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1220322030030 = 232521180979433
BaseRepresentation
bin10001110000100000110…
…111000111000111001110
311022122212100012012101100
4101300200313013013032
5124443204414430110
62332335212123530
7154110501052005
oct21604067070716
94278770165340
101220322030030
11430598a77034
1217860b4665a6
138b0ca90484c
14430c74b9c3c
1521b23d67bc0
hex11c20dc71ce

1220322030030 has 96 divisors (see below), whose sum is σ = 3191855116320. Its totient is φ = 323472522240.

The previous prime is 1220322029977. The next prime is 1220322030049. The reversal of 1220322030030 is 300302230221.

It is a happy number.

1220322030030 is a `hidden beast` number, since 12 + 2 + 0 + 322 + 0 + 300 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220322029985 and 1220322030012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15323194 + ... + 15402626.

It is an arithmetic number, because the mean of its divisors is an integer number (33248490795).

Almost surely, 21220322030030 is an apocalyptic number.

1220322030030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220322030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595927558160).

1220322030030 is an abundant number, since it is smaller than the sum of its proper divisors (1971533086290).

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

1220322030030 is a wasteful number, since it uses less digits than its factorization.

1220322030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80466 (or 80463 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1220322030030 its reverse (300302230221), we get a palindrome (1520624260251).

The spelling of 1220322030030 in words is "one trillion, two hundred twenty billion, three hundred twenty-two million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 809 1055 1266 1618 1899 2110 2427 3165 3798 4045 4854 6330 7281 8090 9495 12135 14562 18990 24270 36405 72810 79433 158866 170699 238299 341398 397165 476598 512097 714897 794330 853495 1024194 1191495 1429794 1536291 1706990 2382990 2560485 3072582 3574485 5120970 7148970 7681455 15362910 16760363 33520726 50281089 64261297 83801815 100562178 128522594 150843267 167603630 192783891 251405445 301686534 321306485 385567782 502810890 578351673 642612970 754216335 963919455 1156703346 1508432670 1927838910 2891758365 5783516730 13559133667 27118267334 40677401001 67795668335 81354802002 122032203003 135591336670 203387005005 244064406006 406774010010 610161015015 1220322030030