Search a number
-
+
131223311032 = 231117281541577
BaseRepresentation
bin111101000110110000…
…1001101001010111000
3110112201011210212212211
41322031201031022320
54122221131423112
6140141054544504
712323556511552
oct1721541151270
9415634725784
10131223311032
1150719157890
1221522508134
13c4b346b508
1464cbb464d2
1536304560a7
hex1e8d84d2b8

131223311032 has 128 divisors (see below), whose sum is σ = 286234015680. Its totient is φ = 55738368000.

The previous prime is 131223311029. The next prime is 131223311041. The reversal of 131223311032 is 230113322131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131223310994 and 131223311012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227423128 + ... + 227423704.

Almost surely, 2131223311032 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 131223311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143117007840).

131223311032 is an abundant number, since it is smaller than the sum of its proper divisors (155010704648).

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

131223311032 is a wasteful number, since it uses less digits than its factorization.

131223311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131223311032 its reverse (230113322131), we get a palindrome (361336633163).

The spelling of 131223311032 in words is "one hundred thirty-one billion, two hundred twenty-three million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 281 374 541 562 577 748 1082 1124 1154 1496 2164 2248 2308 3091 4328 4616 4777 5951 6182 6347 9197 9554 9809 11902 12364 12694 18394 19108 19618 23804 24728 25388 36788 38216 39236 47608 50776 52547 73576 78472 101167 105094 107899 152021 162137 202334 210188 215798 304042 312157 324274 404668 420376 431596 608084 624314 648548 809336 863192 1216168 1248628 1297096 1672231 1783507 2497256 2584357 2756329 3344462 3433727 3567014 5168714 5306669 5512658 6688924 6867454 7134028 10337428 10613338 11025316 13377848 13734908 14268056 20674856 21226676 22050632 27469816 28427927 30319619 42453352 56855854 58373359 60639238 87716117 113711708 116746718 121278476 175432234 227423416 233493436 242556952 350864468 466986872 701728936 964877287 1491173989 1929754574 2982347978 3859509148 5964695956 7719018296 11929391912 16402913879 32805827758 65611655516 131223311032