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113101343010 = 23351634675503
BaseRepresentation
bin110100101010101011…
…1011000100100100010
3101210221020010112012000
41221111113120210202
53323112420434020
6123542534144430
711112520360545
oct1512527304442
9353836115160
10113101343010
1143a6983a007
1219b054b2116
13a885ba5306
14568d04a85c
152e1e509090
hex1a555d8922

113101343010 has 128 divisors (see below), whose sum is σ = 304158965760. Its totient is φ = 29905702848.

The previous prime is 113101342999. The next prime is 113101343021. The reversal of 113101343010 is 10343101311.

113101343010 is a `hidden beast` number, since 1 + 1 + 310 + 1 + 343 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (113101342999) and next prime (113101343021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20549919 + ... + 20555421.

It is an arithmetic number, because the mean of its divisors is an integer number (2376241920).

Almost surely, 2113101343010 is an apocalyptic number.

113101343010 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 113101343010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152079482880).

113101343010 is an abundant number, since it is smaller than the sum of its proper divisors (191057622750).

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

113101343010 is a wasteful number, since it uses less digits than its factorization.

113101343010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113101343010 its reverse (10343101311), we get a palindrome (123444444321).

The spelling of 113101343010 in words is "one hundred thirteen billion, one hundred one million, three hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 163 270 326 467 489 815 934 978 1401 1467 1630 2335 2445 2802 2934 4203 4401 4670 4890 5503 7005 7335 8406 8802 11006 12609 14010 14670 16509 21015 22005 25218 27515 33018 42030 44010 49527 55030 63045 76121 82545 99054 126090 148581 152242 165090 228363 247635 297162 380605 456726 495270 685089 742905 761210 896989 1141815 1370178 1485810 1793978 2055267 2283630 2569901 2690967 3425445 4110534 4484945 5139802 5381934 6850890 7709703 8072901 8969890 10276335 12849505 13454835 15419406 16145802 20552670 23129109 24218703 25699010 26909670 38548515 40364505 46258218 48437406 69387327 77097030 80729010 115645545 121093515 138774654 231291090 242187030 346936635 418893863 693873270 837787726 1256681589 2094469315 2513363178 3770044767 4188938630 6283407945 7540089534 11310134301 12566815890 18850223835 22620268602 37700447670 56550671505 113101343010