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113120103000 = 2335340999199
BaseRepresentation
bin110100101011001111…
…0111100101001011000
3101210222112102122001110
41221112132330221120
53323132221244000
6123544444220320
711113136003442
oct1512636745130
9353875378043
10113120103000
1143a79392733
1219b0b83a6a0
13a889a431b8
145691731492
152e20eb2850
hex1a567bca58

113120103000 has 128 divisors (see below), whose sum is σ = 353059200000. Its totient is φ = 30154723200.

The previous prime is 113120102993. The next prime is 113120103007. The reversal of 113120103000 is 301021311.

It is an interprime number because it is at equal distance from previous prime (113120102993) and next prime (113120103007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113120103007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12292401 + ... + 12301599.

It is an arithmetic number, because the mean of its divisors is an integer number (2758275000).

Almost surely, 2113120103000 is an apocalyptic number.

113120103000 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 113120103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176529600000).

113120103000 is an abundant number, since it is smaller than the sum of its proper divisors (239939097000).

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

113120103000 is a wasteful number, since it uses less digits than its factorization.

113120103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 113120103000 its reverse (301021311), we get a palindrome (113421124311).

The spelling of 113120103000 in words is "one hundred thirteen billion, one hundred twenty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4099 8198 9199 12297 16396 18398 20495 24594 27597 32792 36796 40990 45995 49188 55194 61485 73592 81980 91990 98376 102475 110388 122970 137985 163960 183980 204950 220776 229975 245940 275970 307425 367960 409900 459950 491880 512375 551940 614850 689925 819800 919900 1024750 1103880 1149875 1229700 1379850 1537125 1839800 2049500 2299750 2459400 2759700 3074250 3449625 4099000 4599500 5519400 6148500 6899250 9199000 12297000 13798500 27597000 37706701 75413402 113120103 150826804 188533505 226240206 301653608 377067010 452480412 565600515 754134020 904960824 942667525 1131201030 1508268040 1885335050 2262402060 2828002575 3770670100 4524804120 4713337625 5656005150 7541340200 9426675250 11312010300 14140012875 18853350500 22624020600 28280025750 37706701000 56560051500 113120103000