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1001100100023 = 32111233344447
BaseRepresentation
bin11101001000101100011…
…01110100000110110111
310112201000101110022000100
432210112031310012313
5112400223111200043
62043522105245143
7132220123306512
oct16442615640667
93481011408010
101001100100023
113566229a9371
1214202a4937b3
1373532182bba
143664c5add79
151b09311bcd3
hexe9163741b7

1001100100023 has 6 divisors (see below), whose sum is σ = 1446033477824. Its totient is φ = 667400066676.

The previous prime is 1001100100001. The next prime is 1001100100081. The reversal of 1001100100023 is 3200010011001.

It is not a de Polignac number, because 1001100100023 - 217 = 1001099968951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111233344447 = 1001100100023 / (1 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 0 + 0 + 2 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001100099978 and 1001100100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100100093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55616672215 + ... + 55616672232.

Almost surely, 21001100100023 is an apocalyptic number.

1001100100023 is a deficient number, since it is larger than the sum of its proper divisors (444933377801).

1001100100023 is a wasteful number, since it uses less digits than its factorization.

1001100100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111233344453 (or 111233344450 counting only the distinct ones).

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

Adding to 1001100100023 its reverse (3200010011001), we get a palindrome (4201110111024).

The spelling of 1001100100023 in words is "one trillion, one billion, one hundred million, one hundred thousand, twenty-three".

Divisors: 1 3 9 111233344447 333700033341 1001100100023