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10121433224 = 2374316212593
BaseRepresentation
bin10010110110100100…
…01101000010001000
3222010101021002012012
421123102031002020
5131212041330344
64352201235052
7505550522450
oct113322150210
928111232165
1010121433224
114324315651
121b65792a88
13c53bc6856
146c0332d60
153e389829e
hex25b48d088

10121433224 has 64 divisors (see below), whose sum is σ = 22215431040. Its totient is φ = 4232632320.

The previous prime is 10121433211. The next prime is 10121433233. The reversal of 10121433224 is 42233412101.

It is a self number, because there is not a number n which added to its sum of digits gives 10121433224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3902072 + ... + 3904664.

It is an arithmetic number, because the mean of its divisors is an integer number (347116110).

Almost surely, 210121433224 is an apocalyptic number.

10121433224 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 10121433224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107715520).

10121433224 is an abundant number, since it is smaller than the sum of its proper divisors (12093997816).

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

10121433224 is a wasteful number, since it uses less digits than its factorization.

10121433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10121433224 its reverse (42233412101), we get a palindrome (52354845325).

The spelling of 10121433224 in words is "ten billion, one hundred twenty-one million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 1621 2408 2593 3242 5186 6484 10372 11347 12968 18151 20744 22694 36302 45388 69703 72604 90776 111499 139406 145208 222998 278812 445996 487921 557624 780493 891992 975842 1560986 1951684 3121972 3903368 4203253 6243944 8406506 16813012 29422771 33626024 58845542 117691084 180739879 235382168 361479758 722959516 1265179153 1445919032 2530358306 5060716612 10121433224