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10212010140 = 22351374872551
BaseRepresentation
bin10011000001010111…
…01110100010011100
3222100200200212100210
421200223232202130
5131403233311030
64405154452420
7511030440213
oct114053564234
928320625323
1010212010140
114370460402
121b8bb94110
13c698bb267
146cc39007a
153eb7dabb0
hex260aee89c

10212010140 has 96 divisors (see below), whose sum is σ = 28872797184. Its totient is φ = 2696716800.

The previous prime is 10212010099. The next prime is 10212010153. The reversal of 10212010140 is 4101021201.

It is a happy number.

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

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, 4001865 + ... + 4004415.

It is an arithmetic number, because the mean of its divisors is an integer number (300758304).

Almost surely, 210212010140 is an apocalyptic number.

10212010140 is a gapful number since it is divisible by the number (10) 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 10212010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436398592).

10212010140 is an abundant number, since it is smaller than the sum of its proper divisors (18660787044).

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

10212010140 is a wasteful number, since it uses less digits than its factorization.

10212010140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3185 counting only the distinct ones).

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

Adding to 10212010140 its reverse (4101021201), we get a palindrome (14313031341).

The spelling of 10212010140 in words is "ten billion, two hundred twelve million, ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 487 548 685 822 974 1370 1461 1644 1948 2055 2435 2551 2740 2922 4110 4870 5102 5844 7305 7653 8220 9740 10204 12755 14610 15306 25510 29220 30612 38265 51020 66719 76530 133438 153060 200157 266876 333595 349487 400314 667190 698974 800628 1000785 1048461 1242337 1334380 1397948 1747435 2001570 2096922 2484674 3494870 3727011 4003140 4193844 4969348 5242305 6211685 6989740 7454022 10484610 12423370 14908044 18635055 20969220 24846740 37270110 74540220 170200169 340400338 510600507 680800676 851000845 1021201014 1702001690 2042402028 2553002535 3404003380 5106005070 10212010140