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10144352331 = 332332295059
BaseRepresentation
bin10010111001010011…
…01000100001001011
3222011222101111022000
421130221220201023
5131233423233311
64354340402043
7506246400141
oct113451504113
928158344260
1010144352331
11433624a063
121b713a6323
13c5888c859
146c33bb591
153e58c4056
hex25ca6884b

10144352331 has 32 divisors (see below), whose sum is σ = 15690048000. Its totient is φ = 6465580704.

The previous prime is 10144352327. The next prime is 10144352333. The reversal of 10144352331 is 13325344101.

It is a happy number.

10144352331 is a `hidden beast` number, since 101 + 4 + 4 + 3 + 523 + 31 = 666.

It is not a de Polignac number, because 10144352331 - 22 = 10144352327 is a prime.

It is a super-2 number, since 2×101443523312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10144352295 and 10144352304.

It is not an unprimeable number, because it can be changed into a prime (10144352333) 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, 2002680 + ... + 2007738.

It is an arithmetic number, because the mean of its divisors is an integer number (490314000).

Almost surely, 210144352331 is an apocalyptic number.

10144352331 is a deficient number, since it is larger than the sum of its proper divisors (5545695669).

10144352331 is a wasteful number, since it uses less digits than its factorization.

10144352331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10144352331 its reverse (13325344101), we get a palindrome (23469696432).

The spelling of 10144352331 in words is "ten billion, one hundred forty-four million, three hundred fifty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 23 27 69 207 621 3229 5059 9687 15177 29061 45531 74267 87183 116357 136593 222801 349071 668403 1047213 2005209 3141639 16335511 49006533 147019599 375716753 441058797 1127150259 3381450777 10144352331