Search a number
-
+
3101122002 = 23114110391103
BaseRepresentation
bin1011100011010111…
…0101110111010010
322000010022022122110
42320311311313102
522322341401002
61231415450150
7136564050006
oct27065656722
98003268573
103101122002
111351558950
12726686956
133a562b944
14215c0a706
151323bae6c
hexb8d75dd2

3101122002 has 64 divisors (see below), whose sum is σ = 6944071680. Its totient is φ = 915100800.

The previous prime is 3101121973. The next prime is 3101122007. The reversal of 3101122002 is 2002211013.

It is not an unprimeable number, because it can be changed into a prime (3101122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2810983 + ... + 2812085.

It is an arithmetic number, because the mean of its divisors is an integer number (108501120).

Almost surely, 23101122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472035840).

3101122002 is an abundant number, since it is smaller than the sum of its proper divisors (3842949678).

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

3101122002 is a wasteful number, since it uses less digits than its factorization.

3101122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3101122002 is about 55687.7185921636. The cubic root of 3101122002 is about 1458.2756275993.

Adding to 3101122002 its reverse (2002211013), we get a palindrome (5103333015).

The spelling of 3101122002 in words is "three billion, one hundred one million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1039 1103 1353 2078 2206 2706 3117 3309 6234 6618 11429 12133 22858 24266 34287 36399 42599 45223 68574 72798 85198 90446 127797 135669 255594 271338 468589 497453 937178 994906 1146017 1405767 1492359 2292034 2811534 2984718 3438051 6876102 12606187 25212374 37818561 46986697 75637122 93973394 140960091 281920182 516853667 1033707334 1550561001 3101122002