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1004023212 = 223477125073
BaseRepresentation
bin111011110110000…
…010110110101100
32120222020122220220
4323312002312230
54024012220322
6243343411340
733611025243
oct7366026654
92528218826
101004023212
11475821555
122402b3b50
1313001849a
14974b795a
155d22855c
hex3bd82dac

1004023212 has 48 divisors (see below), whose sum is σ = 2426360832. Its totient is φ = 322927360.

The previous prime is 1004023201. The next prime is 1004023219. The reversal of 1004023212 is 2123204001.

It is a super-2 number, since 2×10040232122 = 2016125220469593888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004023191 and 1004023200.

It is not an unprimeable number, because it can be changed into a prime (1004023219) 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 15 ways as a sum of consecutive naturals, for example, 27508 + ... + 52580.

It is an arithmetic number, because the mean of its divisors is an integer number (50549184).

Almost surely, 21004023212 is an apocalyptic number.

1004023212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004023212 is an abundant number, since it is smaller than the sum of its proper divisors (1422337620).

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

1004023212 is a wasteful number, since it uses less digits than its factorization.

1004023212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25198 (or 25196 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1004023212 is about 31686.3253155048. The cubic root of 1004023212 is about 1001.3392762052.

Adding to 1004023212 its reverse (2123204001), we get a palindrome (3127227213).

The spelling of 1004023212 in words is "one billion, four million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 47 71 94 141 142 188 213 282 284 426 564 852 3337 6674 10011 13348 20022 25073 40044 50146 75219 100292 150438 300876 1178431 1780183 2356862 3535293 3560366 4713724 5340549 7070586 7120732 10681098 14141172 21362196 83668601 167337202 251005803 334674404 502011606 1004023212