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10333140224 = 281131118369
BaseRepresentation
bin10011001111110011…
…10011010100000000
3222200010121220121012
421213321303110000
5132130240441344
64425203020052
7514031146151
oct114771632400
928603556535
1010333140224
114422874210
12200466a628
13c88a1c674
147004c1928
1540726629e
hex267e73500

10333140224 has 72 divisors (see below), whose sum is σ = 23227034880. Its totient is φ = 4545331200.

The previous prime is 10333140203. The next prime is 10333140227. The reversal of 10333140224 is 42204133301.

It is a self number, because there is not a number n which added to its sum of digits gives 10333140224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333140227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28112 + ... + 146480.

Almost surely, 210333140224 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 10333140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613517440).

10333140224 is an abundant number, since it is smaller than the sum of its proper divisors (12893894656).

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

10333140224 is a wasteful number, since it uses less digits than its factorization.

10333140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118427 (or 118413 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10333140224 its reverse (42204133301), we get a palindrome (52537273525).

The spelling of 10333140224 in words is "ten billion, three hundred thirty-three million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 992 1364 1408 1984 2728 2816 3968 5456 7936 10912 21824 43648 87296 118369 236738 473476 946952 1302059 1893904 2604118 3669439 3787808 5208236 7338878 7575616 10416472 14677756 15151232 20832944 29355512 30302464 40363829 41665888 58711024 80727658 83331776 117422048 161455316 166663552 234844096 322910632 333327104 469688192 645821264 939376384 1291642528 2583285056 5166570112 10333140224