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1221110020 = 2251323593461
BaseRepresentation
bin100100011001000…
…1010100100000100
310011002201211001001
41020302022210010
510000101010040
6321100343044
742155156344
oct11062124404
93132654031
101221110020
11577315039
122a0b44a84
13165ca5c10
14b8266d24
157230a59a
hex48c8a904

1221110020 has 96 divisors (see below), whose sum is σ = 2931344640. Its totient is φ = 423836160.

The previous prime is 1221109973. The next prime is 1221110071. The reversal of 1221110020 is 200111221.

It is a super-2 number, since 2×12211100202 = 2982219361888800800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1221109979 and 1221110006.

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, 351090 + ... + 354550.

It is an arithmetic number, because the mean of its divisors is an integer number (30534840).

Almost surely, 21221110020 is an apocalyptic number.

1221110020 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 1221110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465672320).

1221110020 is an abundant number, since it is smaller than the sum of its proper divisors (1710234620).

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

1221110020 is a wasteful number, since it uses less digits than its factorization.

1221110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1221110020 is about 34944.3846705018. The cubic root of 1221110020 is about 1068.8537000480.

Adding to 1221110020 its reverse (200111221), we get a palindrome (1421221241).

The spelling of 1221110020 in words is "one billion, two hundred twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 59 65 92 115 118 130 230 236 260 295 299 460 590 598 767 1180 1196 1357 1495 1534 2714 2990 3068 3461 3835 5428 5980 6785 6922 7670 13570 13844 15340 17305 17641 27140 34610 35282 44993 69220 70564 79603 88205 89986 159206 176410 179972 204199 224965 318412 352820 398015 408398 449930 796030 816796 899860 1020995 1034839 1592060 2041990 2069678 2654587 4083980 4139356 4696577 5174195 5309174 9393154 10348390 10618348 13272935 18786308 20696780 23482885 26545870 46965770 53091740 61055501 93931540 122111002 244222004 305277505 610555010 1221110020