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10114684188 = 22371011192207
BaseRepresentation
bin10010110101110000…
…11101010100011100
3222002220120012020220
421122320131110130
5131203324343223
64351400441340
7505436253120
oct113270352434
928086505226
1010114684188
114320525a34
121b63479250
13c526a293b
146bd497580
153e2eb36e3
hex25ae1d51c

10114684188 has 48 divisors (see below), whose sum is σ = 27239568384. Its totient is φ = 2861294400.

The previous prime is 10114684169. The next prime is 10114684207. The reversal of 10114684188 is 88148641101.

10114684188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10114684169) and next prime (10114684207).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 587620 + ... + 604587.

It is an arithmetic number, because the mean of its divisors is an integer number (567491008).

Almost surely, 210114684188 is an apocalyptic number.

It is an amenable number.

10114684188 is an abundant number, since it is smaller than the sum of its proper divisors (17124884196).

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

10114684188 is a wasteful number, since it uses less digits than its factorization.

10114684188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192322 (or 1192320 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 10114684188 in words is "ten billion, one hundred fourteen million, six hundred eighty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 1192207 2384414 3576621 4768828 7153242 8345449 14306484 16690898 25036347 33381796 50072694 100145388 120412907 240825814 361238721 481651628 722477442 842890349 1444954884 1685780698 2528671047 3371561396 5057342094 10114684188