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20122113132 = 223211233735923
BaseRepresentation
bin10010101111010111…
…110001010001101100
31220221100022020222100
4102233113301101230
5312202230110012
613124410415100
71311434065602
oct225727612154
956840266870
1020122113132
118596454470
123a96a31490
131b88a91624
14d8c5d1872
157cb83c8dc
hex4af5f146c

20122113132 has 144 divisors (see below), whose sum is σ = 58065815808. Its totient is φ = 5815877760.

The previous prime is 20122113119. The next prime is 20122113139. The reversal of 20122113132 is 23131122102.

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

It is not an unprimeable number, because it can be changed into a prime (20122113139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3394323 + ... + 3400245.

It is an arithmetic number, because the mean of its divisors is an integer number (403234832).

Almost surely, 220122113132 is an apocalyptic number.

20122113132 is a gapful number since it is divisible by the number (22) 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 20122113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29032907904).

20122113132 is an abundant number, since it is smaller than the sum of its proper divisors (37943702676).

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

20122113132 is a wasteful number, since it uses less digits than its factorization.

20122113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20122113132 its reverse (23131122102), we get a palindrome (43253235234).

The spelling of 20122113132 in words is "twenty billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 373 396 414 506 746 759 828 1012 1119 1492 1518 2238 2277 3036 3357 4103 4476 4554 5923 6714 8206 8579 9108 11846 12309 13428 16412 17158 17769 23692 24618 25737 34316 35538 36927 49236 51474 53307 65153 71076 73854 77211 94369 102948 106614 130306 136229 147708 154422 188738 195459 213228 260612 272458 283107 308844 377476 390918 408687 544916 566214 586377 781836 817374 849321 1132428 1172754 1226061 1498519 1634748 1698642 2209279 2345508 2452122 2997038 3397284 4418558 4495557 4904244 5994076 6627837 8837116 8991114 13255674 13486671 17982228 19883511 24302069 26511348 26973342 39767022 48604138 50813417 53946684 72906207 79534044 97208276 101626834 145812414 152440251 203253668 218718621 291624828 304880502 437437242 457320753 558947587 609761004 874874484 914641506 1117895174 1676842761 1829283012 2235790348 3353685522 5030528283 6707371044 10061056566 20122113132