b
1456cca99526
152e462ac0c0
hex1a6e6184be

113521034430 has 144 divisors (see below), whose sum is σ = 303479620704. Its totient is φ = 29430086400.

The previous prime is 113521034387. The next prime is 113521034503. The reversal of 113521034430 is 34430125311.

It is a happy number.

113521034430 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 210 + 3 + 443 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113521034394 and 113521034403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 285946992 + ... + 285947388.

It is an arithmetic number, because the mean of its divisors is an integer number (2107497366).

Almost surely, 2113521034430 is an apocalyptic number.

113521034430 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 113521034430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151739810352).

113521034430 is an abundant number, since it is smaller than the sum of its proper divisors (189958586274).

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

113521034430 is a wasteful number, since it uses less digits than its factorization.

113521034430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 113521034430 its reverse (34430125311), we get a palindrome (147951159741).

The spelling of 113521034430 in words is "one hundred thirteen billion, five hundred twenty-one million, thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 151 159 265 302 318 397 453 477 530 755 794 795 906 954 1191 1359 1510 1590 1985 2265 2382 2385 2718 3573 3970 4530 4770 5955 6795 7146 8003 11910 13590 16006 17865 21041 24009 35730 40015 42082 48018 59947 63123 72027 80030 105205 119894 120045 126246 144054 157609 179841 189369 210410 240090 299735 315218 315615 359682 360135 378738 472827 539523 599470 631230 720270 788045 899205 945654 946845 1079046 1418481 1576090 1798410 1893690 2364135 2697615 2836962 3177191 4728270 5395230 6354382 7092405 8353277 9531573 14184810 15885955 16706554 19063146 23798959 25059831 28594719 31771910 41766385 47597918 47657865 50119662 57189438 71396877 75179493 83532770 95315730 118994795 125299155 142793754 142973595 150358986 214190631 237989590 250598310 285947190 356984385 375897465 428381262 713968770 751794930 1070953155 1261344827 2141906310 2522689654 3784034481 6306724135 7568068962 11352103443 12613448270 18920172405 22704206886 37840344810 56760517215 113521034430