Search a number
-
+
11220102220020 = 2235794357543289
BaseRepresentation
bin1010001101000110001000…
…1101010000100011110100
31110201122001012210221120020
42203101202031100203310
52432312232132020040
635510235510005140
72235424410163641
oct243214215204364
943648035727506
1011220102220020
113636467217591
1213126456467b0
1363508835ac75
142ab0ad34adc8
15146cd983bcd0
hexa34623508f4

11220102220020 has 96 divisors (see below), whose sum is σ = 31821321100800. Its totient is φ = 2953470034944.

The previous prime is 11220102220001. The next prime is 11220102220049. The reversal of 11220102220020 is 2002220102211.

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

It is a congruent number.

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, 20380536 + ... + 20923824.

It is an arithmetic number, because the mean of its divisors is an integer number (331472094800).

Almost surely, 211220102220020 is an apocalyptic number.

11220102220020 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 11220102220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910660550400).

11220102220020 is an abundant number, since it is smaller than the sum of its proper divisors (20601218880780).

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

11220102220020 is a wasteful number, since it uses less digits than its factorization.

11220102220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547737 (or 547735 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11220102220020 its reverse (2002220102211), we get a palindrome (13222322322231).

The spelling of 11220102220020 in words is "eleven trillion, two hundred twenty billion, one hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4357 4740 8714 13071 17428 21785 26142 43570 52284 65355 87140 130710 261420 344203 543289 688406 1032609 1086578 1376812 1629867 1721015 2065218 2173156 2716445 3259734 3442030 4130436 5163045 5432890 6519468 6884060 8149335 10326090 10865780 16298670 20652180 32597340 42919831 85839662 128759493 171679324 214599155 257518986 429198310 515037972 643797465 858396620 1287594930 2367110173 2575189860 4734220346 7101330519 9468440692 11835550865 14202661038 23671101730 28405322076 35506652595 47342203460 71013305190 142026610380 187001703667 374003407334 561005111001 748006814668 935008518335 1122010222002 1870017036670 2244020444004 2805025555005 3740034073340 5610051110010 11220102220020