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1021661124 = 2231141311607
BaseRepresentation
bin111100111001010…
…100111111000100
32122012102202120220
4330321110333010
54043021123444
6245213424340
734213655601
oct7471247704
92565382526
101021661124
11484779140
1224619b0b0
13133882713
14999896a8
155ea5e619
hex3ce54fc4

1021661124 has 96 divisors (see below), whose sum is σ = 2676989952. Its totient is φ = 300576000.

The previous prime is 1021661119. The next prime is 1021661129. The reversal of 1021661124 is 4211661201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1021661119) and next prime (1021661129).

It is a junction number, because it is equal to n+sod(n) for n = 1021661094 and 1021661103.

It is not an unprimeable number, because it can be changed into a prime (1021661129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1682829 + ... + 1683435.

It is an arithmetic number, because the mean of its divisors is an integer number (27885312).

Almost surely, 21021661124 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 1021661124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338494976).

1021661124 is an abundant number, since it is smaller than the sum of its proper divisors (1655328828).

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

1021661124 is a wasteful number, since it uses less digits than its factorization.

1021661124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1021661124 is about 31963.4341709398. The cubic root of 1021661124 is about 1007.1688593142.

The spelling of 1021661124 in words is "one billion, twenty-one million, six hundred sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 311 451 492 607 622 902 933 1214 1244 1353 1804 1821 1866 2428 2706 3421 3642 3732 5412 6677 6842 7284 10263 12751 13354 13684 20031 20526 24887 25502 26708 38253 40062 41052 49774 51004 74661 76506 80124 99548 140261 149322 153012 188777 273757 280522 298644 377554 420783 547514 561044 566331 755108 821271 841566 1095028 1132662 1642542 1683132 2076547 2265324 3285084 4153094 6229641 7739857 8306188 12459282 15479714 23219571 24918564 30959428 46439142 85138427 92878284 170276854 255415281 340553708 510830562 1021661124