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20133152340 = 22357265310487
BaseRepresentation
bin10010110000000001…
…111000011001010100
31220222010002002220220
4102300001320121110
5312213041333330
613125443154340
71311626654100
oct226001703124
956863062826
1020133152340
1185a1704384
123a9a6759b0
131b8b1581c2
14d8dc66900
157cc7bd710
hex4b0078654

20133152340 has 144 divisors (see below), whose sum is σ = 65683239552. Its totient is φ = 4594377984.

The previous prime is 20133152339. The next prime is 20133152341. The reversal of 20133152340 is 4325133102.

It is an interprime number because it is at equal distance from previous prime (20133152339) and next prime (20133152341).

It is a self number, because there is not a number n which added to its sum of digits gives 20133152340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133152341) by changing a digit.

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, 1914577 + ... + 1925063.

It is an arithmetic number, because the mean of its divisors is an integer number (456133608).

Almost surely, 220133152340 is an apocalyptic number.

20133152340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133152340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32841619776).

20133152340 is an abundant number, since it is smaller than the sum of its proper divisors (45550087212).

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

20133152340 is a wasteful number, since it uses less digits than its factorization.

20133152340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 20133152340 its reverse (4325133102), we get a palindrome (24458285442).

The spelling of 20133152340 in words is "twenty billion, one hundred thirty-three million, one hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 653 735 980 1306 1470 1959 2612 2940 3265 3918 4571 6530 7836 9142 9795 10487 13060 13713 18284 19590 20974 22855 27426 31461 31997 39180 41948 45710 52435 54852 62922 63994 68565 73409 91420 95991 104870 125844 127988 137130 146818 157305 159985 191982 209740 220227 274260 293636 314610 319970 367045 383964 440454 479955 513863 629220 639940 734090 880908 959910 1027726 1101135 1468180 1541589 1919820 2055452 2202270 2569315 3083178 4404540 5138630 6166356 6848011 7707945 10277260 13696022 15415890 20544033 27392044 30831780 34240055 41088066 47936077 68480110 82176132 95872154 102720165 136960220 143808231 191744308 205440330 239680385 287616462 335552539 410880660 479360770 575232924 671105078 719041155 958721540 1006657617 1342210156 1438082310 1677762695 2013315234 2876164620 3355525390 4026630468 5033288085 6711050780 10066576170 20133152340