Search a number
-
+
1213221020 = 2251122371307
BaseRepresentation
bin100100001010000…
…0100100010011100
310010112220000100212
41020110010202130
54441041033040
6320215311552
742031131344
oct11024044234
93115800325
101213221020
11572916a00
1229a37b5b8
1316447317b
14b71b1d24
157179cd65
hex4850489c

1213221020 has 144 divisors (see below), whose sum is σ = 2973003264. Its totient is φ = 414691200.

The previous prime is 1213221017. The next prime is 1213221029. The reversal of 1213221020 is 201223121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1213220986 and 1213221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213221029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951707 + ... + 3952013.

It is an arithmetic number, because the mean of its divisors is an integer number (20645856).

Almost surely, 21213221020 is an apocalyptic number.

1213221020 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 1213221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486501632).

1213221020 is an abundant number, since it is smaller than the sum of its proper divisors (1759782244).

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

1213221020 is a wasteful number, since it uses less digits than its factorization.

1213221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1213221020 is about 34831.3223980945. The cubic root of 1213221020 is about 1066.5469433769.

Adding to 1213221020 its reverse (201223121), we get a palindrome (1414444141).

The spelling of 1213221020 in words is "one billion, two hundred thirteen million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 71 92 110 115 121 142 220 230 242 253 284 307 355 460 484 506 605 614 710 781 1012 1210 1228 1265 1420 1535 1562 1633 2420 2530 2783 3070 3124 3266 3377 3905 5060 5566 6140 6532 6754 7061 7810 8165 8591 11132 13508 13915 14122 15620 16330 16885 17182 17963 21797 27830 28244 32660 33770 34364 35305 35926 37147 42955 43594 55660 67540 70610 71852 74294 77671 85910 87188 89815 108985 141220 148588 155342 171820 179630 185735 197593 217970 239767 310684 359260 371470 388355 395186 435940 479534 501331 742940 776710 790372 854381 959068 987965 1002662 1198835 1553420 1708762 1975930 2005324 2397670 2506655 2637437 3417524 3951860 4271905 4795340 5013310 5274874 5514641 8543810 10026620 10549748 11029282 13187185 17087620 22058564 26374370 27573205 52748740 55146410 60661051 110292820 121322102 242644204 303305255 606610510 1213221020