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231212112320 = 2657751137443
BaseRepresentation
bin1101011101010101010…
…0001101100111000000
3211002210120101021101102
43113111110031213000
512242010300043240
6254114541553532
722463436346010
oct3272524154700
9732716337342
10231212112320
118a069234152
12389885758a8
1318a598598a7
14b2954cdc40
1560336cc815
hex35d550d9c0

231212112320 has 112 divisors (see below), whose sum is σ = 630069685248. Its totient is φ = 79166592000.

The previous prime is 231212112227. The next prime is 231212112323. The reversal of 231212112320 is 23211212132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231212112292 and 231212112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231212112323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1613519 + ... + 1750961.

Almost surely, 2231212112320 is an apocalyptic number.

231212112320 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 231212112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315034842624).

231212112320 is an abundant number, since it is smaller than the sum of its proper divisors (398857572928).

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

231212112320 is a wasteful number, since it uses less digits than its factorization.

231212112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138218 (or 138208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 231212112320 its reverse (23211212132), we get a palindrome (254423324452).

The spelling of 231212112320 in words is "two hundred thirty-one billion, two hundred twelve million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 751 1120 1502 2240 3004 3755 5257 6008 7510 10514 12016 15020 21028 24032 26285 30040 42056 48064 52570 60080 84112 105140 120160 137443 168224 210280 240320 274886 336448 420560 549772 687215 841120 962101 1099544 1374430 1682240 1924202 2199088 2748860 3848404 4398176 4810505 5497720 7696808 8796352 9621010 10995440 15393616 19242020 21990880 30787232 38484040 43981760 61574464 76968080 103219693 153936160 206439386 307872320 412878772 516098465 722537851 825757544 1032196930 1445075702 1651515088 2064393860 2890151404 3303030176 3612689255 4128787720 5780302808 6606060352 7225378510 8257575440 11560605616 14450757020 16515150880 23121211232 28901514040 33030301760 46242422464 57803028080 115606056160 231212112320