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117122010 = 23517297919
BaseRepresentation
bin1101111101100…
…10001111011010
322011101102012020
412332302033122
5214440401020
615342155310
72621343405
oct676621732
9264342166
10117122010
1160126555
1233282b36
131b359c85
14117aad3c
15a437c40
hex6fb23da

117122010 has 64 divisors (see below), whose sum is σ = 307929600. Its totient is φ = 28378112.

The previous prime is 117122009. The next prime is 117122011. The reversal of 117122010 is 10221711.

It is an interprime number because it is at equal distance from previous prime (117122009) and next prime (117122011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (117122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10831 + ... + 18749.

It is an arithmetic number, because the mean of its divisors is an integer number (4811400).

Almost surely, 2117122010 is an apocalyptic number.

117122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800).

117122010 is an abundant number, since it is smaller than the sum of its proper divisors (190807590).

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

117122010 is a wasteful number, since it uses less digits than its factorization.

117122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975.

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 117122010 is about 10822.2922710487. The cubic root of 117122010 is about 489.2672791615.

Adding to 117122010 its reverse (10221711), we get a palindrome (127343721).

The spelling of 117122010 in words is "one hundred seventeen million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 986 1479 2465 2958 4930 7395 7919 14790 15838 23757 39595 47514 79190 118785 134623 229651 237570 269246 403869 459302 673115 688953 807738 1148255 1346230 1377906 2019345 2296510 3444765 3904067 4038690 6889530 7808134 11712201 19520335 23424402 39040670 58561005 117122010