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212078130 = 235113120731
BaseRepresentation
bin11001010010000…
…00111000110010
3112210001200111120
430221000320302
5413243000010
633013323110
75153430405
oct1451007062
9483050446
10212078130
11a9792490
125b036496
1334c25a24
1420247d3c
1513942e70
hexca40e32

212078130 has 64 divisors (see below), whose sum is σ = 573198336. Its totient is φ = 49752000.

The previous prime is 212078123. The next prime is 212078149. The reversal of 212078130 is 31870212.

It is a self number, because there is not a number n which added to its sum of digits gives 212078130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136 + ... + 20595.

It is an arithmetic number, because the mean of its divisors is an integer number (8956224).

Almost surely, 2212078130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212078130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286599168).

212078130 is an abundant number, since it is smaller than the sum of its proper divisors (361120206).

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

212078130 is a wasteful number, since it uses less digits than its factorization.

212078130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20783.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 212078130 is about 14562.9025266257. The cubic root of 212078130 is about 596.3464365023.

The spelling of 212078130 in words is "two hundred twelve million, seventy-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 20731 41462 62193 103655 124386 207310 228041 310965 456082 621930 642661 684123 1140205 1285322 1368246 1927983 2280410 3213305 3420615 3855966 6426610 6841230 7069271 9639915 14138542 19279830 21207813 35346355 42415626 70692710 106039065 212078130