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11432221020 = 22325115773849
BaseRepresentation
bin10101010010110100…
…11101100101011100
31002111201202000000100
422221122131211130
5141403122033040
65130224101100
7553205163303
oct125132354534
932451660010
1011432221020
114937210950
122270764790
13110263ab2c
147a646143a
1546d9b9b30
hex2a969d95c

11432221020 has 72 divisors (see below), whose sum is σ = 37830265200. Its totient is φ = 2771447040.

The previous prime is 11432220997. The next prime is 11432221033. The reversal of 11432221020 is 2012223411.

It is a happy number.

11432221020 is a `hidden beast` number, since 1 + 1 + 432 + 2 + 210 + 20 = 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 = 11432220984 and 11432221002.

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, 2884945 + ... + 2888904.

It is an arithmetic number, because the mean of its divisors is an integer number (525420350).

Almost surely, 211432221020 is an apocalyptic number.

11432221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11432221020 is an abundant number, since it is smaller than the sum of its proper divisors (26398044180).

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

11432221020 is a wasteful number, since it uses less digits than its factorization.

11432221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773875 (or 5773870 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11432221020 its reverse (2012223411), we get a palindrome (13444444431).

The spelling of 11432221020 in words is "eleven billion, four hundred thirty-two million, two hundred twenty-one thousand, 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 5773849 11547698 17321547 23095396 28869245 34643094 51964641 57738490 63512339 69286188 86607735 103929282 115476980 127024678 173215470 190537017 207858564 254049356 259823205 317561695 346430940 381074034 519646410 571611051 635123390 762148068 952685085 1039292820 1143222102 1270246780 1905370170 2286444204 2858055255 3810740340 5716110510 11432221020