Search a number
-
+
3141050100 = 2235291911393
BaseRepresentation
bin1011101100111000…
…1001111011110100
322002220102212200220
42323032021323310
522413102100400
61235403334340
7140560325316
oct27316117364
98086385626
103141050100
11137204a481
12737b213b0
133b099b836
1421b2417b6
15135b567a0
hexbb389ef4

3141050100 has 72 divisors (see below), whose sum is σ = 9098792640. Its totient is φ = 836628480.

The previous prime is 3141050093. The next prime is 3141050119. The reversal of 3141050100 is 10501413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3141050100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270004 + ... + 281396.

It is an arithmetic number, because the mean of its divisors is an integer number (126372120).

Almost surely, 23141050100 is an apocalyptic number.

3141050100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3141050100 is an abundant number, since it is smaller than the sum of its proper divisors (5957742540).

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

3141050100 is a wasteful number, since it uses less digits than its factorization.

3141050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12322 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 3141050100 is about 56045.0720402784. The cubic root of 3141050100 is about 1464.5075709508.

Adding to 3141050100 its reverse (10501413), we get a palindrome (3151551513).

The spelling of 3141050100 in words is "three billion, one hundred forty-one million, fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 919 1838 2757 3676 4595 5514 9190 11028 11393 13785 18380 22786 22975 27570 34179 45572 45950 55140 56965 68358 68925 91900 113930 136716 137850 170895 227860 275700 284825 341790 569650 683580 854475 1139300 1708950 3417900 10470167 20940334 31410501 41880668 52350835 62821002 104701670 125642004 157052505 209403340 261754175 314105010 523508350 628210020 785262525 1047016700 1570525050 3141050100