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231022013200 = 24521153039901
BaseRepresentation
bin1101011100100111111…
…1000010101100010000
3211002022022200020102021
43113021333002230100
512241113113410300
6254044031301224
722455640466116
oct3271177025420
9732268606367
10231022013200
1189a809a3940
123893497a814
1318a2935acc4
14b278167ab6
156021b7bd1a
hex35c9fc2b10

231022013200 has 120 divisors (see below), whose sum is σ = 605663038656. Its totient is φ = 83983680000.

The previous prime is 231022013171. The next prime is 231022013221. The reversal of 231022013200 is 2310220132.

231022013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23328250 + ... + 23338150.

Almost surely, 2231022013200 is an apocalyptic number.

231022013200 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 231022013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302831519328).

231022013200 is an abundant number, since it is smaller than the sum of its proper divisors (374641025456).

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

231022013200 is a wasteful number, since it uses less digits than its factorization.

231022013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15233 (or 15222 counting only the distinct ones).

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

Adding to 231022013200 its reverse (2310220132), we get a palindrome (233332233332).

231022013200 divided by its reverse (2310220132) gives a square (100 = 102).

It can be divided in two parts, 23102 and 2013200, that added together give a palindrome (2036302).

The spelling of 231022013200 in words is "two hundred thirty-one billion, twenty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 5303 9901 10606 19802 21212 26515 39604 42424 49505 53030 58333 79208 84848 99010 106060 108911 116666 132575 158416 198020 212120 217822 233332 247525 265150 291665 396040 424240 435644 466664 495050 530300 544555 583330 792080 871288 933328 990100 1060600 1089110 1166660 1458325 1742576 1980200 2121200 2178220 2333320 2722775 2916650 3960400 4356440 4666640 5445550 5833300 8712880 10891100 11666600 21782200 23333200 43564400 52505003 105010006 210020012 262525015 420040024 525050030 577555033 840080048 1050100060 1155110066 1312625075 2100200120 2310220132 2625250150 2887775165 4200400240 4620440264 5250500300 5775550330 9240880528 10501000600 11551100660 14438875825 21002001200 23102201320 28877751650 46204402640 57755503300 115511006600 231022013200