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220032122130 = 232552111174201
BaseRepresentation
bin1100110011101011101…
…1111011110100010010
3210000221102020221000200
43030322323323310102
512101111210402010
6245025324000030
721616413115302
oct3147273736422
9700842227020
10220032122130
1185351440037
1236788390016
1317997562992
14a914769602
155acbe37cc0
hex333aefbd12

220032122130 has 96 divisors (see below), whose sum is σ = 573831271728. Its totient is φ = 58496256000.

The previous prime is 220032122113. The next prime is 220032122147. The reversal of 220032122130 is 31221230022.

It is an interprime number because it is at equal distance from previous prime (220032122113) and next prime (220032122147).

It can be written as a sum of positive squares in 8 ways, for example, as 448973721 + 219583148409 = 21189^2 + 468597^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52374030 + ... + 52378230.

Almost surely, 2220032122130 is an apocalyptic number.

220032122130 is an abundant number, since it is smaller than the sum of its proper divisors (353799149598).

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

220032122130 is a wasteful number, since it uses less digits than its factorization.

220032122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220032122130 its reverse (31221230022), we get a palindrome (251253352152).

The spelling of 220032122130 in words is "two hundred twenty billion, thirty-two million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 521 1042 1117 1563 2234 2605 3126 3351 4201 4689 5210 5585 6702 7815 8402 9378 10053 11170 12603 15630 16755 20106 21005 23445 25206 33510 37809 42010 46890 50265 63015 75618 100530 126030 189045 378090 581957 1163914 1745871 2188721 2909785 3491742 4377442 4692517 5237613 5819570 6566163 8729355 9385034 10475226 10943605 13132326 14077551 17458710 19698489 21887210 23462585 26188065 28155102 32830815 39396978 42232653 46925170 52376130 65661630 70387755 84465306 98492445 140775510 196984890 211163265 422326530 2444801357 4889602714 7334404071 12224006785 14668808142 22003212213 24448013570 36672020355 44006424426 73344040710 110016061065 220032122130