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201132231102 = 232113758746771
BaseRepresentation
bin1011101101010001101…
…0100100100110111110
3201020011020202222120200
42323110122210212332
511243404322343402
6232222053424330
720350146520215
oct2732432444676
9636136688520
10201132231102
11783329a0190
1232b9293b0a6
1315c74a764ca
149a4061007c
155372a7521c
hex2ed46a49be

201132231102 has 96 divisors (see below), whose sum is σ = 489094429824. Its totient is φ = 59199595200.

The previous prime is 201132231089. The next prime is 201132231103.

201132231102 is a `hidden beast` number, since 20 + 11 + 322 + 311 + 0 + 2 = 666.

201132231102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2011322311022 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201132231103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4276977 + ... + 4323747.

It is an arithmetic number, because the mean of its divisors is an integer number (5094733644).

Almost surely, 2201132231102 is an apocalyptic number.

201132231102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201132231102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244547214912).

201132231102 is an abundant number, since it is smaller than the sum of its proper divisors (287962198722).

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

201132231102 is a wasteful number, since it uses less digits than its factorization.

201132231102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47414 (or 47411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 201132 and 231102, that added together give a palindrome (432234).

The spelling of 201132231102 in words is "two hundred one billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 587 666 814 1174 1221 1761 2442 3522 3663 5283 6457 7326 10566 12914 19371 21719 38742 43438 46771 58113 65157 93542 116226 130314 140313 195471 238909 280626 390942 420939 477818 514481 716727 841878 1028962 1433454 1543443 1730527 2150181 3086886 3461054 4300362 4630329 5191581 9260658 10383162 15574743 19035797 27454577 31149486 38071594 54909154 57107391 82363731 114214782 164727462 171322173 247091193 302000347 342644346 494182386 604000694 906001041 1015819349 1812002082 2031638698 2718003123 3047458047 5436006246 6094916094 9142374141 11174012839 18284748282 22348025678 33522038517 67044077034 100566115551 201132231102