Search a number
-
+
1111331111220 = 2232511561278339
BaseRepresentation
bin10000001011000000011…
…111110000000100110100
310221020112120112212011200
4100023000133300010310
5121202001231024340
62210312150332500
7143201551404141
oct20130037600464
93836476485150
101111331111220
11399349492620
1215b47265a130
1380a4b4a4405
143bb083293c8
151dd95647330
hex102c07f0134

1111331111220 has 72 divisors (see below), whose sum is σ = 3677495683680. Its totient is φ = 269413602240.

The previous prime is 1111331111203. The next prime is 1111331111251. The reversal of 1111331111220 is 221111331111.

1111331111220 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 331 + 111 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1111331111193 and 1111331111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280637190 + ... + 280641149.

It is an arithmetic number, because the mean of its divisors is an integer number (51076328940).

Almost surely, 21111331111220 is an apocalyptic number.

1111331111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111331111220 is an abundant number, since it is smaller than the sum of its proper divisors (2566164572460).

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

1111331111220 is a wasteful number, since it uses less digits than its factorization.

1111331111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561278365 (or 561278360 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1111331111220 its reverse (221111331111), we get a palindrome (1332442442331).

It can be divided in two parts, 111 and 1331111220, that added together give a palindrome (1331111331).

The spelling of 1111331111220 in words is "one trillion, one hundred eleven billion, three hundred thirty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 561278339 1122556678 1683835017 2245113356 2806391695 3367670034 5051505051 5612783390 6174061729 6735340068 8419175085 10103010102 11225566780 12348123458 16838350170 18522185187 20206020204 24696246916 25257525255 30870308645 33676700340 37044370374 50515050510 55566555561 61740617290 74088740748 92610925935 101030101020 111133111122 123481234580 185221851870 222266222244 277832777805 370443703740 555665555610 1111331111220