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1220020311220 = 2251714998324499
BaseRepresentation
bin10001110000001110111…
…000001001010010110100
311022122002022110021222121
4101300032320021102310
5124442100144424340
62332245233205324
7154100145353224
oct21601670112264
94278068407877
101220020311220
11430453729247
12178546400844
138b0802545c9
14430993ba084
1521b0761994a
hex11c0ee094b4

1220020311220 has 96 divisors (see below), whose sum is σ = 2733847200000. Its totient is φ = 455736489984.

The previous prime is 1220020311197. The next prime is 1220020311229. The reversal of 1220020311220 is 221130200221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220020311194 and 1220020311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220020311229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49786531 + ... + 49811029.

It is an arithmetic number, because the mean of its divisors is an integer number (28477575000).

Almost surely, 21220020311220 is an apocalyptic number.

1220020311220 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 1220020311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366923600000).

1220020311220 is an abundant number, since it is smaller than the sum of its proper divisors (1513826888780).

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

1220020311220 is a wasteful number, since it uses less digits than its factorization.

1220020311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25657 (or 25655 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1220020311220 its reverse (221130200221), we get a palindrome (1441150511441).

The spelling of 1220020311220 in words is "one trillion, two hundred twenty billion, twenty million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 983 1490 1966 2533 2980 3932 4915 5066 9830 10132 12665 16711 19660 24499 25330 33422 48998 50660 66844 83555 97996 122495 146467 167110 244990 292934 334220 416483 489980 585868 732335 832966 1464670 1665932 2082415 2489939 2929340 3650351 4164830 4979878 7300702 8329660 9959756 12449695 14601404 18251755 24082517 24899390 36503510 48165034 49798780 62055967 73007020 96330068 120412585 124111934 240825170 248223868 310279835 409402789 481650340 620559670 818805578 1241119340 1637611156 2047013945 3588295033 4094027890 7176590066 8188055780 14353180132 17941475165 35882950330 61001015561 71765900660 122002031122 244004062244 305005077805 610010155610 1220020311220