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4003131220 = 22511113283569
BaseRepresentation
bin1110111010011010…
…1110111101010100
3101022222121010200021
43232212232331110
531144300144340
61501120554524
7201126024334
oct35646567524
911288533607
104003131220
111774732810
12938782a44
134ba4799ca
1429d92b0c4
15186692e4a
hexee9aef54

4003131220 has 96 divisors (see below), whose sum is σ = 9300977280. Its totient is φ = 1435176960.

The previous prime is 4003131199. The next prime is 4003131221. The reversal of 4003131220 is 221313004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4003131194 and 4003131203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003131221) 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, 7035096 + ... + 7035664.

It is an arithmetic number, because the mean of its divisors is an integer number (96885180).

Almost surely, 24003131220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650488640).

4003131220 is an abundant number, since it is smaller than the sum of its proper divisors (5297846060).

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

4003131220 is a wasteful number, since it uses less digits than its factorization.

4003131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

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

The square root of 4003131220 is about 63270.3028284202. The cubic root of 4003131220 is about 1587.8151524272.

Adding to 4003131220 its reverse (221313004), we get a palindrome (4224444224).

The spelling of 4003131220 in words is "four billion, three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 283 452 565 566 569 1130 1132 1138 1243 1415 2260 2276 2486 2830 2845 3113 4972 5660 5690 6215 6226 6259 11380 12430 12452 12518 15565 24860 25036 31130 31295 31979 62260 62590 63958 64297 125180 127916 128594 159895 161027 257188 319790 321485 322054 351769 639580 642970 644108 703538 707267 805135 1285940 1407076 1414534 1610270 1758845 1771297 2829068 3220540 3517690 3536335 3542594 7035380 7072670 7085188 8856485 14145340 17712970 18196051 35425940 36392102 72784204 90980255 181960510 200156561 363921020 400313122 800626244 1000782805 2001565610 4003131220