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113302434740 = 225117120113607
BaseRepresentation
bin110100110000101011…
…0011111001110110100
3101211110020112001011212
41221201112133032310
53324020410402430
6124014520220552
711120511543035
oct1514126371664
9354406461155
10113302434740
11440622a8220
1219b6090a758
13a8b87524c1
1456aba34a8c
152e31ecbb95
hex1a6159f3b4

113302434740 has 96 divisors (see below), whose sum is σ = 263425333248. Its totient is φ = 40589136000.

The previous prime is 113302434709. The next prime is 113302434757. The reversal of 113302434740 is 47434203311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113302434697 and 113302434706.

It is a congruent number.

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, 31410017 + ... + 31413623.

It is an arithmetic number, because the mean of its divisors is an integer number (2744013888).

Almost surely, 2113302434740 is an apocalyptic number.

113302434740 is a gapful number since it is divisible by the number (10) 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 113302434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131712666624).

113302434740 is an abundant number, since it is smaller than the sum of its proper divisors (150122898508).

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

113302434740 is a wasteful number, since it uses less digits than its factorization.

113302434740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 113302434740 in words is "one hundred thirteen billion, three hundred two million, four hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 2011 3124 3607 3905 4022 7214 7810 8044 10055 14428 15620 18035 20110 22121 36070 39677 40220 44242 72140 79354 88484 110605 142781 158708 198385 221210 256097 285562 396770 442420 512194 571124 713905 793540 1024388 1280485 1427810 1570591 2560970 2817067 2855620 3141182 5121940 5634134 6282364 7253677 7852955 11268268 14085335 14507354 15705910 28170670 29014708 31411820 36268385 56341340 72536770 79790447 145073540 159580894 319161788 398952235 515011067 797904470 1030022134 1595808940 2060044268 2575055335 5150110670 5665121737 10300221340 11330243474 22660486948 28325608685 56651217370 113302434740