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20101102020220 = 225131272609233329
BaseRepresentation
bin1001001001000001001110…
…00010111010011001111100
32122011122110100202021110011
410210200213002322121330
510113314024104121340
6110430152505153004
74143154022016214
oct444404702723174
978148410667404
1020101102020220
11644a914068251
12230788a48b764
13b2a6ab200840
144d6c817c5244
1524cd20c050ea
hex1248270ba67c

20101102020220 has 96 divisors (see below), whose sum is σ = 45835121203200. Its totient is φ = 7360650952704.

The previous prime is 20101102020149. The next prime is 20101102020227. The reversal of 20101102020220 is 2202020110102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20101102020220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101102020227) 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, 86032516 + ... + 86265844.

It is an arithmetic number, because the mean of its divisors is an integer number (477449179200).

Almost surely, 220101102020220 is an apocalyptic number.

20101102020220 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 20101102020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22917560601600).

20101102020220 is an abundant number, since it is smaller than the sum of its proper divisors (25734019182980).

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

20101102020220 is a wasteful number, since it uses less digits than its factorization.

20101102020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236087 (or 236085 counting only the distinct ones).

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

Adding to 20101102020220 its reverse (2202020110102), we get a palindrome (22303122130322).

The spelling of 20101102020220 in words is "twenty trillion, one hundred one billion, one hundred two million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 2609 3302 5218 6604 8255 10436 13045 16510 26090 33020 33917 52180 67834 135668 169585 233329 331343 339170 466658 662686 678340 933316 1166645 1325372 1656715 2333290 3033277 3313430 4307459 4666580 6066554 6626860 8614918 12133108 15166385 17229836 21537295 29632783 30332770 43074590 59265566 60665540 86149180 118531132 148163915 296327830 385226179 592655660 608755361 770452358 1217510722 1540904716 1926130895 2435021444 3043776805 3852261790 6087553610 7704523580 7913819693 12175107220 15827639386 31655278772 39569098465 77311930847 79138196930 154623861694 158276393860 309247723388 386559654235 773119308470 1005055101011 1546238616940 2010110202022 4020220404044 5025275505055 10050551010110 20101102020220