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20213401404220 = 225371091117224351
BaseRepresentation
bin1001001100010010011001…
…00111000100001100111100
32122120101022200212001200121
410212021030213010030330
510122134021224413340
6110553524114504324
74154240634024133
oct446111447041474
978511280761617
1020213401404220
116493501148612
1223255ab2950a4
13b38166bb839b
144dc49611691a
15250be4aeb94a
hex12624c9c433c

20213401404220 has 96 divisors (see below), whose sum is σ = 44034931100160. Its totient is φ = 7787651558400.

The previous prime is 20213401404149. The next prime is 20213401404253. The reversal of 20213401404220 is 2240410431202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89985045 + ... + 90209395.

It is an arithmetic number, because the mean of its divisors is an integer number (458697198960).

Almost surely, 220213401404220 is an apocalyptic number.

20213401404220 is a gapful number since it is divisible by the number (20) 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 20213401404220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22017465550080).

20213401404220 is an abundant number, since it is smaller than the sum of its proper divisors (23821529695940).

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

20213401404220 is a wasteful number, since it uses less digits than its factorization.

20213401404220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225623 (or 225621 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20213401404220 its reverse (2240410431202), we get a palindrome (22453811835422).

The spelling of 20213401404220 in words is "twenty trillion, two hundred thirteen billion, four hundred one million, four hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 436 545 740 1090 1117 2180 2234 4033 4468 5585 8066 11170 16132 20165 22340 40330 41329 80660 82658 121753 165316 206645 224351 243506 413290 448702 487012 608765 826580 897404 1121755 1217530 2243510 2435060 4487020 4504861 8300987 9009722 16601974 18019444 22524305 24454259 33203948 41504935 45048610 48908518 83009870 90097220 97817036 122271295 166019740 244542590 250600067 489085180 501200134 904807583 1002400268 1253000335 1809615166 2506000670 3619230332 4524037915 5012001340 9048075830 9272202479 18096151660 18544404958 27315407303 37088809916 46361012395 54630814606 92722024790 109261629212 136577036515 185444049580 273154073030 546308146060 1010670070211 2021340140422 4042680280844 5053350351055 10106700702110 20213401404220