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1001099968 = 26111974843
BaseRepresentation
bin111011101010111…
…001001011000000
32120202202010222121
4323222321023000
54022240144333
6243201014024
733544131541
oct7352711300
92522663877
101001099968
11474105250
1223b324314
1312c533a5b
1496d564c8
155cd4c32d
hex3bab92c0

1001099968 has 56 divisors (see below), whose sum is σ = 2281245120. Its totient is φ = 431089920.

The previous prime is 1001099903. The next prime is 1001099971. The reversal of 1001099968 is 8699901001.

1001099968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10010999682 = 2004402291859202048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24046 + ... + 50797.

It is an arithmetic number, because the mean of its divisors is an integer number (40736520).

Almost surely, 21001099968 is an apocalyptic number.

It is an amenable number.

1001099968 is an abundant number, since it is smaller than the sum of its proper divisors (1280145152).

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

1001099968 is a wasteful number, since it uses less digits than its factorization.

1001099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74885 (or 74875 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 1001099968 is about 31640.1638428122. The cubic root of 1001099968 is about 1000.3665216455.

The spelling of 1001099968 in words is "one billion, one million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 13376 74843 149686 299372 598744 823273 1197488 1422017 1646546 2394976 2844034 3293092 4789952 5688068 6586184 11376136 13172368 15642187 22752272 26344736 31284374 45504544 52689472 62568748 91009088 125137496 250274992 500549984 1001099968