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1010000322 = 2323710913913
BaseRepresentation
bin111100001100110…
…110000111000010
32121101111022222100
4330030312013002
54032030002242
6244115451230
734012601232
oct7414660702
92541438870
101010000322
11479134211
122422b6b16
1313132bc36
14981d1cc2
155da0954c
hex3c3361c2

1010000322 has 48 divisors (see below), whose sum is σ = 2268260280. Its totient is φ = 324539136.

The previous prime is 1010000317. The next prime is 1010000339. The reversal of 1010000322 is 2230000101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1009904841 + 95481 = 31779^2 + 309^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65638 + ... + 79550.

Almost surely, 21010000322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010000322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134130140).

1010000322 is an abundant number, since it is smaller than the sum of its proper divisors (1258259958).

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

1010000322 is a wasteful number, since it uses less digits than its factorization.

1010000322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14067 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1010000322 is about 31780.5022301410. The cubic root of 1010000322 is about 1003.3223901658.

Adding to 1010000322 its reverse (2230000101), we get a palindrome (3240000423).

The spelling of 1010000322 in words is "one billion, ten million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 109 111 218 222 327 333 654 666 981 1962 4033 8066 12099 13913 24198 27826 36297 41739 72594 83478 125217 250434 514781 1029562 1516517 1544343 3033034 3088686 4549551 4633029 9099102 9266058 13648653 27297306 56111129 112222258 168333387 336666774 505000161 1010000322