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1140121244031 = 371185916093571
BaseRepresentation
bin10000100101110100100…
…001011001000101111111
311000222212000021010202220
4100211310201121011333
5122134432014302111
62231433043020423
7145241160450330
oct20456441310577
94028760233686
101140121244031
113aa5827a0510
12164b6836a713
1383688ccba63
143d279bd6287
151e9cce36e06
hex1097485917f

1140121244031 has 64 divisors (see below), whose sum is σ = 1899183820800. Its totient is φ = 591048057600.

The previous prime is 1140121244021. The next prime is 1140121244039. The reversal of 1140121244031 is 1304421210411.

It is a happy number.

It is not a de Polignac number, because 1140121244031 - 219 = 1140120719743 is a prime.

It is a super-2 number, since 2×11401212440312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140121243992 and 1140121244010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140121244039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319270476 + ... + 319274046.

It is an arithmetic number, because the mean of its divisors is an integer number (29674747200).

Almost surely, 21140121244031 is an apocalyptic number.

1140121244031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1140121244031 is a deficient number, since it is larger than the sum of its proper divisors (759062576769).

1140121244031 is a wasteful number, since it uses less digits than its factorization.

1140121244031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6060.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1140121244031 its reverse (1304421210411), we get a palindrome (2444542454442).

The spelling of 1140121244031 in words is "one trillion, one hundred forty billion, one hundred twenty-one million, two hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 11 21 33 77 231 859 1609 2577 3571 4827 6013 9449 10713 11263 17699 18039 24997 28347 33789 39281 53097 66143 74991 117843 123893 198429 274967 371679 824901 1382131 3067489 4146393 5745739 9202467 9674917 15203441 17237217 21472423 29024751 33742379 40220173 45610323 63203129 64417269 101227137 106424087 120660519 189609387 236196653 319272261 442421903 708589959 1327265709 4935589801 14806769403 34549128607 54291487811 103647385821 162874463433 380040414677 1140121244031