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2107004031 = 3211194723833
BaseRepresentation
bin111110110010110…
…0101010001111111
312102211200220011100
41331211211101333
513303343112111
6545024224143
7103133144616
oct17545452177
95384626140
102107004031
11991392350
124a976b053
132776a0b62
1415db9087d
15c4e9c756
hex7d96547f

2107004031 has 48 divisors (see below), whose sum is σ = 3569379840. Its totient is φ = 1183973760.

The previous prime is 2107004017. The next prime is 2107004051. The reversal of 2107004031 is 1304007012.

It is not a de Polignac number, because 2107004031 - 217 = 2106872959 is a prime.

It is a super-2 number, since 2×21070040312 = 8878931973300497922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2107003995 and 2107004013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107004051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76491 + ... + 100323.

It is an arithmetic number, because the mean of its divisors is an integer number (74362080).

Almost surely, 22107004031 is an apocalyptic number.

2107004031 is a deficient number, since it is larger than the sum of its proper divisors (1462375809).

2107004031 is a wasteful number, since it uses less digits than its factorization.

2107004031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916 (or 23913 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2107004031 is about 45902.1135787885. The cubic root of 2107004031 is about 1282.0012702368.

The spelling of 2107004031 in words is "two billion, one hundred seven million, four thousand, thirty-one".

Divisors: 1 3 9 11 19 33 47 57 99 141 171 209 423 517 627 893 1551 1881 2679 4653 8037 9823 23833 29469 71499 88407 214497 262163 452827 786489 1120151 1358481 2359467 3360453 4075443 4981097 10081359 12321661 14943291 21282869 36964983 44829873 63848607 110894949 191545821 234111559 702334677 2107004031