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10217003232 = 253409260213
BaseRepresentation
bin10011000001111101…
…10001100011100000
3222101001002112121010
421200332301203200
5131411023100412
64405453500520
7511121044302
oct114076614340
928331075533
1010217003232
114373260827
121b917a1740
13c6a948b57
146ccccd972
153ebe7533c
hex260fb18e0

10217003232 has 48 divisors (see below), whose sum is σ = 26885310480. Its totient is φ = 3397327872.

The previous prime is 10217003207. The next prime is 10217003239. The reversal of 10217003232 is 23230071201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10217003199 and 10217003208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217003239) 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, 90843 + ... + 169370.

It is an arithmetic number, because the mean of its divisors is an integer number (560110635).

Almost surely, 210217003232 is an apocalyptic number.

10217003232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10217003232 is an abundant number, since it is smaller than the sum of its proper divisors (16668307248).

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

10217003232 is a wasteful number, since it uses less digits than its factorization.

10217003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260635 (or 260627 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 10217003232 its reverse (23230071201), we get a palindrome (33447074433).

The spelling of 10217003232 in words is "ten billion, two hundred seventeen million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 409 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 39264 260213 520426 780639 1040852 1561278 2081704 3122556 4163408 6245112 8326816 12490224 24980448 106427117 212854234 319281351 425708468 638562702 851416936 1277125404 1702833872 2554250808 3405667744 5108501616 10217003232