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1001104412 = 2271137107821
BaseRepresentation
bin111011101010111…
…010010000011100
32120202202101002012
4323222322100130
54022240320122
6243201050352
733544150520
oct7352722034
92522671065
101001104412
11474108620
1223b3269b8
1312c535a99
1496d57d80
155cd4d7e2
hex3baba41c

1001104412 has 96 divisors (see below), whose sum is σ = 2266983936. Its totient is φ = 375494400.

The previous prime is 1001104411. The next prime is 1001104427. The reversal of 1001104412 is 2144011001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001104411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218962 + ... + 1219782.

It is an arithmetic number, because the mean of its divisors is an integer number (23614416).

Almost surely, 21001104412 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 1001104412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133491968).

1001104412 is an abundant number, since it is smaller than the sum of its proper divisors (1265879524).

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

1001104412 is a wasteful number, since it uses less digits than its factorization.

1001104412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1001104412 is about 31640.2340699306. The cubic root of 1001104412 is about 1000.3680018913.

Adding to 1001104412 its reverse (2144011001), we get a palindrome (3145115413).

The spelling of 1001104412 in words is "one billion, one million, one hundred four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 107 148 154 214 259 308 407 428 518 749 814 821 1036 1177 1498 1628 1642 2354 2849 2996 3284 3959 4708 5698 5747 7918 8239 9031 11396 11494 15836 16478 18062 22988 27713 30377 32956 36124 43549 55426 60754 63217 87098 87847 110852 121508 126434 174196 175694 212639 252868 304843 334147 351388 425278 609686 614929 668294 850556 966317 1219372 1229858 1336588 1932634 2339029 2459716 3250339 3865268 4678058 6500678 6764219 9356116 13001356 13528438 22752373 27056876 35753729 45504746 71507458 91009492 143014916 250276103 500552206 1001104412