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1020101220 = 2232515736097
BaseRepresentation
bin111100110011011…
…000001001100100
32122002111111210200
4330303120021210
54042121214340
6245120150500
734164501015
oct7463301144
92562444720
101020101220
11483903166
12245768430
131334576b8
14996a100c
155e852330
hex3ccd8264

1020101220 has 72 divisors (see below), whose sum is σ = 3114102264. Its totient is φ = 270286848.

The previous prime is 1020101213. The next prime is 1020101237. The reversal of 1020101220 is 221010201.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 1019269476 = 912^2 + 31926^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10212 + ... + 46308.

Almost surely, 21020101220 is an apocalyptic number.

1020101220 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 1020101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557051132).

1020101220 is an abundant number, since it is smaller than the sum of its proper divisors (2094001044).

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

1020101220 is a wasteful number, since it uses less digits than its factorization.

1020101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36269 (or 36264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020101220 is about 31939.0234665996. The cubic root of 1020101220 is about 1006.6560059590.

Adding to 1020101220 its reverse (221010201), we get a palindrome (1241111421).

The spelling of 1020101220 in words is "one billion, twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 36097 72194 108291 144388 180485 216582 324873 360970 433164 541455 649746 721940 1082910 1299492 1624365 2165820 3248730 5667229 6497460 11334458 17001687 22668916 28336145 34003374 51005061 56672290 68006748 85008435 102010122 113344580 170016870 204020244 255025305 340033740 510050610 1020101220