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141006100 = 225223101607
BaseRepresentation
bin10000110011110…
…01010100010100
3100211022212000011
420121321110110
5242044143400
621554130004
73331350334
oct1031712424
9324285004
10141006100
1172659a74
123b280904
13232a0281
1414a270c4
15c5a48ba
hex8679514

141006100 has 72 divisors (see below), whose sum is σ = 322979328. Its totient is φ = 53328000.

The previous prime is 141006097. The next prime is 141006101. The reversal of 141006100 is 1600141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141006101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231997 + ... + 232603.

It is an arithmetic number, because the mean of its divisors is an integer number (4485824).

Almost surely, 2141006100 is an apocalyptic number.

141006100 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 141006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161489664).

141006100 is an abundant number, since it is smaller than the sum of its proper divisors (181973228).

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

141006100 is a wasteful number, since it uses less digits than its factorization.

141006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 141006100 is about 11874.5989405958. The cubic root of 141006100 is about 520.4902920113.

Adding to 141006100 its reverse (1600141), we get a palindrome (142606241).

The spelling of 141006100 in words is "one hundred forty-one million, six thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 101 115 202 230 404 460 505 575 607 1010 1150 1214 2020 2300 2323 2428 2525 3035 4646 5050 6070 9292 10100 11615 12140 13961 15175 23230 27922 30350 46460 55844 58075 60700 61307 69805 116150 122614 139610 232300 245228 279220 306535 349025 613070 698050 1226140 1396100 1410061 1532675 2820122 3065350 5640244 6130700 7050305 14100610 28201220 35251525 70503050 141006100