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100021023 = 3273152239
BaseRepresentation
bin1011111011000…
…11001100011111
320222012121001100
411331203030133
5201101133043
613531444143
72323110324
oct575431437
9228177040
10100021023
1151506303
12295b6653
131795024b
14d3d8b4b
158baacd3
hex5f6331f

100021023 has 12 divisors (see below), whose sum is σ = 146454880. Its totient is φ = 65766816.

The previous prime is 100021003. The next prime is 100021039. The reversal of 100021023 is 320120001.

It is a happy number.

It is not a de Polignac number, because 100021023 - 29 = 100020511 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020996 and 100021014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75463 + ... + 76776.

Almost surely, 2100021023 is an apocalyptic number.

100021023 is a deficient number, since it is larger than the sum of its proper divisors (46433857).

100021023 is a wasteful number, since it uses less digits than its factorization.

100021023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152318 (or 152315 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100021023 is about 10001.0510947600. The cubic root of 100021023 is about 464.1914077895.

Adding to 100021023 its reverse (320120001), we get a palindrome (420141024).

It can be divided in two parts, 10002 and 1023, that added together give a square (11025 = 1052).

The spelling of 100021023 in words is "one hundred million, twenty-one thousand, twenty-three".

Divisors: 1 3 9 73 219 657 152239 456717 1370151 11113447 33340341 100021023