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1131392988 = 223311312991
BaseRepresentation
bin100001101101111…
…1010111111011100
32220211220201102000
41003123322333130
54304114033423
6304133402300
740015452555
oct10333727734
92824821360
101131392988
11530707330
12276a99390
13150522a0b
14aa39132c
15694d7843
hex436fafdc

1131392988 has 144 divisors (see below), whose sum is σ = 3309788160. Its totient is φ = 331452000.

The previous prime is 1131392987. The next prime is 1131392989. The reversal of 1131392988 is 8892931311.

It is an interprime number because it is at equal distance from previous prime (1131392987) and next prime (1131392989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131392987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141173 + ... + 1142163.

It is an arithmetic number, because the mean of its divisors is an integer number (22984640).

Almost surely, 21131392988 is an apocalyptic number.

1131392988 is a gapful number since it is divisible by the number (18) 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 1131392988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654894080).

1131392988 is an abundant number, since it is smaller than the sum of its proper divisors (2178395172).

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

1131392988 is a wasteful number, since it uses less digits than its factorization.

1131392988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1038 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 1131392988 is about 33636.1856933868. The cubic root of 1131392988 is about 1042.0082583283.

The spelling of 1131392988 in words is "one billion, one hundred thirty-one million, three hundred ninety-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 961 991 1023 1116 1188 1364 1674 1922 1982 2046 2883 2973 3069 3348 3844 3964 4092 5766 5946 6138 8649 8919 9207 10571 10901 11532 11892 12276 17298 17838 18414 21142 21802 25947 26757 30721 31713 32703 34596 35676 36828 42284 43604 51894 53514 61442 63426 65406 92163 95139 98109 103788 107028 122884 126852 130812 184326 190278 196218 276489 285417 294327 337931 368652 380556 392436 552978 570834 588654 675862 829467 952351 1013793 1105956 1141668 1177308 1351724 1658934 1904702 2027586 2857053 3041379 3317868 3809404 4055172 5714106 6082758 8571159 9124137 10475861 11428212 12165516 17142318 18248274 20951722 25713477 31427583 34284636 36496548 41903444 51426954 62855166 94282749 102853908 125710332 188565498 282848247 377130996 565696494 1131392988