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10143215345224 = 23135313811332517
BaseRepresentation
bin1001001110011010011010…
…1111110101111001001000
31022220200102010011121000201
42103212212233311321020
52312141301112021344
633323421230541544
72064552221605033
oct223464657657110
938820363147021
1010143215345224
1132607936a1665
1211799a63678b4
13587668bcc850
14270d117bc01a
15128cad0944d4
hex939a6bf5e48

10143215345224 has 64 divisors (see below), whose sum is σ = 20883062193840. Its totient is φ = 4589824711680.

The previous prime is 10143215345209. The next prime is 10143215345227. The reversal of 10143215345224 is 42254351234101.

It can be written as a sum of positive squares in 8 ways, for example, as 3218328360900 + 6924886984324 = 1793970^2 + 2631518^2 .

It is a super-2 number, since 2×101432153452242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10143215345227) 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, 6945814 + ... + 8278330.

Almost surely, 210143215345224 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 10143215345224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441531096920).

10143215345224 is an abundant number, since it is smaller than the sum of its proper divisors (10739846848616).

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

10143215345224 is a wasteful number, since it uses less digits than its factorization.

10143215345224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333970 (or 1333966 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 10143215345224 its reverse (42254351234101), we get a palindrome (52397566579325).

The spelling of 10143215345224 in words is "ten trillion, one hundred forty-three billion, two hundred fifteen million, three hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 1381 2756 2762 5512 5524 11048 17953 35906 71812 73193 143624 146386 292772 585544 951509 1332517 1903018 2665034 3806036 5330068 7612072 10660136 17322721 34645442 69290884 70623401 138581768 141246802 282493604 564987208 918104213 1836208426 1840205977 3672416852 3680411954 7344833704 7360823908 14721647816 23922677701 47845355402 95690710804 97530916781 191381421608 195061833562 390123667124 780247334248 1267901918153 2535803836306 5071607672612 10143215345224