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10041101224 = 23711163100003
BaseRepresentation
bin10010101100111111…
…10000101110101000
3221220210002210101221
421112133300232220
5131031010214344
64340211351424
7503553644410
oct112637605650
927823083357
1010041101224
114292a37a70
121b428b2574
13c4037b31b
146b37c1640
153db7cb184
hex2567f0ba8

10041101224 has 64 divisors (see below), whose sum is σ = 23616944640. Its totient is φ = 3888077760.

The previous prime is 10041101173. The next prime is 10041101227. The reversal of 10041101224 is 42210114001.

It is a happy number.

It is a super-2 number, since 2×100411012242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10041101198 and 10041101207.

It is not an unprimeable number, because it can be changed into a prime (10041101227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50407 + ... + 150409.

It is an arithmetic number, because the mean of its divisors is an integer number (369014760).

Almost surely, 210041101224 is an apocalyptic number.

10041101224 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 10041101224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808472320).

10041101224 is an abundant number, since it is smaller than the sum of its proper divisors (13575843416).

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

10041101224 is a wasteful number, since it uses less digits than its factorization.

10041101224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100190 (or 100186 counting only the distinct ones).

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

Adding to 10041101224 its reverse (42210114001), we get a palindrome (52251215225).

The spelling of 10041101224 in words is "ten billion, forty-one million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 163 308 326 616 652 1141 1304 1793 2282 3586 4564 7172 9128 12551 14344 25102 50204 100003 100408 200006 400012 700021 800024 1100033 1400042 2200066 2800084 4400132 5600168 7700231 8800264 15400462 16300489 30800924 32600978 61601848 65201956 114103423 130403912 179305379 228206846 358610758 456413692 717221516 912827384 1255137653 1434443032 2510275306 5020550612 10041101224