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1131133002021 = 321117672093287
BaseRepresentation
bin10000011101011100110…
…001111110000100100101
311000010122121022010200200
4100131130301332010211
5122013030022031041
62223345121501113
7144502346610201
oct20353461760445
94003577263620
101131133002021
113a6790100230
1216327a1a1799
1382885b07569
143ca661a1b01
151e653cce1b6
hex1075cc7e125

1131133002021 has 24 divisors (see below), whose sum is σ = 1887237952704. Its totient is φ = 645209554560.

The previous prime is 1131133002011. The next prime is 1131133002053. The reversal of 1131133002021 is 1202003311311.

1131133002021 is a `hidden beast` number, since 1 + 1 + 311 + 330 + 0 + 2 + 0 + 21 = 666.

It is not a de Polignac number, because 1131133002021 - 210 = 1131133000997 is a prime.

It is a super-2 number, since 2×11311330020212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1131133001985 and 1131133002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131133002011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336044961 + ... + 336048326.

It is an arithmetic number, because the mean of its divisors is an integer number (78634914696).

Almost surely, 21131133002021 is an apocalyptic number.

1131133002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1131133002021 is a deficient number, since it is larger than the sum of its proper divisors (756104950683).

1131133002021 is a wasteful number, since it uses less digits than its factorization.

1131133002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672093321 (or 672093318 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131133002021 its reverse (1202003311311), we get a palindrome (2333136313332).

The spelling of 1131133002021 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-three million, two thousand, twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 672093287 2016279861 6048839583 7393026157 11425585879 22179078471 34276757637 66537235413 102830272911 125681444669 377044334007 1131133002021