Search a number
-
+
31138100 = 2252744483
BaseRepresentation
bin111011011001…
…0000100110100
32011120222102222
41312302010310
530432404400
63031221512
7525445430
oct166620464
964528388
1031138100
1116638574
12a517898
1365b3016
1441c79c0
152b01185
hex1db2134

31138100 has 36 divisors (see below), whose sum is σ = 77224224. Its totient is φ = 10675680.

The previous prime is 31138091. The next prime is 31138103. The reversal of 31138100 is 183113.

It is a super-2 number, since 2×311381002 = 1939162543220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31138103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21542 + ... + 22941.

Almost surely, 231138100 is an apocalyptic number.

It is an amenable number.

31138100 is an abundant number, since it is smaller than the sum of its proper divisors (46086124).

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

31138100 is a wasteful number, since it uses less digits than its factorization.

31138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44504 (or 44497 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 31138100 is about 5580.1523276699. The cubic root of 31138100 is about 314.6038523912.

The spelling of 31138100 in words is "thirty-one million, one hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 44483 88966 177932 222415 311381 444830 622762 889660 1112075 1245524 1556905 2224150 3113810 4448300 6227620 7784525 15569050 31138100