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100001331444 = 22372418116091
BaseRepresentation
bin101110100100010001…
…0110011100011110100
3100120010021010222122110
41131020202303203310
53114300320101234
6113535011331020
710140061202160
oct1351042634364
9316107128573
10100001331444
1139457165473
121746a2b0a70
139578b87791
144ba92c9ca0
1529043ee1e9
hex17488b38f4

100001331444 has 96 divisors (see below), whose sum is σ = 268150930432. Its totient is φ = 28413504000.

The previous prime is 100001331433. The next prime is 100001331467. The reversal of 100001331444 is 444133100001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100001331444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16414839 + ... + 16420929.

Almost surely, 2100001331444 is an apocalyptic number.

100001331444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100001331444 is an abundant number, since it is smaller than the sum of its proper divisors (168149598988).

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

100001331444 is a wasteful number, since it uses less digits than its factorization.

100001331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100001331444 its reverse (444133100001), we get a palindrome (544134431445).

The spelling of 100001331444 in words is "one hundred billion, one million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 482 723 811 964 1446 1622 1687 2433 2892 3244 3374 4866 5061 5677 6091 6748 9732 10122 11354 12182 17031 18273 20244 22708 24364 34062 36546 42637 68124 73092 85274 127911 170548 195451 255822 390902 511644 586353 781804 1172706 1368157 1467931 2345412 2736314 2935862 4104471 4403793 4939801 5472628 5871724 8208942 8807586 9879602 10275517 14819403 16417884 17615172 19759204 20551034 29638806 30826551 34578607 41102068 59277612 61653102 69157214 103735821 123306204 138314428 207471642 414943284 1190492041 2380984082 3571476123 4761968164 7142952246 8333444287 14285904492 16666888574 25000332861 33333777148 50000665722 100001331444