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1141020112431 = 3173312497259
BaseRepresentation
bin10000100110101010000…
…110010011011000101111
311001002011122122101102010
4100212222012103120233
5122143302122044211
62232102152532303
7145302353634033
oct20465206233057
94032148571363
101141020112431
113aa9a411a661
121651793b1093
13837a02ba354
143d32333a1c3
151ea31cdd4a6
hex109aa19362f

1141020112431 has 32 divisors (see below), whose sum is σ = 1668569241600. Its totient is φ = 692839259520.

The previous prime is 1141020112417. The next prime is 1141020112433. The reversal of 1141020112431 is 1342110201411.

It is not a de Polignac number, because 1141020112431 - 217 = 1141019981359 is a prime.

It is a super-2 number, since 2×11410201124312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1141020112398 and 1141020112407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141020112433) 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, 791721 + ... + 1705538.

It is an arithmetic number, because the mean of its divisors is an integer number (52142788800).

Almost surely, 21141020112431 is an apocalyptic number.

1141020112431 is a deficient number, since it is larger than the sum of its proper divisors (527549129169).

1141020112431 is an equidigital number, since it uses as much as digits as its factorization.

1141020112431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497344 (or 2497310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1141020112431 its reverse (1342110201411), we get a palindrome (2483130313842).

The spelling of 1141020112431 in words is "one trillion, one hundred forty-one billion, twenty million, one hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 17 31 51 93 289 527 867 1581 4913 8959 14739 26877 152303 456909 2497259 7491777 42453403 77415029 127360209 232245087 721707851 1316055493 2165123553 3948166479 12269033467 22372943381 36807100401 67118830143 380340037477 1141020112431