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1000101096 = 2332531371913
BaseRepresentation
bin111011100111000…
…101010011101000
32120200212101210100
4323213011103220
54022011213341
6243123345400
733532501431
oct7347052350
92520771710
101000101096
11473592835
1223ab22260
1312c2741c7
1496b76488
155cc013b6
hex3b9c54e8

1000101096 has 96 divisors (see below), whose sum is σ = 2781309960. Its totient is φ = 324519936.

The previous prime is 1000101079. The next prime is 1000101097. The reversal of 1000101096 is 6901010001.

It can be written as a sum of positive squares in 4 ways, for example, as 999444996 + 656100 = 31614^2 + 810^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1000101097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521836 + ... + 523748.

Almost surely, 21000101096 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 1000101096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390654980).

1000101096 is an abundant number, since it is smaller than the sum of its proper divisors (1781208864).

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

1000101096 is a wasteful number, since it uses less digits than its factorization.

1000101096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1000101096 is about 31624.3750293978. The cubic root of 1000101096 is about 1000.0336975311.

Adding to 1000101096 its reverse (6901010001), we get a palindrome (7901111097).

The spelling of 1000101096 in words is "one billion, one hundred one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 137 159 212 274 318 411 424 477 548 636 822 954 1096 1233 1272 1644 1908 1913 2466 3288 3816 3826 4932 5739 7261 7652 9864 11478 14522 15304 17217 21783 22956 29044 34434 43566 45912 58088 65349 68868 87132 101389 130698 137736 174264 202778 261396 262081 304167 405556 522792 524162 608334 786243 811112 912501 1048324 1216668 1572486 1825002 2096648 2358729 2433336 3144972 3650004 4717458 6289944 7300008 9434916 13890293 18869832 27780586 41670879 55561172 83341758 111122344 125012637 166683516 250025274 333367032 500050548 1000101096