Search a number
-
+
231021200032 = 2572199779943
BaseRepresentation
bin1101011100100111101…
…1111100001010100000
3211002022021010220221221
43113021323330022200
512241112411400112
6254044002024424
722455630541300
oct3271173741240
9732267126857
10231021200032
1189a804989a7
1238934648114
1318a29134b3c
14b277dd5600
156021a6ae07
hex35c9efc2a0

231021200032 has 144 divisors (see below), whose sum is σ = 562674651840. Its totient is φ = 92829929472.

The previous prime is 231021199987. The next prime is 231021200077. The reversal of 231021200032 is 230002120132.

It is an interprime number because it is at equal distance from previous prime (231021199987) and next prime (231021200077).

It is a super-3 number, since 3×2310212000323 (a number of 35 digits) contains 333 as substring.

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 = 231021199979 and 231021200015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2849853 + ... + 2929795.

It is an arithmetic number, because the mean of its divisors is an integer number (3907462860).

Almost surely, 2231021200032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231021200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281337325920).

231021200032 is an abundant number, since it is smaller than the sum of its proper divisors (331653451808).

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

231021200032 is a wasteful number, since it uses less digits than its factorization.

231021200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80083 (or 80068 counting only the distinct ones).

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

Adding to 231021200032 its reverse (230002120132), we get a palindrome (461023320164).

The spelling of 231021200032 in words is "two hundred thirty-one billion, twenty-one million, two hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 97 98 112 133 152 194 196 224 266 304 388 392 532 608 679 776 784 931 1064 1358 1552 1568 1843 1862 2128 2716 3104 3686 3724 4256 4753 5432 7372 7448 9506 10864 12901 14744 14896 19012 21728 25802 29488 29792 38024 51604 58976 76048 79943 90307 103208 152096 159886 180614 206416 319772 361228 412832 559601 639544 722456 1119202 1279088 1444912 1518917 2238404 2558176 2889824 3037834 3917207 4476808 6075668 7754471 7834414 8953616 10632419 12151336 15508942 15668828 17907232 21264838 24302672 31017884 31337656 42529676 48605344 54281297 62035768 62675312 74426933 85059352 108562594 124071536 125350624 147334949 148853866 170118704 217125188 248143072 294669898 297707732 340237408 379969079 434250376 589339796 595415464 759938158 868500752 1031344643 1178679592 1190830928 1519876316 1737001504 2062689286 2357359184 2381661856 3039752632 4125378572 4714718368 6079505264 7219412501 8250757144 12159010528 14438825002 16501514288 28877650004 33003028576 57755300008 115510600016 231021200032