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23024003101020 = 22325251809629921
BaseRepresentation
bin1010011110000101100011…
…00001101011000101011100
310000112001222100210122121100
411033002301201223011130
511004211124243213040
6120545025255233100
74564300155203235
oct517026141530534
9100461870718540
1023024003101020
117377474574889
1226ba258078790
13cb020095759c
14598520d5a08c
1529dd919ceb30
hex14f0b186b15c

23024003101020 has 144 divisors (see below), whose sum is σ = 70204504537440. Its totient is φ = 6107704320000.

The previous prime is 23024003101003. The next prime is 23024003101031. The reversal of 23024003101020 is 2010130042032.

23024003101020 is a `hidden beast` number, since 2 + 302 + 40 + 0 + 310 + 10 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23024003100984 and 23024003101002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36235660 + ... + 36865580.

It is an arithmetic number, because the mean of its divisors is an integer number (487531281510).

Almost surely, 223024003101020 is an apocalyptic number.

23024003101020 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 23024003101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35102252268720).

23024003101020 is an abundant number, since it is smaller than the sum of its proper divisors (47180501436420).

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

23024003101020 is a wasteful number, since it uses less digits than its factorization.

23024003101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630996 (or 630991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23024003101020 its reverse (2010130042032), we get a palindrome (25034133143052).

The spelling of 23024003101020 in words is "twenty-three trillion, twenty-four billion, three million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 809 1004 1255 1506 1618 2259 2427 2510 3012 3236 3765 4045 4518 4854 5020 7281 7530 8090 9036 9708 11295 12135 14562 15060 16180 22590 24270 29124 36405 45180 48540 72810 145620 203059 406118 609177 629921 812236 1015295 1218354 1259842 1827531 1889763 2030590 2436708 2519684 3045885 3149605 3655062 3779526 4061180 5669289 6091770 6299210 7310124 7559052 9137655 9448815 11338578 12183540 12598420 18275310 18897630 22677156 28346445 36550620 37795260 56692890 113385780 158110171 316220342 474330513 509606089 632440684 790550855 948661026 1019212178 1422991539 1528818267 1581101710 1897322052 2038424356 2371652565 2548030445 2845983078 3057636534 3162203420 4586454801 4743305130 5096060890 5691966156 6115273068 7114957695 7644091335 9172909602 9486610260 10192121780 14229915390 15288182670 18345819204 22932274005 28459830780 30576365340 45864548010 91729096020 127911128339 255822256678 383733385017 511644513356 639555641695 767466770034 1151200155051 1279111283390 1534933540068 1918666925085 2302400310102 2558222566780 3837333850170 4604800620204 5756000775255 7674667700340 11512001550510 23024003101020