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101330231200 = 25521111514799
BaseRepresentation
bin101111001011111000…
…0001001111110100000
3100200112212201002101221
41132113300021332200
53130011014344300
6114314522304424
710215025516402
oct1362760117640
9320485632357
10101330231200
1139a79301530
121777b358114
13972b2a09b3
144c939b0b72
152980dec31a
hex1797c09fa0

101330231200 has 72 divisors (see below), whose sum is σ = 269860852800. Its totient is φ = 36847353600.

The previous prime is 101330231179. The next prime is 101330231201. The reversal of 101330231200 is 2132033101.

101330231200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101330231201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5748600 + ... + 5766199.

It is an arithmetic number, because the mean of its divisors is an integer number (3748067400).

Almost surely, 2101330231200 is an apocalyptic number.

101330231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101330231200 is an abundant number, since it is smaller than the sum of its proper divisors (168530621600).

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

101330231200 is a wasteful number, since it uses less digits than its factorization.

101330231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11514830 (or 11514817 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101330231200 its reverse (2132033101), we get a palindrome (103462264301).

The spelling of 101330231200 in words is "one hundred one billion, three hundred thirty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 11514799 23029598 46059196 57573995 92118392 115147990 126662789 184236784 230295980 253325578 287869975 368473568 460591960 506651156 575739950 633313945 921183920 1013302312 1151479900 1266627890 1842367840 2026604624 2302959800 2533255780 3166569725 4053209248 4605919600 5066511560 6333139450 9211839200 10133023120 12666278900 20266046240 25332557800 50665115600 101330231200