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3981543100 = 22521917312113
BaseRepresentation
bin1110110101010001…
…1000011010111100
3101021110222100100021
43231110120122330
531123233334400
61455030141524
7200444362243
oct35524303274
911243870307
103981543100
111763528297
129314b18a4
134b5b5b782
1429ab0b95a
1518482b71a
hexed5186bc

3981543100 has 72 divisors (see below), whose sum is σ = 9148008240. Its totient is φ = 1499950080.

The previous prime is 3981543067. The next prime is 3981543109. The reversal of 3981543100 is 13451893.

It is a super-2 number, since 2×39815431002 = 31705370914315220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981543109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322644 + ... + 334756.

It is an arithmetic number, because the mean of its divisors is an integer number (127055670).

Almost surely, 23981543100 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 3981543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574004120).

3981543100 is an abundant number, since it is smaller than the sum of its proper divisors (5166465140).

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

3981543100 is a wasteful number, since it uses less digits than its factorization.

3981543100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 3981543100 is about 63099.4698868382. The cubic root of 3981543100 is about 1584.9557451645.

Adding to 3981543100 its reverse (13451893), we get a palindrome (3994994993).

The spelling of 3981543100 in words is "three billion, nine hundred eighty-one million, five hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 173 190 346 380 475 692 865 950 1730 1900 3287 3460 4325 6574 8650 12113 13148 16435 17300 24226 32870 48452 60565 65740 82175 121130 164350 230147 242260 302825 328700 460294 605650 920588 1150735 1211300 2095549 2301470 4191098 4602940 5753675 8382196 10477745 11507350 20955490 23014700 39815431 41910980 52388725 79630862 104777450 159261724 199077155 209554900 398154310 796308620 995385775 1990771550 3981543100