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1220131120 = 245132235261
BaseRepresentation
bin100100010111001…
…1011100100110000
310011000220002020111
41020232123210300
54444323143440
6321023351104
742143641405
oct11056334460
93130802214
101220131120
1157680662a
122a0752494
13165a224a0
14b80902ac
15721b54ea
hex48b9b930

1220131120 has 80 divisors (see below), whose sum is σ = 3069303552. Its totient is φ = 448404480.

The previous prime is 1220131109. The next prime is 1220131127. The reversal of 1220131120 is 211310221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1220131120.

It is not an unprimeable number, because it can be changed into a prime (1220131127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229290 + ... + 234550.

Almost surely, 21220131120 is an apocalyptic number.

1220131120 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 1220131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534651776).

1220131120 is an abundant number, since it is smaller than the sum of its proper divisors (1849172432).

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

1220131120 is a wasteful number, since it uses less digits than its factorization.

1220131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1220131120 is about 34930.3753200563. The cubic root of 1220131120 is about 1068.5680090011.

Adding to 1220131120 its reverse (211310221), we get a palindrome (1431441341).

The spelling of 1220131120 in words is "one billion, two hundred twenty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 223 260 446 520 892 1040 1115 1784 2230 2899 3568 4460 5261 5798 8920 10522 11596 14495 17840 21044 23192 26305 28990 42088 46384 52610 57980 68393 84176 105220 115960 136786 210440 231920 273572 341965 420880 547144 683930 1094288 1173203 1367860 2346406 2735720 4692812 5471440 5866015 9385624 11732030 15251639 18771248 23464060 30503278 46928120 61006556 76258195 93856240 122013112 152516390 244026224 305032780 610065560 1220131120