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202020100101220 = 225311795333341333
BaseRepresentation
bin101101111011110001111000…
…010011011101010001100100
3222111021221012010100211211211
4231323301320103131101210
5202434344131111214340
61553354430333241204
760360320260003012
oct5573617023352144
9874257163324754
10202020100101220
1159408274943735
121a7a8a22933204
13889554bb7876b
1437c5b79bb58b2
1518550169ac5ea
hexb7bc784dd464

202020100101220 has 96 divisors (see below), whose sum is σ = 440457830507520. Its totient is φ = 77749640609280.

The previous prime is 202020100101187. The next prime is 202020100101229. The reversal of 202020100101220 is 22101001020202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202020100101220.

It is not an unprimeable number, because it can be changed into a prime (202020100101229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591685674 + ... + 592027006.

It is an arithmetic number, because the mean of its divisors is an integer number (4588102401120).

Almost surely, 2202020100101220 is an apocalyptic number.

202020100101220 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 202020100101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220228915253760).

202020100101220 is an abundant number, since it is smaller than the sum of its proper divisors (238437730406300).

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

202020100101220 is a wasteful number, since it uses less digits than its factorization.

202020100101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346885 (or 346883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202020100101220 its reverse (22101001020202), we get a palindrome (224121101121422).

The spelling of 202020100101220 in words is "two hundred two trillion, twenty billion, one hundred million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 179 310 358 620 716 895 1790 3580 5333 5549 10666 11098 21332 22196 26665 27745 53330 55490 106660 110980 165323 330646 341333 661292 682666 826615 954607 1365332 1653230 1706665 1909214 3306460 3413330 3818428 4773035 6826660 9546070 10581323 19092140 21162646 29592817 42325292 52906615 59185634 61098607 105813230 118371268 122197214 147964085 211626460 244394428 295928170 305493035 591856340 610986070 1221972140 1820328889 1894056817 3640657778 3788113634 7281315556 7576227268 9101644445 9470284085 18203288890 18940568170 36406577780 37881136340 56430195559 112860391118 225720782236 282150977795 325838871131 564301955590 651677742262 1128603911180 1303355484524 1629194355655 3258388711310 6516777422620 10101005005061 20202010010122 40404020020244 50505025025305 101010050050610 202020100101220