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10301401413 = 3217416126921
BaseRepresentation
bin10011001100000001…
…01110100101000101
3222120220220102010200
421212000232211011
5132044124321123
64422110441113
7513164316162
oct114600564505
928526812120
1010301401413
114406966396
121bb5b03199
13c822890c4
146da1bd069
15404597143
hex26602e945

10301401413 has 48 divisors (see below), whose sum is σ = 16404543792. Its totient is φ = 6202368000.

The previous prime is 10301401403. The next prime is 10301401423. The reversal of 10301401413 is 31410410301.

It is an interprime number because it is at equal distance from previous prime (10301401403) and next prime (10301401423).

It can be written as a sum of positive squares in 8 ways, for example, as 56520324 + 10244881089 = 7518^2 + 101217^2 .

It is not a de Polignac number, because 10301401413 - 25 = 10301401381 is a prime.

It is a super-2 number, since 2×103014014132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301401403) 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, 369193 + ... + 396113.

It is an arithmetic number, because the mean of its divisors is an integer number (341761329).

Almost surely, 210301401413 is an apocalyptic number.

It is an amenable number.

10301401413 is a deficient number, since it is larger than the sum of its proper divisors (6103142379).

10301401413 is a wasteful number, since it uses less digits than its factorization.

10301401413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27046 (or 27043 counting only the distinct ones).

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

Adding to 10301401413 its reverse (31410410301), we get a palindrome (41711811714).

The spelling of 10301401413 in words is "ten billion, three hundred one million, four hundred one thousand, four hundred thirteen".

Divisors: 1 3 9 17 41 51 61 123 153 183 369 549 697 1037 2091 2501 3111 6273 7503 9333 22509 26921 42517 80763 127551 242289 382653 457657 1103761 1372971 1642181 3311283 4118913 4926543 9933849 14779629 18763937 27917077 56291811 67329421 83751231 168875433 201988263 251253693 605964789 1144600157 3433800471 10301401413