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1113221211320 = 235671609258161
BaseRepresentation
bin10000001100110001001…
…001111010010010111000
310221102102022002220002002
4100030301021322102320
5121214334112230240
62211223510000132
7143266442112101
oct20146111722270
93842368086062
101113221211320
1139a129396819
1215b8bb646048
1380c8cc4cb3a
143bc473773a8
151de5654bd15
hex1033127a4b8

1113221211320 has 64 divisors (see below), whose sum is σ = 2543721818400. Its totient is φ = 438368071680.

The previous prime is 1113221211299. The next prime is 1113221211371. The reversal of 1113221211320 is 231121223111.

It is a super-2 number, since 2×11132212113202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1113221211292 and 1113221211301.

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, 4183040 + ... + 4441200.

Almost surely, 21113221211320 is an apocalyptic number.

1113221211320 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 1113221211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271860909200).

1113221211320 is an abundant number, since it is smaller than the sum of its proper divisors (1430500607080).

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

1113221211320 is a wasteful number, since it uses less digits than its factorization.

1113221211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259848 (or 259844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1113221211320 its reverse (231121223111), we get a palindrome (1344342434431).

The spelling of 1113221211320 in words is "one trillion, one hundred thirteen billion, two hundred twenty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 1609 2680 3218 6436 8045 12872 16090 32180 64360 107803 215606 258161 431212 516322 539015 862424 1032644 1078030 1290805 2065288 2156060 2581610 4312120 5163220 10326440 17296787 34593574 69187148 86483935 138374296 172967870 345935740 415381049 691871480 830762098 1661524196 2076905245 3323048392 4153810490 8307620980 16615241960 27830530283 55661060566 111322121132 139152651415 222644242264 278305302830 556610605660 1113221211320