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131102012200 = 23522238833329
BaseRepresentation
bin111101000011001001…
…0011111001100101000
3110112101201120021011111
41322012102133030220
54121444103342300
6140121043040104
712320554500625
oct1720622371450
9415351507144
10131102012200
1150666739215
12214a9970034
13c4942ab363
1464b99ad34c
1536249959ba
hex1e8649f328

131102012200 has 96 divisors (see below), whose sum is σ = 306617875200. Its totient is φ = 52130856960.

The previous prime is 131102012137. The next prime is 131102012203. The reversal of 131102012200 is 2210201131.

It is not an unprimeable number, because it can be changed into a prime (131102012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39380136 + ... + 39383464.

It is an arithmetic number, because the mean of its divisors is an integer number (3193936200).

Almost surely, 2131102012200 is an apocalyptic number.

131102012200 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 131102012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153308937600).

131102012200 is an abundant number, since it is smaller than the sum of its proper divisors (175515863000).

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

131102012200 is a wasteful number, since it uses less digits than its factorization.

131102012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 131102012200 its reverse (2210201131), we get a palindrome (133312213331).

The spelling of 131102012200 in words is "one hundred thirty-one billion, one hundred two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 883 892 1115 1766 1784 2230 3329 3532 4415 4460 5575 6658 7064 8830 8920 11150 13316 16645 17660 22075 22300 26632 33290 35320 44150 44600 66580 83225 88300 133160 166450 176600 196909 332900 393818 665800 742367 787636 984545 1484734 1575272 1969090 2939507 2969468 3711835 3938180 4922725 5879014 5938936 7423670 7876360 9845450 11758028 14697535 14847340 18559175 19690900 23516056 29395070 29694680 37118350 39381800 58790140 73487675 74236700 117580280 146975350 148473400 293950700 587901400 655510061 1311020122 2622040244 3277550305 5244080488 6555100610 13110201220 16387751525 26220402440 32775503050 65551006100 131102012200