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1011042491292 = 2233113660712539
BaseRepresentation
bin11101011011001101101…
…01000001101110011100
310120122200021211002211000
432231212311001232130
5113031103334210132
62052244433230300
7133021401244131
oct16554665015634
93518607732730
101011042491292
1135a865146059
12143b44102390
1374457c4c962
1436d12c18588
151b475dea87c
hexeb66d41b9c

1011042491292 has 96 divisors (see below), whose sum is σ = 2645029094400. Its totient is φ = 333954544896.

The previous prime is 1011042491267. The next prime is 1011042491297. The reversal of 1011042491292 is 2921942401101.

1011042491292 is a `hidden beast` number, since 10 + 110 + 4 + 249 + 1 + 292 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011042491297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80625559 + ... + 80638097.

It is an arithmetic number, because the mean of its divisors is an integer number (27552386400).

Almost surely, 21011042491292 is an apocalyptic number.

1011042491292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011042491292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322514547200).

1011042491292 is an abundant number, since it is smaller than the sum of its proper divisors (1633986603108).

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

1011042491292 is a wasteful number, since it uses less digits than its factorization.

1011042491292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19272 (or 19264 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 1011042491292 its reverse (2921942401101), we get a palindrome (3932984892393).

The spelling of 1011042491292 in words is "one trillion, eleven billion, forty-two million, four hundred ninety-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 6607 12204 12539 13214 19821 25078 26428 37617 39642 50156 59463 75234 79284 112851 118926 150468 178389 225702 237852 338553 356778 451404 677106 713556 746591 1354212 1416907 1493182 2239773 2833814 2986364 4250721 4479546 5667628 6719319 8501442 8959092 12752163 13438638 17002884 20157957 25504326 26877276 38256489 40315914 51008652 76512978 80631828 82845173 153025956 165690346 248535519 331380692 497071038 745606557 994142076 1491213114 2236819671 2982426228 4473639342 8947278684 9361504549 18723009098 28084513647 37446018196 56169027294 84253540941 112338054588 168507081882 252760622823 337014163764 505521245646 1011042491292