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1133011020294 = 234101494314009
BaseRepresentation
bin10000011111001100101…
…110000010101000000110
311000022111111010100110000
4100133030232002220012
5122030401310122134
62224255330142130
7144600032525136
oct20371456025006
94008444110400
101133011020294
113a756420214a
12163703121946
1382ac4c1298a
143cba3786ac6
151e713ae8e99
hex107ccb82a06

1133011020294 has 80 divisors (see below), whose sum is σ = 2564622181440. Its totient is φ = 373828694400.

The previous prime is 1133011020293. The next prime is 1133011020319. The reversal of 1133011020294 is 4920201103311.

1133011020294 is a `hidden beast` number, since 11 + 330 + 1 + 10 + 20 + 294 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133011020293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80870362 + ... + 80884370.

It is an arithmetic number, because the mean of its divisors is an integer number (32057777268).

Almost surely, 21133011020294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133011020294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282311090720).

1133011020294 is an abundant number, since it is smaller than the sum of its proper divisors (1431611161146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1133011020294 is a wasteful number, since it uses less digits than its factorization.

1133011020294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19067 (or 19058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1133011020294 in words is "one trillion, one hundred thirty-three billion, eleven million, twenty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 4943 5454 8181 9886 14009 14829 16362 28018 29658 42027 44487 84054 88974 126081 133461 252162 266922 378243 400383 499243 756486 800766 998486 1134729 1414909 1497729 2269458 2829818 2995458 4244727 4493187 8489454 8986374 12734181 13479561 25468362 26959122 38202543 40438683 69246487 76405086 80877366 114607629 138492974 207739461 229215258 415478922 623218383 1246436766 1869655149 3739310298 5608965447 6993895187 11217930894 13987790374 20981685561 41963371122 62945056683 125890113366 188835170049 377670340098 566505510147 1133011020294