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1000106996 = 227313733089
BaseRepresentation
bin111011100111000…
…110101111110100
32120200212200212212
4323213012233310
54022011410441
6243123432552
733532524560
oct7347065764
92520780785
101000106996
11473597209
1223ab25758
1312c276ab5
1496b786a0
155cc02eeb
hex3b9c6bf4

1000106996 has 48 divisors (see below), whose sum is σ = 2070942720. Its totient is φ = 413544960.

The previous prime is 1000106981. The next prime is 1000107011. The reversal of 1000106996 is 6996010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000106981) and next prime (1000107011).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322220 + ... + 325308.

It is an arithmetic number, because the mean of its divisors is an integer number (43144640).

Almost surely, 21000106996 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 1000106996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035471360).

1000106996 is an abundant number, since it is smaller than the sum of its proper divisors (1070835724).

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

1000106996 is a wasteful number, since it uses less digits than its factorization.

1000106996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 1000106996 is about 31624.4683117361. The cubic root of 1000106996 is about 1000.0356640614.

Adding to 1000106996 its reverse (6996010001), we get a palindrome (7996116997).

The spelling of 1000106996 in words is "one billion, one hundred six thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 62 124 217 373 434 746 868 1492 2611 3089 5222 6178 10444 11563 12356 21623 23126 43246 46252 80941 86492 95759 161882 191518 323764 383036 670313 1152197 1340626 2304394 2681252 4608788 8065379 16130758 32261516 35718107 71436214 142872428 250026749 500053498 1000106996