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1032010232231 = 112370917213343
BaseRepresentation
bin11110000010010001001…
…10100111000110100111
310122122210120022201001202
433001020212213012213
5113402024104412411
62110033212513115
7134363114144156
oct17011046470647
93578716281052
101032010232231
11368744965180
1214801617b79b
1376419c7b464
1437d4185159d
151bca1ac483b
hexf0489a71a7

1032010232231 has 32 divisors (see below), whose sum is σ = 1177471088640. Its totient is φ = 895345862400.

The previous prime is 1032010232207. The next prime is 1032010232249. The reversal of 1032010232231 is 1322320102301.

It is a de Polignac number, because none of the positive numbers 2k-1032010232231 is a prime.

It is a super-2 number, since 2×10320102322312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032010232291) 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 31 ways as a sum of consecutive naturals, for example, 308706146 + ... + 308709488.

It is an arithmetic number, because the mean of its divisors is an integer number (36795971520).

Almost surely, 21032010232231 is an apocalyptic number.

1032010232231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1032010232231 is a deficient number, since it is larger than the sum of its proper divisors (145460856409).

1032010232231 is a wasteful number, since it uses less digits than its factorization.

1032010232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1032010232231 its reverse (1322320102301), we get a palindrome (2354330334532).

The spelling of 1032010232231 in words is "one trillion, thirty-two billion, ten million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 23 253 709 1721 3343 7799 16307 18931 36773 39583 76889 179377 435413 845779 1220189 2370187 5753303 13422079 26072057 28064347 54514301 63286333 132325969 308707817 599657311 1455585659 4079091827 44870010097 93819112021 1032010232231