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151712106 = 237131391999
BaseRepresentation
bin10010000101011…
…11000101101010
3101120110202212220
421002233011222
5302314241411
623015414510
73521350230
oct1102570552
9346422786
10151712106
1178701607
1242984436
132557b2a0
1416212950
15d4bbb06
hex90af16a

151712106 has 64 divisors (see below), whose sum is σ = 376320000. Its totient is φ = 39704256.

The previous prime is 151712101. The next prime is 151712111. The reversal of 151712106 is 601217151.

It is an interprime number because it is at equal distance from previous prime (151712101) and next prime (151712111).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151712101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74895 + ... + 76893.

It is an arithmetic number, because the mean of its divisors is an integer number (5880000).

Almost surely, 2151712106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151712106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160000).

151712106 is an abundant number, since it is smaller than the sum of its proper divisors (224607894).

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

151712106 is a wasteful number, since it uses less digits than its factorization.

151712106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163.

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 151712106 is about 12317.1468287100. The cubic root of 151712106 is about 533.3431795925.

Adding to 151712106 its reverse (601217151), we get a palindrome (752929257).

The spelling of 151712106 in words is "one hundred fifty-one million, seven hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 139 182 273 278 417 546 834 973 1807 1946 1999 2919 3614 3998 5421 5838 5997 10842 11994 12649 13993 25298 25987 27986 37947 41979 51974 75894 77961 83958 155922 181909 277861 363818 545727 555722 833583 1091454 1667166 1945027 3612193 3890054 5835081 7224386 10836579 11670162 21673158 25285351 50570702 75856053 151712106