Search a number
-
+
101630214 = 234733159
BaseRepresentation
bin1100000111011…
…00000100000110
321002020100110000
412003230010012
5202004131324
614030142130
72342562000
oct603540406
9232210400
10101630214
1152405314
122a051946
131809482a
14d6d7370
158dc79c9
hex60ec106

101630214 has 160 divisors (see below), whose sum is σ = 278784000. Its totient is φ = 27624240.

The previous prime is 101630197. The next prime is 101630219. The reversal of 101630214 is 412036101.

It is a happy number.

101630214 is a `hidden beast` number, since 10 + 1 + 630 + 21 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101630219) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1722517 + ... + 1722575.

It is an arithmetic number, because the mean of its divisors is an integer number (1742400).

Almost surely, 2101630214 is an apocalyptic number.

101630214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101630214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139392000).

101630214 is an abundant number, since it is smaller than the sum of its proper divisors (177153786).

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

101630214 is an equidigital number, since it uses as much as digits as its factorization.

101630214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101630214 is about 10081.1811807942. The cubic root of 101630214 is about 466.6675611094.

Adding to 101630214 its reverse (412036101), we get a palindrome (513666315).

The spelling of 101630214 in words is "one hundred one million, six hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 59 62 63 81 93 98 118 126 147 162 177 186 189 217 279 294 343 354 378 413 434 441 531 558 567 651 686 826 837 882 1029 1062 1134 1239 1302 1323 1519 1593 1674 1829 1953 2058 2478 2511 2646 2891 3038 3087 3186 3658 3717 3906 3969 4557 4779 5022 5487 5782 5859 6174 7434 7938 8673 9114 9261 9558 10633 10974 11151 11718 12803 13671 16461 17346 17577 18522 20237 21266 22302 25606 26019 27342 27783 31899 32922 33453 35154 38409 40474 41013 49383 52038 55566 60711 63798 66906 76818 78057 82026 89621 95697 98766 115227 121422 123039 148149 156114 179242 182133 191394 230454 234171 246078 268863 287091 296298 345681 364266 468342 537726 546399 574182 627347 691362 806589 861273 1037043 1092798 1254694 1613178 1639197 1722546 1882041 2074086 2419767 3278394 3764082 4839534 5646123 7259301 11292246 14518602 16938369 33876738 50815107 101630214