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210232231220120 = 235131971412910007
BaseRepresentation
bin101111110011010010000001…
…011101100101001110011000
31000120101000010122212121212112
4233303102001131211032120
5210023421102143020440
62023043204223331452
762165530446533654
oct5763220135451630
91016330118777775
10210232231220120
1160a93a9686526a
121b6b44b8a50b88
13903ca78141445
1439cb419725a64
151948951db7965
hexbf3481765398

210232231220120 has 128 divisors (see below), whose sum is σ = 477287492774400. Its totient is φ = 83336499916800.

The previous prime is 210232231220101. The next prime is 210232231220129. The reversal of 210232231220120 is 21022132232012.

It is a happy number.

210232231220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210232231220129) 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, 21008512157 + ... + 21008522163.

It is an arithmetic number, because the mean of its divisors is an integer number (3728808537300).

Almost surely, 2210232231220120 is an apocalyptic number.

210232231220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210232231220120 is an abundant number, since it is smaller than the sum of its proper divisors (267055261554280).

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

210232231220120 is a wasteful number, since it uses less digits than its factorization.

210232231220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15249 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 210232231220120 its reverse (21022132232012), we get a palindrome (231254363452132).

The spelling of 210232231220120 in words is "two hundred ten trillion, two hundred thirty-two billion, two hundred thirty-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 971 1048 1310 1942 2620 3884 4129 4855 5240 7768 8258 9710 10007 16516 19420 20014 20645 33032 38840 40028 41290 50035 80056 82580 100070 127201 165160 200140 254402 400280 508804 540899 636005 1017608 1081798 1272010 1310917 2163596 2544020 2621834 2704495 4009259 4327192 5088040 5243668 5408990 6554585 8018518 9716797 10487336 10817980 13109170 16037036 19433594 20046295 21635960 26218340 32074072 38867188 40092590 41318903 48583985 52436680 77734376 80185180 82637806 97167970 160370360 165275612 194335940 206594515 330551224 388671880 413189030 525212929 826378060 1050425858 1272900407 1652756120 2100851716 2545800814 2626064645 4201703432 5091601628 5252129290 5412776293 6364502035 10183203256 10504258580 10825552586 12729004070 21008517160 21651105172 25458008140 27063881465 40120654813 43302210344 50916016280 54127762930 80241309626 108255525860 160482619252 200603274065 216511051720 320965238504 401206548130 802413096260 1604826192520 5255805780503 10511611561006 21023223122012 26279028902515 42046446244024 52558057805030 105116115610060 210232231220120