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231321001120 = 25511433303539
BaseRepresentation
bin1101011101101111001…
…1100101110010100000
3211010002011021101201221
43113123303211302200
512242221134013440
6254133431504424
722466231032036
oct3273363456240
9733064241657
10231321001120
118a1147469a0
12389b8b28114
1318a76293231
14b2a5b56556
15603d03ad4a
hex35dbce5ca0

231321001120 has 96 divisors (see below), whose sum is σ = 597556128960. Its totient is φ = 83922186240.

The previous prime is 231321001111. The next prime is 231321001129. The reversal of 231321001120 is 21100123132.

It is an interprime number because it is at equal distance from previous prime (231321001111) and next prime (231321001129).

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

It is a junction number, because it is equal to n+sod(n) for n = 231321001094 and 231321001103.

It is not an unprimeable number, because it can be changed into a prime (231321001129) 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, 610311 + ... + 913849.

It is an arithmetic number, because the mean of its divisors is an integer number (6224543010).

Almost surely, 2231321001120 is an apocalyptic number.

231321001120 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 231321001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298778064480).

231321001120 is an abundant number, since it is smaller than the sum of its proper divisors (366235127840).

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

231321001120 is a wasteful number, since it uses less digits than its factorization.

231321001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303998 (or 303990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 231321001120 its reverse (21100123132), we get a palindrome (252421124252).

The spelling of 231321001120 in words is "two hundred thirty-one billion, three hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 433 440 866 880 1732 1760 2165 3464 4330 4763 6928 8660 9526 13856 17320 19052 23815 34640 38104 47630 69280 76208 95260 152416 190520 303539 381040 607078 762080 1214156 1517695 2428312 3035390 3338929 4856624 6070780 6677858 9713248 12141560 13355716 16694645 24283120 26711432 33389290 48566240 53422864 66778580 106845728 131432387 133557160 262864774 267114320 525729548 534228640 657161935 1051459096 1314323870 1445756257 2102918192 2628647740 2891512514 4205836384 5257295480 5783025028 7228781285 10514590960 11566050056 14457562570 21029181920 23132100112 28915125140 46264200224 57830250280 115660500560 231321001120