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1011050055540 = 2232573677218227
BaseRepresentation
bin11101011011001110100…
…01111000011101110100
310120122200211001102000100
432231213101320131310
5113031112303234130
62052245303314100
7133021522450260
oct16554721703564
93518624042010
101011050055540
1135a8694421a8
12143b4674b930
137445969a945
1436d13c270a0
151b4768e1c60
hexeb67478774

1011050055540 has 144 divisors (see below), whose sum is σ = 3505942806912. Its totient is φ = 231033247488.

The previous prime is 1011050055469. The next prime is 1011050055557. The reversal of 1011050055540 is 455500501101.

1011050055540 is a `hidden beast` number, since 1 + 0 + 1 + 105 + 0 + 0 + 5 + 554 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4523907 + ... + 4742133.

It is an arithmetic number, because the mean of its divisors is an integer number (24346825048).

Almost surely, 21011050055540 is an apocalyptic number.

1011050055540 is a gapful number since it is divisible by the number (10) 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 1011050055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752971403456).

1011050055540 is an abundant number, since it is smaller than the sum of its proper divisors (2494892751372).

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

1011050055540 is a wasteful number, since it uses less digits than its factorization.

1011050055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221926 (or 221921 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 1011050055540 its reverse (455500501101), we get a palindrome (1466550556641).

The spelling of 1011050055540 in words is "one trillion, eleven billion, fifty million, fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3677 7354 11031 14708 18385 22062 25739 33093 36770 44124 51478 55155 66186 73540 77217 102956 110310 128695 132372 154434 165465 218227 220620 231651 257390 308868 330930 386085 436454 463302 514780 654681 661860 772170 872908 926604 1091135 1158255 1309362 1527589 1544340 1964043 2182270 2316510 2618724 3055178 3273405 3928086 4364540 4582767 4633020 6110356 6546810 7637945 7856172 9165534 9820215 13093620 13748301 15275890 18331068 19640430 22913835 27496602 30551780 39280860 45827670 54993204 68741505 91655340 137483010 274966020 802420679 1604841358 2407262037 3209682716 4012103395 4814524074 5616944753 7221786111 8024206790 9629048148 11233889506 12036310185 14443572222 16048413580 16850834259 22467779012 24072620370 28084723765 28887144444 33701668518 36108930555 48145240740 50552502777 56169447530 67403337036 72217861110 84254171295 101105005554 112338895060 144435722220 168508342590 202210011108 252762513885 337016685180 505525027770 1011050055540