Search a number
-
+
1220101022328 = 2332312717404157
BaseRepresentation
bin10001110000010011101…
…100000010001001111000
311022122021221022211210220
4101300103230002021320
5124442231330203303
62332301235140040
7154102145400456
oct21602354021170
94278257284726
101220101022328
11430495245741
12178569444620
138b093ba3566
14430a5dc99d6
1521b0e75e053
hex11c13b02278

1220101022328 has 64 divisors (see below), whose sum is σ = 3207934402560. Its totient is φ = 385954563456.

The previous prime is 1220101022321. The next prime is 1220101022369. The reversal of 1220101022328 is 8232201010221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1220101022298 and 1220101022307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220101022321) 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, 8631975 + ... + 8772182.

It is an arithmetic number, because the mean of its divisors is an integer number (50123975040).

Almost surely, 21220101022328 is an apocalyptic number.

It is an amenable number.

1220101022328 is an abundant number, since it is smaller than the sum of its proper divisors (1987833380232).

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

1220101022328 is a wasteful number, since it uses less digits than its factorization.

1220101022328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17404316 (or 17404312 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1220101022328 its reverse (8232201010221), we get a palindrome (9452302032549).

The spelling of 1220101022328 in words is "one trillion, two hundred twenty billion, one hundred one million, twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 127 138 184 254 276 381 508 552 762 1016 1524 2921 3048 5842 8763 11684 17526 23368 35052 70104 17404157 34808314 52212471 69616628 104424942 139233256 208849884 400295611 417699768 800591222 1200886833 1601182444 2210327939 2401773666 3202364888 4420655878 4803547332 6630983817 8841311756 9607094664 13261967634 17682623512 26523935268 50837542597 53047870536 101675085194 152512627791 203350170388 305025255582 406700340776 610050511164 1220101022328