Search a number
-
+
23151545010 = 23351112761379
BaseRepresentation
bin10101100011111100…
…001000101010110010
32012202110201100021000
4111203330020222302
5334403243420020
614345145542430
71446500612526
oct254374105262
965673640230
1023151545010
119900497480
1245a14a4a16
13224c5ac379
141198a99d86
15907797090
hex563f08ab2

23151545010 has 128 divisors (see below), whose sum is σ = 67881369600. Its totient is φ = 5568212160.

The previous prime is 23151545003. The next prime is 23151545017. The reversal of 23151545010 is 1054515132.

23151545010 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 154 + 501 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23151545003) and next prime (23151545017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23151545017) 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 63 ways as a sum of consecutive naturals, for example, 346501 + ... + 407879.

It is an arithmetic number, because the mean of its divisors is an integer number (530323200).

Almost surely, 223151545010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23151545010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33940684800).

23151545010 is an abundant number, since it is smaller than the sum of its proper divisors (44729824590).

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

23151545010 is a wasteful number, since it uses less digits than its factorization.

23151545010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61533 (or 61527 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 23151545010 in words is "twenty-three billion, one hundred fifty-one million, five hundred forty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 127 135 165 198 254 270 297 330 381 495 594 635 762 990 1143 1270 1397 1485 1905 2286 2794 2970 3429 3810 4191 5715 6858 6985 8382 11430 12573 13970 17145 20955 25146 34290 37719 41910 61379 62865 75438 122758 125730 184137 188595 306895 368274 377190 552411 613790 675169 920685 1104822 1350338 1657233 1841370 2025507 2762055 3314466 3375845 4051014 5524110 6076521 6751690 7795133 8286165 10127535 12153042 15590266 16572330 18229563 20255070 23385399 30382605 36459126 38975665 46770798 60765210 70156197 77951330 85746463 91147815 116926995 140312394 171492926 182295630 210468591 233853990 257239389 350780985 420937182 428732315 514478778 701561970 771718167 857464630 1052342955 1286196945 1543436334 2104685910 2315154501 2572393890 3858590835 4630309002 7717181670 11575772505 23151545010