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20231213200 = 24521128116363
BaseRepresentation
bin10010110101110111…
…111101000010010000
31221012221121010010121
4102311313331002100
5312413142310300
613143305040024
71314230321602
oct226567750220
957187533117
1020231213200
118641aa0a10
123b07486014
131ba5570193
14d9ccb1172
157d61dd81a
hex4b5dfd090

20231213200 has 120 divisors (see below), whose sum is σ = 53216120736. Its totient is φ = 7330176000.

The previous prime is 20231213183. The next prime is 20231213203. The reversal of 20231213200 is 231213202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20231213203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228219 + ... + 1244581.

Almost surely, 220231213200 is an apocalyptic number.

20231213200 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 20231213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26608060368).

20231213200 is an abundant number, since it is smaller than the sum of its proper divisors (32984907536).

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

20231213200 is a wasteful number, since it uses less digits than its factorization.

20231213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16673 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20231213200 its reverse (231213202), we get a palindrome (20462426402).

It can be divided in two parts, 202312 and 13200, that added together give a palindrome (215512).

The spelling of 20231213200 in words is "twenty billion, two hundred thirty-one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 281 400 440 550 562 880 1100 1124 1405 2200 2248 2810 3091 4400 4496 5620 6182 7025 11240 12364 14050 15455 16363 22480 24728 28100 30910 32726 49456 56200 61820 65452 77275 81815 112400 123640 130904 154550 163630 179993 247280 261808 309100 327260 359986 409075 618200 654520 719972 818150 899965 1236400 1309040 1439944 1636300 1799930 2879888 3272600 3599860 4499825 4598003 6545200 7199720 8999650 9196006 14399440 17999300 18392012 22990015 35998600 36784024 45980030 50578033 71997200 73568048 91960060 101156066 114950075 183920120 202312132 229900150 252890165 367840240 404624264 459800300 505780330 809248528 919600600 1011560660 1264450825 1839201200 2023121320 2528901650 4046242640 5057803300 10115606600 20231213200