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1221113220 = 223537563977
BaseRepresentation
bin100100011001000…
…1011010110000100
310011002201222102120
41020302023112010
510000101110340
6321100405540
742155201565
oct11062132604
93132658376
101221113220
11577317488
122a0b468b0
13165ca7502
14b826816c
157230b4d0
hex48c8b584

1221113220 has 96 divisors (see below), whose sum is σ = 3521363328. Its totient is φ = 315942912.

The previous prime is 1221113203. The next prime is 1221113221. The reversal of 1221113220 is 223111221.

It is a super-2 number, since 2×12211132202 = 2982234992117536800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1221113220.

It is not an unprimeable number, because it can be changed into a prime (1221113221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249372 + ... + 1250348.

It is an arithmetic number, because the mean of its divisors is an integer number (36680868).

Almost surely, 21221113220 is an apocalyptic number.

1221113220 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 1221113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760681664).

1221113220 is an abundant number, since it is smaller than the sum of its proper divisors (2300250108).

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

1221113220 is a wasteful number, since it uses less digits than its factorization.

1221113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1221113220 is about 34944.4304575135. The cubic root of 1221113220 is about 1068.8546337145.

Adding to 1221113220 its reverse (223111221), we get a palindrome (1444224441).

The spelling of 1221113220 in words is "one billion, two hundred twenty-one million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 563 740 977 1110 1126 1689 1954 2220 2252 2815 2931 3378 3908 4885 5630 5862 6756 8445 9770 11260 11724 14655 16890 19540 20831 29310 33780 36149 41662 58620 62493 72298 83324 104155 108447 124986 144596 180745 208310 216894 249972 312465 361490 416620 433788 542235 550051 624930 722980 1084470 1100102 1249860 1650153 2168940 2200204 2750255 3300306 5500510 6600612 8250765 11001020 16501530 20351887 33003060 40703774 61055661 81407548 101759435 122111322 203518870 244222644 305278305 407037740 610556610 1221113220