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1110221011220 = 225557732113613
BaseRepresentation
bin10000001001111110010…
…101000011100100010100
310221010200012200221020212
4100021332111003210110
5121142213034324340
62210010053144552
7143132211614036
oct20117625034424
93833605627225
101110221011220
113989298aa002
1215b20292b158
13809024c84c9
143ba40b1bc56
151dd2ce68a65
hex1027e543914

1110221011220 has 48 divisors (see below), whose sum is σ = 2336140508688. Its totient is φ = 443198008320.

The previous prime is 1110221011189. The next prime is 1110221011241. The reversal of 1110221011220 is 221101220111.

It can be written as a sum of positive squares in 8 ways, for example, as 867587925136 + 242633086084 = 931444^2 + 492578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1110221011195 and 1110221011204.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 81549134 + ... + 81562746.

It is an arithmetic number, because the mean of its divisors is an integer number (48669593931).

Almost surely, 21110221011220 is an apocalyptic number.

1110221011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110221011220 is an abundant number, since it is smaller than the sum of its proper divisors (1225919497468).

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

1110221011220 is a wasteful number, since it uses less digits than its factorization.

1110221011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21500 (or 21498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1110221011220 its reverse (221101220111), we get a palindrome (1331322231331).

The spelling of 1110221011220 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 557 1114 2228 2785 5570 7321 11140 13613 14642 27226 29284 36605 54452 68065 73210 136130 146420 272260 4077797 7582441 8155594 15164882 16311188 20388985 30329764 37912205 40777970 75824410 81555940 99660773 151648820 199321546 398643092 498303865 996607730 1993215460 55511050561 111022101122 222044202244 277555252805 555110505610 1110221011220