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210224101210420 = 225114194931462499
BaseRepresentation
bin101111110011001010011100…
…111000000011100100110100
31000120100020011001211100012011
4233303022130320003210310
5210023302424402213140
62023035341401134004
762165122126562533
oct5763123470034464
91016306131740164
10210224101210420
1160a905a4669690
121b6b2a0a18a304
13903c0809ab30b
1439cac87a9831a
15194862828acea
hexbf329ce03934

210224101210420 has 96 divisors (see below), whose sum is σ = 482852664000000. Its totient is φ = 76247050281600.

The previous prime is 210224101210393. The next prime is 210224101210451. The reversal of 210224101210420 is 24012101422012.

210224101210420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 210224101210391 and 210224101210400.

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, 454308331 + ... + 454770829.

It is an arithmetic number, because the mean of its divisors is an integer number (5029715250000).

Almost surely, 2210224101210420 is an apocalyptic number.

210224101210420 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 210224101210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241426332000000).

210224101210420 is an abundant number, since it is smaller than the sum of its proper divisors (272628562789580).

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

210224101210420 is a wasteful number, since it uses less digits than its factorization.

210224101210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467869 (or 467867 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 210224101210420 its reverse (24012101422012), we get a palindrome (234236202632432).

The spelling of 210224101210420 in words is "two hundred ten trillion, two hundred twenty-four billion, one hundred one million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 838 1676 2095 4190 4609 4931 8380 9218 9862 18436 19724 23045 24655 46090 49310 54241 92180 98620 108482 216964 271205 462499 542410 924998 1084820 1849996 2066089 2312495 4132178 4624990 5087489 8264356 9249980 10174978 10330445 20349956 20660890 22726979 25437445 41321780 45453958 50874890 90907916 101749780 113634895 193787081 227269790 387574162 454539580 775148324 968935405 1937870810 2131657891 2280582569 3875741620 4263315782 4561165138 8526631564 9122330276 10658289455 11402912845 21316578910 22805825690 25086408259 42633157820 45611651380 50172816518 100345633036 125432041295 250864082590 501728165180 955564096411 1911128192822 3822256385644 4777820482055 9555640964110 10511205060521 19111281928220 21022410121042 42044820242084 52556025302605 105112050605210 210224101210420