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100101006 = 23219292693
BaseRepresentation
bin1011111011101…
…10101110001110
320222100122202200
411331312232032
5201111213011
613533302330
72323562445
oct575665616
9228318680
10100101006
1151560405
12296349a6
131797a785
14d419d5c
158bc4856
hex5f76b8e

100101006 has 24 divisors (see below), whose sum is σ = 228301320. Its totient is φ = 31610736.

The previous prime is 100100927. The next prime is 100101007. The reversal of 100101006 is 600101001.

It is a super-2 number, since 2×1001010062 = 20040422804424072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146005 + ... + 146688.

It is an arithmetic number, because the mean of its divisors is an integer number (9512555).

Almost surely, 2100101006 is an apocalyptic number.

100101006 is an abundant number, since it is smaller than the sum of its proper divisors (128200314).

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

100101006 is a wasteful number, since it uses less digits than its factorization.

100101006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292720 (or 292717 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100101006 is about 10005.0490253671. The cubic root of 100101006 is about 464.3151068819.

Adding to 100101006 its reverse (600101001), we get a palindrome (700202007).

The spelling of 100101006 in words is "one hundred million, one hundred one thousand, six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 292693 585386 878079 1756158 2634237 5268474 5561167 11122334 16683501 33367002 50050503 100101006