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10330122000 = 2435311281557
BaseRepresentation
bin10011001111011100…
…10010011100010000
3222122220221120101010
421213232102130100
5132124002401000
64425014210520
7513663405522
oct114756223420
928586846333
1010330122000
1144210a2610
122003653a40
13c88203933
146ddd37a12
15406d6bd50
hex267b92710

10330122000 has 320 divisors, whose sum is σ = 36526733568. Its totient is φ = 2490880000.

The previous prime is 10330121969. The next prime is 10330122007. The reversal of 10330122000 is 22103301.

It is a happy number.

It is a super-2 number, since 2×103301220002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10330122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18545722 + ... + 18546278.

Almost surely, 210330122000 is an apocalyptic number.

10330122000 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 10330122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18263366784).

10330122000 is an abundant number, since it is smaller than the sum of its proper divisors (26196611568).

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

10330122000 is a wasteful number, since it uses less digits than its factorization.

10330122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10330122000 its reverse (22103301), we get a palindrome (10352225301).

It can be divided in two parts, 103 and 30122000, that added together give a palindrome (30122103).

The spelling of 10330122000 in words is "ten billion, three hundred thirty million, one hundred twenty-two thousand".