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1241214100 = 22527336187
BaseRepresentation
bin100100111111011…
…0110110010010100
310012111120012122121
41021332312302110
510020222322400
6323055305324
742521101000
oct11176666224
93174505577
101241214100
115876a6585
122a781b244
1316a1c4819
14babbb700
1573e7c21a
hex49fb6c94

1241214100 has 72 divisors (see below), whose sum is σ = 3141118400. Its totient is φ = 425547360.

The previous prime is 1241214089. The next prime is 1241214101. The reversal of 1241214100 is 14121421.

It is a happy number.

It is a super-2 number, since 2×12412141002 = 3081224884077620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241214101) 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, 16207 + ... + 52393.

Almost surely, 21241214100 is an apocalyptic number.

1241214100 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 1241214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570559200).

1241214100 is an abundant number, since it is smaller than the sum of its proper divisors (1899904300).

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

1241214100 is a wasteful number, since it uses less digits than its factorization.

1241214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36222 (or 36201 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1241214100 is about 35230.8685672096. The cubic root of 1241214100 is about 1074.6875890445.

Adding to 1241214100 its reverse (14121421), we get a palindrome (1255335521).

The spelling of 1241214100 in words is "one billion, two hundred forty-one million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 17150 34300 36187 72374 144748 180935 253309 361870 506618 723740 904675 1013236 1266545 1773163 1809350 2533090 3546326 3618700 5066180 6332725 7092652 8865815 12412141 12665450 17731630 24824282 25330900 35463260 44329075 49648564 62060705 88658150 124121410 177316300 248242820 310303525 620607050 1241214100