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151311006 = 232711109171
BaseRepresentation
bin10010000010011…
…01001010011110
3101112201101200100
421001031022132
5302213423011
623003041530
73515056650
oct1101151236
9345641610
10151311006
1178458220
12428102a6
132546a852
141614a6d0
15d43cd56
hex904d29e

151311006 has 48 divisors (see below), whose sum is σ = 408739968. Its totient is φ = 39301200.

The previous prime is 151310993. The next prime is 151311007. The reversal of 151311006 is 600113151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 151311006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151311007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53200 + ... + 55971.

It is an arithmetic number, because the mean of its divisors is an integer number (8515416).

Almost surely, 2151311006 is an apocalyptic number.

151311006 is an abundant number, since it is smaller than the sum of its proper divisors (257428962).

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

151311006 is a wasteful number, since it uses less digits than its factorization.

151311006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109197 (or 109194 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 151311006 is about 12300.8538728009. The cubic root of 151311006 is about 532.8727430574.

Adding to 151311006 its reverse (600113151), we get a palindrome (751424157).

The spelling of 151311006 in words is "one hundred fifty-one million, three hundred eleven thousand, six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 109171 218342 327513 655026 764197 982539 1200881 1528394 1965078 2292591 2401762 3602643 4585182 6877773 7205286 8406167 10807929 13755546 16812334 21615858 25218501 50437002 75655503 151311006