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1120141220 = 2251117535651
BaseRepresentation
bin100001011000011…
…1111111110100100
32220001202001212212
41002300333332210
54243224004340
6303052302552
736521020562
oct10260777644
92801661785
101120141220
11525321750
12273171a58
1314b0b3473
14a8aa2a32
1568513a65
hex42c3ffa4

1120141220 has 96 divisors (see below), whose sum is σ = 2768846976. Its totient is φ = 376064000.

The previous prime is 1120141199. The next prime is 1120141223. The reversal of 1120141220 is 221410211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120141195 and 1120141204.

It is not an unprimeable number, because it can be changed into a prime (1120141223) by changing a digit.

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, 195395 + ... + 201045.

It is an arithmetic number, because the mean of its divisors is an integer number (28842156).

Almost surely, 21120141220 is an apocalyptic number.

1120141220 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 1120141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384423488).

1120141220 is an abundant number, since it is smaller than the sum of its proper divisors (1648705756).

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

1120141220 is a wasteful number, since it uses less digits than its factorization.

1120141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1120141220 is about 33468.5108721616. The cubic root of 1120141220 is about 1038.5424663940.

Adding to 1120141220 its reverse (221410211), we get a palindrome (1341551431).

The spelling of 1120141220 in words is "one billion, one hundred twenty million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 170 187 212 220 265 340 374 530 583 748 901 935 1060 1166 1802 1870 2332 2915 3604 3740 4505 5651 5830 9010 9911 11302 11660 18020 19822 22604 28255 39644 49555 56510 62161 96067 99110 113020 124322 192134 198220 248644 299503 310805 384268 480335 599006 621610 960670 1056737 1198012 1243220 1497515 1921340 2113474 2995030 3294533 4226948 5091551 5283685 5990060 6589066 10183102 10567370 13178132 16472665 20366204 21134740 25457755 32945330 50915510 56007061 65890660 101831020 112014122 224028244 280035305 560070610 1120141220