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10401111224 = 2372171938087
BaseRepresentation
bin10011010111111010…
…00101110010111000
3222211212112012021122
421223331011302320
5132300141024344
64440031524412
7515514662300
oct115375056270
928755465248
1010401111224
114458179899
122023389708
13c99b2a7aa
14709536600
1540d1e0aee
hex26bf45cb8

10401111224 has 96 divisors (see below), whose sum is σ = 24148018080. Its totient is φ = 4173152256.

The previous prime is 10401111209. The next prime is 10401111257. The reversal of 10401111224 is 42211110401.

It is a super-2 number, since 2×104011112242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 1282109 + ... + 1290195.

It is an arithmetic number, because the mean of its divisors is an integer number (251541855).

Almost surely, 210401111224 is an apocalyptic number.

10401111224 is a gapful number since it is divisible by the number (14) 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 10401111224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074009040).

10401111224 is an abundant number, since it is smaller than the sum of its proper divisors (13746906856).

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

10401111224 is a wasteful number, since it uses less digits than its factorization.

10401111224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10401111224 its reverse (42211110401), we get a palindrome (52612221625).

The spelling of 10401111224 in words is "ten billion, four hundred one million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 193 196 238 386 392 476 772 833 952 1351 1544 1666 2702 3281 3332 5404 6562 6664 8087 9457 10808 13124 16174 18914 22967 26248 32348 37828 45934 56609 64696 75656 91868 113218 137479 160769 183736 226436 274958 321538 396263 452872 549916 643076 792526 962353 1099832 1286152 1560791 1585052 1924706 3121582 3170104 3849412 6243164 6736471 7698824 10925537 12486328 13472942 21851074 26533447 26945884 43702148 53066894 53891768 76478759 87404296 106133788 152957518 185734129 212267576 305915036 371468258 611830072 742936516 1300138903 1485873032 2600277806 5200555612 10401111224