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21210202120120 = 23513401631161201
BaseRepresentation
bin1001101001010011000101…
…00100000001111110111000
32210002200020110021000102221
410310221202210001332320
510240001443220320440
6113035455441333424
74316246403224236
oct464514244017670
983080213230387
1021210202120120
116838218169a62
122466819937274
13bab1624061c0
145348176bd956
1526bad5556d4a
hex134a62901fb8

21210202120120 has 128 divisors (see below), whose sum is σ = 51604087409280. Its totient is φ = 7799500800000.

The previous prime is 21210202120091. The next prime is 21210202120147. The reversal of 21210202120120 is 2102120201212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21210202120094 and 21210202120103.

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, 131495520 + ... + 131656720.

It is an arithmetic number, because the mean of its divisors is an integer number (403156932885).

Almost surely, 221210202120120 is an apocalyptic number.

21210202120120 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 21210202120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25802043704640).

21210202120120 is an abundant number, since it is smaller than the sum of its proper divisors (30393885289160).

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

21210202120120 is a wasteful number, since it uses less digits than its factorization.

21210202120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162257 (or 162253 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21210202120120 its reverse (2102120201212), we get a palindrome (23312322321332).

The spelling of 21210202120120 in words is "twenty-one trillion, two hundred ten billion, two hundred two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 401 520 631 802 1262 1604 2005 2524 3155 3208 4010 5048 5213 6310 8020 8203 10426 12620 16040 16406 20852 25240 26065 32812 41015 41704 52130 65624 82030 104260 161201 164060 208520 253031 322402 328120 506062 644804 806005 1012124 1265155 1289608 1612010 2024248 2095613 2530310 3224020 3289403 4191226 5060620 6448040 6578806 8382452 10121240 10478065 13157612 16447015 16764904 20956130 26315224 32894030 41912260 64641601 65788060 83824520 101717831 129283202 131576120 203435662 258566404 323208005 406871324 508589155 517132808 646416010 813742648 840340813 1017178310 1292832020 1322331803 1680681626 2034356620 2585664040 2644663606 3361363252 4068713240 4201704065 5289327212 6611659015 6722726504 8403408130 10578654424 13223318030 16806816260 26446636060 33613632520 40788850231 52893272120 81577700462 163155400924 203944251155 326310801848 407888502310 530255053003 815777004620 1060510106006 1631554009240 2121020212012 2651275265015 4242040424024 5302550530030 10605101060060 21210202120120