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135051210 = 23257474561
BaseRepresentation
bin10000000110010…
…11011111001010
3100102010022102200
420003023133022
5234033114320
621222341030
73226626210
oct1003133712
9312108380
10135051210
116a261a78
123928a776
1321c96978
1413d16cb0
15bcca290
hex80cb7ca

135051210 has 96 divisors (see below), whose sum is σ = 409923072. Its totient is φ = 30205440.

The previous prime is 135051197. The next prime is 135051223. The reversal of 135051210 is 12150531.

It is an interprime number because it is at equal distance from previous prime (135051197) and next prime (135051223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27330 + ... + 31890.

It is an arithmetic number, because the mean of its divisors is an integer number (4270032).

Almost surely, 2135051210 is an apocalyptic number.

135051210 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 135051210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204961536).

135051210 is an abundant number, since it is smaller than the sum of its proper divisors (274871862).

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

135051210 is a wasteful number, since it uses less digits than its factorization.

135051210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 135051210 is about 11621.1535571990. The cubic root of 135051210 is about 513.0576408905.

The spelling of 135051210 in words is "one hundred thirty-five million, fifty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 63 70 90 94 105 126 141 210 235 282 315 329 423 470 630 658 705 846 987 1410 1645 1974 2115 2961 3290 4230 4561 4935 5922 9122 9870 13683 14805 22805 27366 29610 31927 41049 45610 63854 68415 82098 95781 136830 159635 191562 205245 214367 287343 319270 410490 428734 478905 574686 643101 957810 1071835 1286202 1436715 1500569 1929303 2143670 2873430 3001138 3215505 3858606 4501707 6431010 7502845 9003414 9646515 13505121 15005690 19293030 22508535 27010242 45017070 67525605 135051210