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10212121980 = 223456303779
BaseRepresentation
bin10011000001011000…
…01001110101111100
3222100200220112210000
421200230021311330
5131403300400410
64405201114300
7511031414244
oct114054116574
928320815700
1010212121980
114370527435
121b90028990
13c6992a138
146cc3bcb24
153eb80ddc0
hex260b09d7c

10212121980 has 60 divisors (see below), whose sum is σ = 32035809960. Its totient is φ = 2723232096.

The previous prime is 10212121961. The next prime is 10212121981. The reversal of 10212121980 is 8912121201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212121981) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3150270 + ... + 3153509.

It is an arithmetic number, because the mean of its divisors is an integer number (533930166).

Almost surely, 210212121980 is an apocalyptic number.

10212121980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212121980 is an abundant number, since it is smaller than the sum of its proper divisors (21823687980).

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

10212121980 is a wasteful number, since it uses less digits than its factorization.

10212121980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303800 (or 6303789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 10212121980 in words is "ten billion, two hundred twelve million, one hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6303779 12607558 18911337 25215116 31518895 37822674 56734011 63037790 75645348 94556685 113468022 126075580 170202033 189113370 226936044 283670055 340404066 378226740 510606099 567340110 680808132 851010165 1021212198 1134680220 1702020330 2042424396 2553030495 3404040660 5106060990 10212121980