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1010331324 = 2232376711321
BaseRepresentation
bin111100001110000…
…110111010111100
32121102010011000200
4330032012322330
54032121100244
6244130523500
734015450242
oct7416067274
92542104020
101010331324
1147933a972
12242436590
131314167b2
149827a792
155da72669
hex3c386ebc

1010331324 has 72 divisors (see below), whose sum is σ = 2662300368. Its totient is φ = 322755840.

The previous prime is 1010331277. The next prime is 1010331331. The reversal of 1010331324 is 4231330101.

1010331324 is a `hidden beast` number, since 1 + 0 + 10 + 331 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1010331297 and 1010331306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83584 + ... + 94904.

It is an arithmetic number, because the mean of its divisors is an integer number (36976394).

Almost surely, 21010331324 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 1010331324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331150184).

1010331324 is an abundant number, since it is smaller than the sum of its proper divisors (1651969044).

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

1010331324 is a wasteful number, since it uses less digits than its factorization.

1010331324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1010331324 is about 31785.7094304972. The cubic root of 1010331324 is about 1003.4319826870.

Adding to 1010331324 its reverse (4231330101), we get a palindrome (5241661425).

The spelling of 1010331324 in words is "one billion, ten million, three hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 444 603 666 804 1206 1332 2412 2479 4958 7437 9916 11321 14874 22311 22642 29748 33963 44622 45284 67926 89244 101889 135852 203778 407556 418877 758507 837754 1256631 1517014 1675508 2275521 2513262 3034028 3769893 4551042 5026524 6826563 7539786 9102084 13653126 15079572 27306252 28064759 56129518 84194277 112259036 168388554 252582831 336777108 505165662 1010331324