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1010100014 = 27311243283
BaseRepresentation
bin111100001101001…
…110011100101110
32121101200101201122
4330031032130232
54032041200024
6244121540542
734013465000
oct7415163456
92541611648
101010100014
114791a2100
12242344752
13131365421
149821a370
155da28d5e
hex3c34e72e

1010100014 has 96 divisors (see below), whose sum is σ = 1994361600. Its totient is φ = 383034960.

The previous prime is 1010100011. The next prime is 1010100019. The reversal of 1010100014 is 4100010101.

It is a junction number, because it is equal to n+sod(n) for n = 1010099974 and 1010100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100011) 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 47 ways as a sum of consecutive naturals, for example, 3569117 + ... + 3569399.

It is an arithmetic number, because the mean of its divisors is an integer number (20774600).

Almost surely, 21010100014 is an apocalyptic number.

1010100014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1010100014 is a deficient number, since it is larger than the sum of its proper divisors (984261586).

1010100014 is a wasteful number, since it uses less digits than its factorization.

1010100014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1010100014 is about 31782.0706373893. The cubic root of 1010100014 is about 1003.3554000315.

Adding to 1010100014 its reverse (4100010101), we get a palindrome (5110110115).

The spelling of 1010100014 in words is "one billion, ten million, one hundred thousand, fourteen".

Divisors: 1 2 7 11 14 22 43 49 77 86 98 121 154 242 283 301 343 473 539 566 602 686 847 946 1078 1694 1981 2107 3113 3311 3773 3962 4214 5203 5929 6226 6622 7546 10406 11858 12169 13867 14749 21791 23177 24338 27734 29498 34243 36421 41503 43582 46354 68486 72842 83006 85183 97069 133859 152537 162239 170366 194138 239701 254947 267718 305074 324478 479402 509894 596281 937013 1067759 1192562 1472449 1677907 1784629 1874026 2135518 2944898 3355814 3569258 4173967 6559091 8347934 10307143 11745349 13118182 20614286 23490698 45913637 72150001 91827274 144300002 505050007 1010100014