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10045141431 = 313797014651
BaseRepresentation
bin10010101101011110…
…01011000110110111
3221221001201001112020
421112233023012313
5131033024011211
64340434124223
7503633202423
oct112657130667
927831631466
1010045141431
114295247486
121b44120673
13c41164290
146b4153b83
153dbd28306
hex256bcb1b7

10045141431 has 32 divisors (see below), whose sum is σ = 14630353920. Its totient is φ = 6093360000.

The previous prime is 10045141427. The next prime is 10045141471. The reversal of 10045141431 is 13414154001.

It is a happy number.

10045141431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10045141431 - 22 = 10045141427 is a prime.

It is a super-2 number, since 2×100451414312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045141471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157456 + ... + 2162106.

It is an arithmetic number, because the mean of its divisors is an integer number (457198560).

Almost surely, 210045141431 is an apocalyptic number.

10045141431 is a deficient number, since it is larger than the sum of its proper divisors (4585212489).

10045141431 is a wasteful number, since it uses less digits than its factorization.

10045141431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10045141431 its reverse (13414154001), we get a palindrome (23459295432).

The spelling of 10045141431 in words is "ten billion, forty-five million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 13 39 79 237 701 1027 2103 3081 4651 9113 13953 27339 55379 60463 166137 181389 367429 719927 1102287 2159781 3260351 4776577 9781053 14329731 42384563 127153689 257567729 772703187 3348380477 10045141431