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23021330420 = 22511294917349
BaseRepresentation
bin10101011100001011…
…011001111111110100
32012102101200202102102
4111130023121333310
5334121430033140
614324215001232
71443330036254
oct253413317764
965371622372
1023021330420
119843a39310
124565969218
13222b61a00a
141185681964
158eb124e15
hex55c2d9ff4

23021330420 has 96 divisors (see below), whose sum is σ = 54676944000. Its totient is φ = 8065164800.

The previous prime is 23021330413. The next prime is 23021330491. The reversal of 23021330420 is 2403312032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23021330392 and 23021330401.

It is a congruent number.

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, 3128906 + ... + 3136254.

It is an arithmetic number, because the mean of its divisors is an integer number (569551500).

Almost surely, 223021330420 is an apocalyptic number.

23021330420 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 23021330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27338472000).

23021330420 is an abundant number, since it is smaller than the sum of its proper divisors (31655613580).

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

23021330420 is a wasteful number, since it uses less digits than its factorization.

23021330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23021330420 its reverse (2403312032), we get a palindrome (25424642452).

The spelling of 23021330420 in words is "twenty-three billion, twenty-one million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 491 580 638 982 1276 1595 1964 2455 3190 4910 5401 6380 7349 9820 10802 14239 14698 21604 27005 28478 29396 36745 54010 56956 71195 73490 80839 108020 142390 146980 156629 161678 213121 284780 313258 323356 404195 426242 626516 783145 808390 852484 1065605 1566290 1616780 2131210 2344331 3132580 3608359 4262420 4688662 7216718 9377324 11721655 14433436 18041795 23443310 36083590 39691949 46886620 72167180 79383898 104642411 158767796 198459745 209284822 396919490 418569644 523212055 793838980 1046424110 1151066521 2092848220 2302133042 4604266084 5755332605 11510665210 23021330420