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20124552120 = 2335434782981
BaseRepresentation
bin10010101111100001…
…000100101110111000
31220221111220011122020
4102233201010232320
5312203341131440
613124534554440
71311463604421
oct225741045670
956844804566
1020124552120
11859786a962
123a97808a20
131b8943680a
14d8ca68648
157cbb703d0
hex4af844bb8

20124552120 has 128 divisors (see below), whose sum is σ = 63092874240. Its totient is φ = 5130155520.

The previous prime is 20124552101. The next prime is 20124552137. The reversal of 20124552120 is 2125542102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 201030 + ... + 284010.

It is an arithmetic number, because the mean of its divisors is an integer number (492913080).

Almost surely, 220124552120 is an apocalyptic number.

20124552120 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 20124552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31546437120).

20124552120 is an abundant number, since it is smaller than the sum of its proper divisors (42968322120).

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

20124552120 is a wasteful number, since it uses less digits than its factorization.

20124552120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83085 (or 83081 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 20124552120 in words is "twenty billion, one hundred twenty-four million, five hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 47 60 86 94 120 129 141 172 188 215 235 258 282 344 376 430 470 516 564 645 705 860 940 1032 1128 1290 1410 1720 1880 2021 2580 2820 4042 5160 5640 6063 8084 10105 12126 16168 20210 24252 30315 40420 48504 60630 80840 82981 121260 165962 242520 248943 331924 414905 497886 663848 829810 995772 1244715 1659620 1991544 2489430 3319240 3568183 3900107 4978860 7136366 7800214 9957720 10704549 11700321 14272732 15600428 17840915 19500535 21409098 23400642 28545464 31200856 35681830 39001070 42818196 46801284 53522745 58501605 71363660 78002140 85636392 93602568 107045490 117003210 142727320 156004280 167704601 214090980 234006420 335409202 428181960 468012840 503113803 670818404 838523005 1006227606 1341636808 1677046010 2012455212 2515569015 3354092020 4024910424 5031138030 6708184040 10062276060 20124552120