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1153141220 = 2257111395387
BaseRepresentation
bin100010010111011…
…1000100111100100
32222100211122101002
41010232320213210
54330201004340
6310231452432
740401352520
oct10456704744
92870748332
101153141220
11541a11080
12282227118
13154b98aaa
14ad212d80
156b381715
hex44bb89e4

1153141220 has 96 divisors (see below), whose sum is σ = 3041418240. Its totient is φ = 356768640.

The previous prime is 1153141207. The next prime is 1153141237. The reversal of 1153141220 is 221413511.

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 = 1153141192 and 1153141201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211367 + ... + 216753.

It is an arithmetic number, because the mean of its divisors is an integer number (31681440).

Almost surely, 21153141220 is an apocalyptic number.

1153141220 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 1153141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520709120).

1153141220 is an abundant number, since it is smaller than the sum of its proper divisors (1888277020).

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

1153141220 is a wasteful number, since it uses less digits than its factorization.

1153141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1153141220 is about 33957.9330937559. The cubic root of 1153141220 is about 1048.6426057644.

Adding to 1153141220 its reverse (221413511), we get a palindrome (1374554731).

The spelling of 1153141220 in words is "one billion, one hundred fifty-three million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 139 140 154 220 278 308 385 556 695 770 973 1390 1529 1540 1946 2780 3058 3892 4865 5387 6116 7645 9730 10703 10774 15290 19460 21406 21548 26935 30580 37709 42812 53515 53870 59257 75418 107030 107740 118514 150836 188545 214060 237028 296285 377090 414799 592570 748793 754180 829598 1185140 1497586 1659196 2073995 2995172 3743965 4147990 5241551 7487930 8236723 8295980 10483102 14975860 16473446 20966204 26207755 32946892 41183615 52415510 57657061 82367230 104831020 115314122 164734460 230628244 288285305 576570610 1153141220