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1131022124040 = 233535326700239
BaseRepresentation
bin10000011101010110001…
…011000000010000001000
311000010100212122221200210
4100131112023000100020
5122012313130432130
62223330121201120
7144466532300604
oct20352613002010
94003325587623
101131022124040
113a6733559a36
121632490301a0
1382868b556a3
143ca5557c504
151e6491cb5b0
hex107562c0408

1131022124040 has 64 divisors (see below), whose sum is σ = 3402678585600. Its totient is φ = 300751480832.

The previous prime is 1131022124021. The next prime is 1131022124087. The reversal of 1131022124040 is 404212201311.

It is a super-2 number, since 2×11310221240402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131022123998 and 1131022124016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13307760 + ... + 13392479.

It is an arithmetic number, because the mean of its divisors is an integer number (53166852900).

Almost surely, 21131022124040 is an apocalyptic number.

1131022124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131022124040 is an abundant number, since it is smaller than the sum of its proper divisors (2271656461560).

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

1131022124040 is a wasteful number, since it uses less digits than its factorization.

1131022124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26700606 (or 26700602 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1131022124040 its reverse (404212201311), we get a palindrome (1535234325351).

The spelling of 1131022124040 in words is "one trillion, one hundred thirty-one billion, twenty-two million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 706 1059 1412 1765 2118 2824 3530 4236 5295 7060 8472 10590 14120 21180 42360 26700239 53400478 80100717 106800956 133501195 160201434 213601912 267002390 320402868 400503585 534004780 640805736 801007170 1068009560 1602014340 3204028680 9425184367 18850368734 28275553101 37700737468 47125921835 56551106202 75401474936 94251843670 113102212404 141377765505 188503687340 226204424808 282755531010 377007374680 565511062020 1131022124040