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131934330 = 232511711877
BaseRepresentation
bin1111101110100…
…10100001111010
3100012020221212200
413313102201322
5232233344310
621031451030
73161265123
oct767224172
9305227780
10131934330
1168523240
1238226a76
1321445068
141374504a
15b8b19c0
hex7dd287a

131934330 has 96 divisors (see below), whose sum is σ = 379686528. Its totient is φ = 31516800.

The previous prime is 131934329. The next prime is 131934337. The reversal of 131934330 is 33439131.

131934330 is a `hidden beast` number, since 1 + 319 + 343 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131934294 and 131934303.

It is not an unprimeable number, because it can be changed into a prime (131934337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69352 + ... + 71228.

It is an arithmetic number, because the mean of its divisors is an integer number (3955068).

Almost surely, 2131934330 is an apocalyptic number.

131934330 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 131934330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189843264).

131934330 is an abundant number, since it is smaller than the sum of its proper divisors (247752198).

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

131934330 is a wasteful number, since it uses less digits than its factorization.

131934330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 131934330 is about 11486.2670176172. The cubic root of 131934330 is about 509.0798865405.

The spelling of 131934330 in words is "one hundred thirty-one million, nine hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1278 1562 1877 2130 2343 3195 3754 3905 4686 5631 6390 7029 7810 9385 11262 11715 14058 16893 18770 20647 23430 28155 33786 35145 41294 56310 61941 70290 84465 103235 123882 133267 168930 185823 206470 266534 309705 371646 399801 619410 666335 799602 929115 1199403 1332670 1465937 1858230 1999005 2398806 2931874 3998010 4397811 5997015 7329685 8795622 11994030 13193433 14659370 21989055 26386866 43978110 65967165 131934330