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2023301210320 = 2451323101983009
BaseRepresentation
bin11101011100010110001…
…001100110000011010000
321011102111100011222102201
4131130112021212003100
5231122210102212240
64145254114452544
7266115201344605
oct35342611460320
97142440158381
102023301210320
11710093870aa5
12288167594154
13118a47b561a0
146dcdd3886ac
153796d989d9a
hex1d7162660d0

2023301210320 has 160 divisors (see below), whose sum is σ = 5291548819200. Its totient is φ = 713874112512.

The previous prime is 2023301210291. The next prime is 2023301210323. The reversal of 2023301210320 is 230121033202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023301210323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24332976 + ... + 24415984.

It is an arithmetic number, because the mean of its divisors is an integer number (33072180120).

Almost surely, 22023301210320 is an apocalyptic number.

2023301210320 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 2023301210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645774409600).

2023301210320 is an abundant number, since it is smaller than the sum of its proper divisors (3268247608880).

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

2023301210320 is a wasteful number, since it uses less digits than its factorization.

2023301210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84077 (or 84071 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2023301210320 its reverse (230121033202), we get a palindrome (2253422243522).

The spelling of 2023301210320 in words is "two trillion, twenty-three billion, three hundred one million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1019 1040 1196 1495 1840 2038 2392 2990 4076 4784 5095 5980 8152 10190 11960 13247 16304 20380 23437 23920 26494 40760 46874 52988 66235 81520 83009 93748 105976 117185 132470 166018 187496 211952 234370 264940 304681 332036 374992 415045 468740 529880 609362 664072 830090 937480 1059760 1079117 1218724 1328144 1523405 1660180 1874960 1909207 2158234 2437448 3046810 3320360 3818414 4316468 4874896 5395585 6093620 6640720 7636828 8632936 9546035 10791170 12187240 15273656 17265872 19092070 21582340 24374480 24819691 30547312 38184140 43164680 49639382 76368280 84586171 86329360 99278764 124098455 152736560 169172342 198557528 248196910 338344684 397115056 422930855 496393820 676689368 845861710 992787640 1099620223 1353378736 1691723420 1945481933 1985575280 2199240446 3383446840 3890963866 4398480892 5498101115 6766893680 7781927732 8796961784 9727409665 10996202230 15563855464 17593923568 19454819330 21992404460 25291265129 31127710928 38909638660 43984808920 50582530258 77819277320 87969617840 101165060516 126456325645 155638554640 202330121032 252912651290 404660242064 505825302580 1011650605160 2023301210320