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10023310220 = 2257118597577
BaseRepresentation
bin10010101010110111…
…11001001110001100
3221212112121220201212
421111123321032030
5131011431411340
64334334153552
7503246505530
oct112533711614
927775556655
1010023310220
114283996360
121b389528b8
13c3978c4c1
146b12adbc0
153d9e64a65
hex2556f938c

10023310220 has 96 divisors (see below), whose sum is σ = 26276866560. Its totient is φ = 3120099840.

The previous prime is 10023310201. The next prime is 10023310237. The reversal of 10023310220 is 2201332001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10023310195 and 10023310204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319072 + ... + 1326648.

It is an arithmetic number, because the mean of its divisors is an integer number (273717360).

Almost surely, 210023310220 is an apocalyptic number.

10023310220 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 10023310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138433280).

10023310220 is an abundant number, since it is smaller than the sum of its proper divisors (16253556340).

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

10023310220 is a wasteful number, since it uses less digits than its factorization.

10023310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10023310220 its reverse (2201332001), we get a palindrome (12224642221).

The spelling of 10023310220 in words is "ten billion, twenty-three million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 859 1540 1718 3436 4295 6013 7577 8590 9449 12026 15154 17180 18898 24052 30065 30308 37796 37885 47245 53039 60130 66143 75770 83347 94490 106078 120260 132286 151540 166694 188980 212156 264572 265195 330715 333388 416735 530390 583429 661430 833470 1060780 1166858 1322860 1666940 2333716 2917145 5834290 6508643 11668580 13017286 26034572 32543215 45560501 65086430 71595073 91121002 130172860 143190146 182242004 227802505 286380292 357975365 455605010 501165511 715950730 911210020 1002331022 1431901460 2004662044 2505827555 5011655110 10023310220