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1133004041220 = 223553839424661
BaseRepresentation
bin10000011111001100010…
…011011010110000000100
311000022110222222202221210
4100133030103122300010
5122030343013304340
62224254520411420
7144566616310032
oct20371423326004
94008428882853
101133004041220
113a7560275717
12163700916b70
1382ac363b14c
143cba288b552
151e7131bb180
hex107cc4dac04

1133004041220 has 96 divisors (see below), whose sum is σ = 3236128277760. Its totient is φ = 296079746560.

The previous prime is 1133004041177. The next prime is 1133004041263. The reversal of 1133004041220 is 221404003311.

It is an interprime number because it is at equal distance from previous prime (1133004041177) and next prime (1133004041263).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455690 + ... + 2880350.

It is an arithmetic number, because the mean of its divisors is an integer number (33709669560).

Almost surely, 21133004041220 is an apocalyptic number.

1133004041220 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 1133004041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618064138880).

1133004041220 is an abundant number, since it is smaller than the sum of its proper divisors (2103124236540).

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

1133004041220 is a wasteful number, since it uses less digits than its factorization.

1133004041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425565 (or 425563 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1133004041220 its reverse (221404003311), we get a palindrome (1354408044531).

The spelling of 1133004041220 in words is "one trillion, one hundred thirty-three billion, four million, forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 839 1060 1590 1678 2517 3180 3356 4195 5034 8390 10068 12585 16780 25170 44467 50340 88934 133401 177868 222335 266802 424661 444670 533604 667005 849322 889340 1273983 1334010 1698644 2123305 2547966 2668020 4246610 5095932 6369915 8493220 12739830 22507033 25479660 45014066 67521099 90028132 112535165 135042198 225070330 270084396 337605495 356290579 450140660 675210990 712581158 1068871737 1350421980 1425162316 1781452895 2137743474 3562905790 4275486948 5344358685 7125811580 10688717370 18883400687 21377434740 37766801374 56650202061 75533602748 94417003435 113300404122 188834006870 226600808244 283251010305 377668013740 566502020610 1133004041220