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100056001521 = 3729414007209
BaseRepresentation
bin101110100101111001…
…1010110101111110001
3100120021002000111220010
41131023303112233301
53114403314022041
6113544243205133
710141323660150
oct1351363265761
9316232014803
10100056001521
1139485005953
12174846767a9
1395872b9738
144bb267b597
1529090eca16
hex174bcd6bf1

100056001521 has 32 divisors (see below), whose sum is σ = 161570707200. Its totient is φ = 53856875520.

The previous prime is 100056001453. The next prime is 100056001523. The reversal of 100056001521 is 125100650001.

It is not a de Polignac number, because 100056001521 - 29 = 100056001009 is a prime.

It is a super-2 number, since 2×1000560015212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100056001523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1978636 + ... + 2028573.

It is an arithmetic number, because the mean of its divisors is an integer number (5049084600).

Almost surely, 2100056001521 is an apocalyptic number.

It is an amenable number.

100056001521 is a deficient number, since it is larger than the sum of its proper divisors (61514705679).

100056001521 is a wasteful number, since it uses less digits than its factorization.

100056001521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007289.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 100056001521 its reverse (125100650001), we get a palindrome (225156651522).

The spelling of 100056001521 in words is "one hundred billion, fifty-six million, one thousand, five hundred twenty-one".

Divisors: 1 3 7 21 29 41 87 123 203 287 609 861 1189 3567 8323 24969 4007209 12021627 28050463 84151389 116209061 164295569 348627183 492886707 813463427 1150068983 2440390281 3450206949 4764571501 14293714503 33352000507 100056001521