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1002330112 = 2117139503
BaseRepresentation
bin111011101111100…
…101100000000000
32120212001122102111
4323233211200000
54023044030422
6243243225104
733560444140
oct7357454000
92525048374
101002330112
114748754a3
1223b818194
1312c874954
1497196920
155cee1a77
hex3bbe5800

1002330112 has 96 divisors (see below), whose sum is σ = 2311545600. Its totient is φ = 425631744.

The previous prime is 1002330107. The next prime is 1002330113. The reversal of 1002330112 is 2110332001.

It is a junction number, because it is equal to n+sod(n) for n = 1002330092 and 1002330101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002330113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1992453 + ... + 1992955.

It is an arithmetic number, because the mean of its divisors is an integer number (24078600).

Almost surely, 21002330112 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 1002330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155772800).

1002330112 is an abundant number, since it is smaller than the sum of its proper divisors (1309215488).

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

1002330112 is an equidigital number, since it uses as much as digits as its factorization.

1002330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1002330112 is about 31659.5974705933. The cubic root of 1002330112 is about 1000.7761015106.

Adding to 1002330112 its reverse (2110332001), we get a palindrome (3112662113).

The spelling of 1002330112 in words is "one billion, two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 448 503 512 556 896 973 1006 1024 1112 1792 1946 2012 2048 2224 3521 3584 3892 4024 4448 7042 7168 7784 8048 8896 14084 14336 15568 16096 17792 28168 31136 32192 35584 56336 62272 64384 69917 71168 112672 124544 128768 139834 142336 225344 249088 257536 279668 284672 450688 489419 498176 515072 559336 901376 978838 996352 1030144 1118672 1802752 1957676 1992704 2237344 3605504 3915352 4474688 7211008 7830704 8949376 15661408 17898752 31322816 35797504 62645632 71595008 125291264 143190016 250582528 501165056 1002330112