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314212122 = 2367171811
BaseRepresentation
bin10010101110100…
…111111100011010
3210220020122000000
4102232213330122
51120414241442
651102353430
710533521220
oct2256477432
9726218000
10314212122
11151401244
128928b876
1350135943
142da32b10
151c8b9d4c
hex12ba7f1a

314212122 has 112 divisors (see below), whose sum is σ = 855582912. Its totient is φ = 84447360.

The previous prime is 314212121. The next prime is 314212123. The reversal of 314212122 is 221212413.

It is a happy number.

314212122 is a `hidden beast` number, since 31 + 421 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (314212121) and next prime (314212123).

It is a super-2 number, since 2×3142121222 = 197458515223485768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314212095 and 314212104.

It is not an unprimeable number, because it can be changed into a prime (314212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 172597 + ... + 174407.

Almost surely, 2314212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427791456).

314212122 is an abundant number, since it is smaller than the sum of its proper divisors (541370790).

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

314212122 is a wasteful number, since it uses less digits than its factorization.

314212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1840 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 314212122 is about 17726.0295046578. The cubic root of 314212122 is about 679.8414581369.

Adding to 314212122 its reverse (221212413), we get a palindrome (535424535).

The spelling of 314212122 in words is "three hundred fourteen million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 729 918 1071 1134 1377 1458 1701 1811 2142 2754 3213 3402 3622 4131 5103 5433 6426 8262 9639 10206 10866 12393 12677 16299 19278 24786 25354 28917 30787 32598 38031 48897 57834 61574 76062 86751 92361 97794 114093 146691 173502 184722 215509 228186 277083 293382 342279 431018 440073 554166 646527 684558 831249 880146 1026837 1293054 1320219 1662498 1939581 2053674 2493747 2640438 3080511 3879162 4987494 5818743 6161022 7481241 9241533 11637486 14962482 17456229 18483066 22443723 34912458 44887446 52368687 104737374 157106061 314212122