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101302014 = 231117247113
BaseRepresentation
bin1100000100110…
…11111011111110
321001121200020110
412002123323332
5201413131024
614015130450
72340024102
oct602337376
9231550213
10101302014
1152200780
1229b13a26
1317cab328
14d64d902
158d60629
hex609befe

101302014 has 96 divisors (see below), whose sum is σ = 241906176. Its totient is φ = 28026880.

The previous prime is 101302009. The next prime is 101302063. The reversal of 101302014 is 410203101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 896422 + ... + 896534.

It is an arithmetic number, because the mean of its divisors is an integer number (2519856).

Almost surely, 2101302014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101302014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120953088).

101302014 is an abundant number, since it is smaller than the sum of its proper divisors (140604162).

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

101302014 is a wasteful number, since it uses less digits than its factorization.

101302014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101302014 is about 10064.8901633351. The cubic root of 101302014 is about 466.1646743740.

Adding to 101302014 its reverse (410203101), we get a palindrome (511505115).

The spelling of 101302014 in words is "one hundred one million, three hundred two thousand, fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 47 51 66 94 102 113 141 187 226 282 289 339 374 517 561 578 678 799 867 1034 1122 1243 1551 1598 1734 1921 2397 2486 3102 3179 3729 3842 4794 5311 5763 6358 7458 8789 9537 10622 11526 13583 15933 17578 19074 21131 26367 27166 31866 32657 40749 42262 52734 58421 63393 65314 81498 90287 97971 116842 126786 149413 175263 180574 195942 270861 298826 350526 359227 448239 541722 718454 896478 993157 1077681 1534879 1986314 2155362 2979471 3069758 4604637 5958942 9209274 16883669 33767338 50651007 101302014