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10213466340 = 223571119307379
BaseRepresentation
bin10011000001100010…
…10010000011100100
3222100210102211220010
421200301102003210
5131404121410330
64405250010220
7511046013540
oct114061220344
928323384803
1010213466340
114371265480
121b90576970
13c69cab00c
146cc64ca20
153eb9c73b0
hex260c520e4

10213466340 has 384 divisors, whose sum is σ = 37752422400. Its totient is φ = 1998743040.

The previous prime is 10213466293. The next prime is 10213466377. The reversal of 10213466340 is 4366431201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10213466298 and 10213466307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26948271 + ... + 26948649.

It is an arithmetic number, because the mean of its divisors is an integer number (98313600).

Almost surely, 210213466340 is an apocalyptic number.

10213466340 is a gapful number since it is divisible by the number (10) 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 10213466340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18876211200).

10213466340 is an abundant number, since it is smaller than the sum of its proper divisors (27538956060).

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

10213466340 is a wasteful number, since it uses less digits than its factorization.

10213466340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10213466340 its reverse (4366431201), we get a palindrome (14579897541).

The spelling of 10213466340 in words is "ten billion, two hundred thirteen million, four hundred sixty-six thousand, three hundred forty".