Search a number
-
+
1232221320220 = 2251113154179031
BaseRepresentation
bin10001111011100110000…
…111010011010000011100
311100210120121210202211211
4101323212013103100130
5130142042124221340
62342024043154204
7155011410256102
oct21734607232034
94323517722754
101232221320220
114356448a1960
1217a990515964
138c275c37767
14438d599dc72
15220bd8435ea
hex11ee61d341c

1232221320220 has 96 divisors (see below), whose sum is σ = 2849749765632. Its totient is φ = 443832480000.

The previous prime is 1232221320217. The next prime is 1232221320221. The reversal of 1232221320220 is 220231222321.

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 = 1232221320191 and 1232221320200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232221320221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15552105 + ... + 15631135.

It is an arithmetic number, because the mean of its divisors is an integer number (29684893392).

Almost surely, 21232221320220 is an apocalyptic number.

1232221320220 is a gapful number since it is divisible by the number (10) 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 1232221320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424874882816).

1232221320220 is an abundant number, since it is smaller than the sum of its proper divisors (1617528445412).

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

1232221320220 is a wasteful number, since it uses less digits than its factorization.

1232221320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79723 (or 79721 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1232221320220 its reverse (220231222321), we get a palindrome (1452452542541).

The spelling of 1232221320220 in words is "one trillion, two hundred thirty-two billion, two hundred twenty-one million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 541 655 1082 1310 1441 2164 2620 2705 2882 5410 5764 5951 7205 10820 11902 14410 23804 28820 29755 59510 70871 79031 119020 141742 158062 283484 316124 354355 395155 708710 779581 790310 869341 1417420 1559162 1580620 1738682 3118324 3477364 3897905 4346705 7795810 8693410 10353061 15591620 17386820 20706122 41412244 42755771 51765305 85511542 103530610 113883671 171023084 207061220 213778855 227767342 427557710 455534684 470313481 569418355 855115420 940626962 1138836710 1881253924 2277673420 2351567405 4703134810 5601006001 9406269620 11202012002 22404024004 28005030005 56010060010 61611066011 112020120020 123222132022 246444264044 308055330055 616110660110 1232221320220