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38237680101 = 3197322940129
BaseRepresentation
bin100011100111001001…
…001011000111100101
310122200211221102002010
4203213021023013211
51111302321230401
625322142104433
72522364626625
oct434711130745
9118624842063
1038237680101
11152421a0015
1274b187b119
1337b4c2611a
141bca502885
15edbe22ed6
hex8e724b1e5

38237680101 has 32 divisors (see below), whose sum is σ = 54641008000. Its totient is φ = 23714684928.

The previous prime is 38237680087. The next prime is 38237680147. The reversal of 38237680101 is 10108673283.

38237680101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38237680101 - 213 = 38237671909 is a prime.

It is a super-2 number, since 2×382376801012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38237680101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38237680181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932805 + ... + 972933.

It is an arithmetic number, because the mean of its divisors is an integer number (1707531500).

Almost surely, 238237680101 is an apocalyptic number.

It is an amenable number.

38237680101 is a deficient number, since it is larger than the sum of its proper divisors (16403327899).

38237680101 is a wasteful number, since it uses less digits than its factorization.

38237680101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40453.

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 38237680101 in words is "thirty-eight billion, two hundred thirty-seven million, six hundred eighty thousand, one hundred one".

Divisors: 1 3 19 57 73 219 229 687 1387 4161 4351 13053 16717 40129 50151 120387 317623 762451 952869 2287353 2929417 8788251 9189541 27568623 55658923 166976769 174601279 523803837 670836493 2012509479 12745893367 38237680101