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210010201020120 = 233556312172554231
BaseRepresentation
bin101111110000000011001111…
…011011100101011011011000
31000112120210000222212211021210
4233300003033123211123120
5210011301342430120440
62022353204321503120
762143510362140424
oct5760031733453330
91015523028784253
10210010201020120
1160a0890a580806
121b6794734a1aa0
139024b52958287
1439c0795881b84
151942ca984ba80
hexbf00cf6e56d8

210010201020120 has 128 divisors (see below), whose sum is σ = 631668521111040. Its totient is φ = 55857291141120.

The previous prime is 210010201020119. The next prime is 210010201020127. The reversal of 210010201020120 is 21020102010012.

It is a super-2 number, since 2×2100102010201202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210010201020096 and 210010201020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010201020127) 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, 80943405 + ... + 83497635.

It is an arithmetic number, because the mean of its divisors is an integer number (4934910321180).

Almost surely, 2210010201020120 is an apocalyptic number.

210010201020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010201020120 is an abundant number, since it is smaller than the sum of its proper divisors (421658320090920).

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

210010201020120 is a wasteful number, since it uses less digits than its factorization.

210010201020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556025 (or 2556021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210010201020120 its reverse (21020102010012), we get a palindrome (231030303030132).

The spelling of 210010201020120 in words is "two hundred ten trillion, ten billion, two hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 563 1126 1217 1689 2252 2434 2815 3378 3651 4504 4868 5630 6085 6756 7302 8445 9736 11260 12170 13512 14604 16890 18255 22520 24340 29208 33780 36510 48680 67560 73020 146040 685171 1370342 2055513 2554231 2740684 3425855 4111026 5108462 5481368 6851710 7662693 8222052 10216924 10277565 12771155 13703420 15325386 16444104 20433848 20555130 25542310 27406840 30650772 38313465 41110260 51084620 61301544 76626930 82220520 102169240 153253860 306507720 1438032053 2876064106 3108499127 4314096159 5752128212 6216998254 7190160265 8628192318 9325497381 11504256424 12433996508 14380320530 15542495635 17256384636 18650994762 21570480795 24867993016 28760641060 31084991270 34512769272 37301989524 43140961590 46627486905 57521282120 62169982540 74603979048 86281923180 93254973810 124339965080 172563846360 186509947620 373019895240 1750085008501 3500170017002 5250255025503 7000340034004 8750425042505 10500510051006 14000680068008 17500850085010 21001020102012 26251275127515 35001700170020 42002040204024 52502550255030 70003400340040 105005100510060 210010201020120