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131834898 = 233131711047
BaseRepresentation
bin1111101101110…
…10010000010010
3100012001220111000
413312322100102
5232222204043
621025402430
73160402206
oct766722022
9305056430
10131834898
1168465568
1238199416
132140ba20
141371ab06
15b8922d3
hex7dba412

131834898 has 64 divisors (see below), whose sum is σ = 334091520. Its totient is φ = 38174976.

The previous prime is 131834897. The next prime is 131834921. The reversal of 131834898 is 898438131.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131834891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6411 + ... + 17457.

It is an arithmetic number, because the mean of its divisors is an integer number (5220180).

Almost surely, 2131834898 is an apocalyptic number.

131834898 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131834898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167045760).

131834898 is an abundant number, since it is smaller than the sum of its proper divisors (202256622).

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

131834898 is a wasteful number, since it uses less digits than its factorization.

131834898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11088 (or 11082 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 131834898 is about 11481.9379026365. The cubic root of 131834898 is about 508.9519654430.

It can be divided in two parts, 13183 and 4898, that added together give a palindrome (18081).

The spelling of 131834898 in words is "one hundred thirty-one million, eight hundred thirty-four thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 11047 11934 22094 33141 66282 99423 143611 187799 198846 287222 298269 375598 430833 563397 596538 861666 1126794 1292499 1690191 2441387 2584998 3380382 3877497 4882774 5070573 7324161 7754994 10141146 14648322 21972483 43944966 65917449 131834898