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10211302024 = 2371146335803
BaseRepresentation
bin10011000001010010…
…00001101010001000
3222100122100220000021
421200221001222020
5131403043131044
64405131350224
7511021430560
oct114051015210
928318326007
1010211302024
114370017390
121b8b8b2374
13c69700b61
146cc247da0
153eb6eae84
hex260a41a88

10211302024 has 64 divisors (see below), whose sum is σ = 23922800640. Its totient is φ = 3969725760.

The previous prime is 10211302021. The next prime is 10211302033. The reversal of 10211302024 is 42020311201.

It is a junction number, because it is equal to n+sod(n) for n = 10211301989 and 10211302007.

It is not an unprimeable number, because it can be changed into a prime (10211302021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267307 + ... + 303109.

It is an arithmetic number, because the mean of its divisors is an integer number (373793760).

Almost surely, 210211302024 is an apocalyptic number.

10211302024 is a gapful number since it is divisible by the number (14) 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 10211302024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961400320).

10211302024 is an abundant number, since it is smaller than the sum of its proper divisors (13711498616).

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

10211302024 is a wasteful number, since it uses less digits than its factorization.

10211302024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36290 (or 36286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10211302024 its reverse (42020311201), we get a palindrome (52231613225).

The spelling of 10211302024 in words is "ten billion, two hundred eleven million, three hundred two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 463 616 926 1852 3241 3704 5093 6482 10186 12964 20372 25928 35651 35803 40744 71302 71606 142604 143212 250621 285208 286424 393833 501242 787666 1002484 1575332 2004968 2756831 3150664 5513662 11027324 16576789 22054648 33153578 66307156 116037523 132614312 182344679 232075046 364689358 464150092 729378716 928300184 1276412753 1458757432 2552825506 5105651012 10211302024