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1220110300 = 22521011071129
BaseRepresentation
bin100100010111001…
…0110011111011100
310011000212000200101
41020232112133130
54444322012200
6321023110444
742143523613
oct11056263734
93130760611
101220110300
115767a1a22
122a0742424
13165a15b76
14b808687a
15721ae26a
hex48b967dc

1220110300 has 72 divisors (see below), whose sum is σ = 2701233360. Its totient is φ = 478272000.

The previous prime is 1220110291. The next prime is 1220110319. The reversal of 1220110300 is 30110221.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 1080136 + ... + 1081264.

It is an arithmetic number, because the mean of its divisors is an integer number (37517130).

Almost surely, 21220110300 is an apocalyptic number.

1220110300 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 1220110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350616680).

1220110300 is an abundant number, since it is smaller than the sum of its proper divisors (1481123060).

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

1220110300 is a wasteful number, since it uses less digits than its factorization.

1220110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1220110300 is about 34930.0772973665. The cubic root of 1220110300 is about 1068.5619310444.

Adding to 1220110300 its reverse (30110221), we get a palindrome (1250220521).

The spelling of 1220110300 in words is "one billion, two hundred twenty million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 107 202 214 404 428 505 535 1010 1070 1129 2020 2140 2258 2525 2675 4516 5050 5350 5645 10100 10700 10807 11290 21614 22580 28225 43228 54035 56450 108070 112900 114029 120803 216140 228058 241606 270175 456116 483212 540350 570145 604015 1080700 1140290 1208030 2280580 2416060 2850725 3020075 5701450 6040150 11402900 12080300 12201103 24402206 48804412 61005515 122011030 244022060 305027575 610055150 1220110300