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1131022124016 = 24354767364007
BaseRepresentation
bin10000011101010110001…
…011000000001111110000
311000010100212122221122220
4100131112023000033300
5122012313130432031
62223330121201040
7144466532300541
oct20352613001760
94003325587586
101131022124016
113a6733559a14
12163249030180
1382868b55685
143ca5557c4c8
151e6491cb596
hex107562c03f0

1131022124016 has 80 divisors (see below), whose sum is σ = 2931543869184. Its totient is φ = 375753111552.

The previous prime is 1131022123993. The next prime is 1131022124021. The reversal of 1131022124016 is 6104212201311.

It is a super-2 number, since 2×11310221240162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17638285 + ... + 17702291.

Almost surely, 21131022124016 is an apocalyptic number.

1131022124016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1131022124016 is an abundant number, since it is smaller than the sum of its proper divisors (1800521745168).

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

1131022124016 is a wasteful number, since it uses less digits than its factorization.

1131022124016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65238 (or 65232 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1131022124016 its reverse (6104212201311), we get a palindrome (7235234325327).

The spelling of 1131022124016 in words is "one trillion, one hundred thirty-one billion, twenty-two million, one hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 547 673 1094 1346 1641 2019 2188 2692 3282 4038 4376 5384 6564 8076 8752 10768 13128 16152 26256 32304 64007 128014 192021 256028 368131 384042 512056 736262 768084 1024112 1104393 1472524 1536168 2208786 2945048 3072336 4417572 5890096 8835144 17670288 35011829 43076711 70023658 86153422 105035487 129230133 140047316 172306844 210070974 258460266 280094632 344613688 420141948 516920532 560189264 689227376 840283896 1033841064 1680567792 2067682128 23562960917 47125921834 70688882751 94251843668 141377765502 188503687336 282755531004 377007374672 565511062008 1131022124016