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131899050 = 23352412383
BaseRepresentation
bin1111101110010…
…01111010101010
3100012012011111000
413313021322222
5232231232200
621031015430
73161060223
oct767117252
9305164430
10131899050
11684a9788
123820a576
1321431c9a
141373624a
15b8a6300
hex7dc9eaa

131899050 has 96 divisors (see below), whose sum is σ = 372476160. Its totient is φ = 34300800.

The previous prime is 131899049. The next prime is 131899051. The reversal of 131899050 is 50998131.

131899050 = T1764 + T1765 + ... + T1844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131899049) and next prime (131899051).

It is a junction number, because it is equal to n+sod(n) for n = 131898996 and 131899014.

It is not an unprimeable number, because it can be changed into a prime (131899051) 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 47 ways as a sum of consecutive naturals, for example, 54159 + ... + 56541.

It is an arithmetic number, because the mean of its divisors is an integer number (3879960).

Almost surely, 2131899050 is an apocalyptic number.

131899050 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 131899050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186238080).

131899050 is an abundant number, since it is smaller than the sum of its proper divisors (240577110).

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

131899050 is a wasteful number, since it uses less digits than its factorization.

131899050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 131899050 is about 11484.7311679464. The cubic root of 131899050 is about 509.0345055303.

The spelling of 131899050 in words is "one hundred thirty-one million, eight hundred ninety-nine thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 82 90 123 135 150 205 225 246 270 369 410 450 615 675 738 1025 1107 1230 1350 1845 2050 2214 2383 3075 3690 4766 5535 6150 7149 9225 11070 11915 14298 18450 21447 23830 27675 35745 42894 55350 59575 64341 71490 97703 107235 119150 128682 178725 195406 214470 293109 321705 357450 488515 536175 586218 643410 879327 977030 1072350 1465545 1608525 1758654 2442575 2637981 2931090 3217050 4396635 4885150 5275962 7327725 8793270 13189905 14655450 21983175 26379810 43966350 65949525 131899050