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242200222131 = 37411513894789
BaseRepresentation
bin1110000110010001000…
…0100001100110110011
3212011011100110002100110
43201210100201212303
512432011224102011
6303133143152403
723332642630410
oct3414420414663
9764140402313
10242200222131
119379779073a
123ab34445703
1319abb18020a
14ba18987107
1564781bdba6
hex38644219b3

242200222131 has 64 divisors (see below), whose sum is σ = 381630412800. Its totient is φ = 133757568000.

The previous prime is 242200222123. The next prime is 242200222133. The reversal of 242200222131 is 131222002242.

It is not a de Polignac number, because 242200222131 - 23 = 242200222123 is a prime.

It is a super-2 number, since 2×2422002221312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 242200222098 and 242200222107.

It is not an unprimeable number, because it can be changed into a prime (242200222133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50571885 + ... + 50576673.

It is an arithmetic number, because the mean of its divisors is an integer number (5962975200).

Almost surely, 2242200222131 is an apocalyptic number.

242200222131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242200222131 is a deficient number, since it is larger than the sum of its proper divisors (139430190669).

242200222131 is a wasteful number, since it uses less digits than its factorization.

242200222131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 242200222131 its reverse (131222002242), we get a palindrome (373422224373).

The spelling of 242200222131 in words is "two hundred forty-two billion, two hundred million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 41 123 151 287 389 453 861 1057 1167 2723 3171 4789 6191 8169 14367 15949 18573 33523 43337 47847 58739 100569 111643 130011 176217 196349 334929 411173 589047 723139 1233519 1374443 1862921 2169417 2408299 4123329 5061973 5588763 7224897 13040447 15185919 16858093 29648699 39121341 50574279 76379761 88946097 207540893 229139283 281301071 534658327 622622679 843903213 1603974981 1969107497 5907322491 11533343911 34600031733 80733407377 242200222131