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2201023131132 = 2237612231926241
BaseRepresentation
bin100000000001110111001…
…100111010110111111100
321210102020002022222112010
4200001313030322313330
5242030143410144012
64403045220211220
7315006255632460
oct40016714726774
97712202288463
102201023131132
117794a31a4601
122b66a6239b10
1312c72b82c087
147875c7c04a0
153c3c11a1c3c
hex2007733adfc

2201023131132 has 96 divisors (see below), whose sum is σ = 5992369352704. Its totient is φ = 615780403200.

The previous prime is 2201023131107. The next prime is 2201023131143. The reversal of 2201023131132 is 2311313201022.

It is a super-2 number, since 2×22010231311322 (a number of 25 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 = 2201023131099 and 2201023131108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179532 + ... + 2105772.

Almost surely, 22201023131132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201023131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996184676352).

2201023131132 is an abundant number, since it is smaller than the sum of its proper divisors (3791346221572).

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

2201023131132 is a wasteful number, since it uses less digits than its factorization.

2201023131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926539 (or 1926537 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2201023131132 its reverse (2311313201022), we get a palindrome (4512336332154).

The spelling of 2201023131132 in words is "two trillion, two hundred one billion, twenty-three million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 223 244 366 427 446 669 732 854 892 1281 1338 1561 1708 2562 2676 3122 4683 5124 6244 9366 13603 18732 27206 40809 54412 81618 95221 163236 190442 285663 380884 571326 1142652 1926241 3852482 5778723 7704964 11557446 13483687 23114892 26967374 40451061 53934748 80902122 117500701 161804244 235001402 352502103 429551743 470002804 705004206 822504907 859103486 1288655229 1410008412 1645009814 1718206972 2467514721 2577310458 3006862201 3290019628 4935029442 5154620916 6013724402 9020586603 9870058884 12027448804 18041173206 26202656323 36082346412 52405312646 78607968969 104810625292 157215937938 183418594261 314431875876 366837188522 550255782783 733674377044 1100511565566 2201023131132