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201330431412 = 2231110131505657
BaseRepresentation
bin1011101110000000111…
…0101001010110110100
3201020200001201121021220
42323200032221112310
511244311042301122
6232253453510340
720355104300535
oct2734016512664
9636601647256
10201330431412
1178424863aa0
12330291a23b0
1315ca6b505b6
149a5ca8468c
15538517625c
hex2ee03a95b4

201330431412 has 48 divisors (see below), whose sum is σ = 512983703232. Its totient is φ = 60948954880.

The previous prime is 201330431411. The next prime is 201330431429. The reversal of 201330431412 is 214134033102.

It is a happy number.

201330431412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013304314122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201330431411) 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 15 ways as a sum of consecutive naturals, for example, 619113 + ... + 886544.

It is an arithmetic number, because the mean of its divisors is an integer number (10687160484).

Almost surely, 2201330431412 is an apocalyptic number.

201330431412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201330431412 is an abundant number, since it is smaller than the sum of its proper divisors (311653271820).

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

201330431412 is a wasteful number, since it uses less digits than its factorization.

201330431412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506688 (or 1506686 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 201330431412 its reverse (214134033102), we get a palindrome (415464464514).

The spelling of 201330431412 in words is "two hundred one billion, three hundred thirty million, four hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1013 2026 3039 4052 6078 11143 12156 22286 33429 44572 66858 133716 1505657 3011314 4516971 6022628 9033942 16562227 18067884 33124454 49686681 66248908 99373362 198746724 1525230541 3050461082 4575691623 6100922164 9151383246 16777535951 18302766492 33555071902 50332607853 67110143804 100665215706 201330431412