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23032201320 = 23325577110881
BaseRepresentation
bin10101011100110100…
…111000000001101000
32012110011011001111100
4111130310320001220
5334132220420240
614325244001400
71443521323662
oct253464700150
965404131440
1023032201320
11984a093827
124569530260
1322309550bb
141186cb1532
158ec070e30
hex55cd38068

23032201320 has 96 divisors (see below), whose sum is σ = 74985061320. Its totient is φ = 6131220480.

The previous prime is 23032201279. The next prime is 23032201321. The reversal of 23032201320 is 2310223032.

It is a happy number.

23032201320 is a `hidden beast` number, since 23 + 0 + 322 + 0 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22994083044 + 38118276 = 151638^2 + 6174^2 .

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 = 23032201293 and 23032201302.

It is not an unprimeable number, because it can be changed into a prime (23032201321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152280 + ... + 263160.

Almost surely, 223032201320 is an apocalyptic number.

23032201320 is a gapful number since it is divisible by the number (20) 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 23032201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37492530660).

23032201320 is an abundant number, since it is smaller than the sum of its proper divisors (51952860000).

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

23032201320 is a wasteful number, since it uses less digits than its factorization.

23032201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111475 (or 111468 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23032201320 its reverse (2310223032), we get a palindrome (25342424352).

The spelling of 23032201320 in words is "twenty-three billion, thirty-two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 577 1154 1731 2308 2885 3462 4616 5193 5770 6924 8655 10386 11540 13848 17310 20772 23080 25965 34620 41544 51930 69240 103860 110881 207720 221762 332643 443524 554405 665286 887048 997929 1108810 1330572 1663215 1995858 2217620 2661144 3326430 3991716 4435240 4989645 6652860 7983432 9979290 13305720 19958580 39917160 63978337 127956674 191935011 255913348 319891685 383870022 511826696 575805033 639783370 767740044 959675055 1151610066 1279566740 1535480088 1919350110 2303220132 2559133480 2879025165 3838700220 4606440264 5758050330 7677400440 11516100660 23032201320