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113410300120 = 235134334914533
BaseRepresentation
bin110100110011111000…
…1111101100011011000
3101211201202111011122221
41221213301331203120
53324231014100440
6124033332153424
711123261434255
oct1514761754330
9354652434587
10113410300120
1144108181067
1219b90a68874
13a904bbb080
1456bc0b242c
152e3b6d6d4a
hex1a67c7d8d8

113410300120 has 128 divisors (see below), whose sum is σ = 282017736000. Its totient is φ = 40780744704.

The previous prime is 113410300109. The next prime is 113410300147. The reversal of 113410300120 is 21003014311.

It is a junction number, because it is equal to n+sod(n) for n = 113410300094 and 113410300103.

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, 7796374 + ... + 7810906.

Almost surely, 2113410300120 is an apocalyptic number.

113410300120 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 113410300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141008868000).

113410300120 is an abundant number, since it is smaller than the sum of its proper divisors (168607435880).

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

113410300120 is a wasteful number, since it uses less digits than its factorization.

113410300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14949 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113410300120 its reverse (21003014311), we get a palindrome (134413314431).

The spelling of 113410300120 in words is "one hundred thirteen billion, four hundred ten million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 349 430 520 559 698 860 1118 1396 1720 1745 2236 2792 2795 3490 4472 4537 5590 6980 9074 11180 13960 14533 15007 18148 22360 22685 29066 30014 36296 45370 58132 60028 72665 75035 90740 116264 120056 145330 150070 181480 188929 195091 290660 300140 377858 390182 581320 600280 624919 755716 780364 944645 975455 1249838 1511432 1560728 1889290 1950910 2499676 3124595 3778580 3901820 4999352 5072017 6249190 7557160 7803640 8123947 10144034 12498380 16247894 20288068 24996760 25360085 32495788 40576136 40619735 50720170 64991576 65936221 81239470 101440340 131872442 162478940 202880680 218096731 263744884 324957880 329681105 436193462 527489768 659362210 872386924 1090483655 1318724420 1744773848 2180967310 2637448840 2835257503 4361934620 5670515006 8723869240 11341030012 14176287515 22682060024 28352575030 56705150060 113410300120