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1131025400550 = 23452927730103
BaseRepresentation
bin10000011101010110010…
…111100000001011100110
311000010101002211102020000
4100131112113200023212
5122012320000304200
62223330315322130
7144466602165243
oct20352627401346
94003332742200
101131025400550
113a67353976a1
1216324a150346
1382869731b56
143ca55b925ca
151e649627300
hex107565e02e6

1131025400550 has 120 divisors (see below), whose sum is σ = 3143018174736. Its totient is φ = 301564244160.

The previous prime is 1131025400497. The next prime is 1131025400569. The reversal of 1131025400550 is 550045201311.

1131025400550 is a `hidden beast` number, since 1 + 1 + 3 + 102 + 5 + 4 + 0 + 0 + 550 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37556799 + ... + 37586901.

Almost surely, 21131025400550 is an apocalyptic number.

1131025400550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131025400550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571509087368).

1131025400550 is an abundant number, since it is smaller than the sum of its proper divisors (2011992774186).

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

1131025400550 is a wasteful number, since it uses less digits than its factorization.

1131025400550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39404 (or 39390 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1131025400550 in words is "one trillion, one hundred thirty-one billion, twenty-five million, four hundred thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 9277 18554 27831 30103 46385 55662 60206 83493 90309 92770 139155 150515 166986 180618 231925 250479 270927 278310 301030 417465 451545 463850 500958 541854 695775 751437 752575 812781 834930 903090 1252395 1354635 1391550 1502874 1505150 1625562 2087325 2257725 2438343 2504790 2709270 3757185 4063905 4174650 4515450 4876686 6261975 6773175 7514370 8127810 12191715 12523950 13546350 18785925 20319525 24383430 37571850 40639050 60958575 121917150 279265531 558531062 837796593 1396327655 1675593186 2513389779 2792655310 4188982965 5026779558 6981638275 7540169337 8377965930 12566948895 13963276550 15080338674 20944914825 22620508011 25133897790 37700846685 41889829650 45241016022 62834744475 75401693370 113102540055 125669488950 188504233425 226205080110 377008466850 565512700275 1131025400550