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2331104020 = 225761893067
BaseRepresentation
bin1000101011110001…
…1101001100010100
320000110101100112221
42022330131030110
514233230312040
61023151352124
7111524025430
oct21274351424
96013340487
102331104020
11a96935a53
12550822644
132b1c457bb
141818479c0
15d99b774a
hex8af1d314

2331104020 has 96 divisors (see below), whose sum is σ = 5752131840. Its totient is φ = 777047040.

The previous prime is 2331103967. The next prime is 2331104023. The reversal of 2331104020 is 204011332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2331103985 and 2331104003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331104023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758527 + ... + 761593.

It is an arithmetic number, because the mean of its divisors is an integer number (59918040).

Almost surely, 22331104020 is an apocalyptic number.

2331104020 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 2331104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876065920).

2331104020 is an abundant number, since it is smaller than the sum of its proper divisors (3421027820).

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

2331104020 is a wasteful number, since it uses less digits than its factorization.

2331104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2331104020 is about 48281.5080543266. The cubic root of 2331104020 is about 1325.9298601642.

Adding to 2331104020 its reverse (204011332), we get a palindrome (2535115352).

The spelling of 2331104020 in words is "two billion, three hundred thirty-one million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 89 122 140 178 244 305 356 427 445 610 623 854 890 1220 1246 1708 1780 2135 2492 3067 3115 4270 5429 6134 6230 8540 10858 12268 12460 15335 21469 21716 27145 30670 38003 42938 54290 61340 76006 85876 107345 108580 152012 187087 190015 214690 272963 374174 380030 429380 545926 748348 760060 935435 1091852 1309609 1364815 1870870 1910741 2619218 2729630 3741740 3821482 5238436 5459260 6548045 7642964 9553705 13096090 16650743 19107410 26192180 33301486 38214820 66602972 83253715 116555201 166507430 233110402 333014860 466220804 582776005 1165552010 2331104020