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201310012314 = 2341990772109
BaseRepresentation
bin1011101101111100000…
…0110000001110011010
3201020121122022012120000
42323133000300032122
511244240330343224
6232251444113430
720354435604615
oct2733700601632
9636548265500
10201310012314
1178414287904
1233022395876
1315ca28514a8
149a5a08b17c
1553834910c9
hex2edf03039a

201310012314 has 80 divisors (see below), whose sum is σ = 475354888800. Its totient is φ = 63500612256.

The previous prime is 201310012279. The next prime is 201310012349. The reversal of 201310012314 is 413210013102.

201310012314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201310012279) and next prime (201310012349).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2755692 + ... + 2827800.

It is an arithmetic number, because the mean of its divisors is an integer number (5941936110).

Almost surely, 2201310012314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201310012314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237677444400).

201310012314 is an abundant number, since it is smaller than the sum of its proper divisors (274044876486).

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

201310012314 is a wasteful number, since it uses less digits than its factorization.

201310012314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73049 (or 73040 counting only the distinct ones).

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

Adding to 201310012314 its reverse (413210013102), we get a palindrome (614520025416).

The spelling of 201310012314 in words is "two hundred one billion, three hundred ten million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 907 1026 1539 1814 2721 3078 5442 8163 16326 17233 24489 34466 48978 51699 72109 73467 103398 144218 146934 155097 216327 310194 432654 465291 648981 930582 1297962 1370071 1395873 1946943 2740142 2791746 3893886 4110213 5840829 8220426 11681658 12330639 24661278 36991917 65402863 73983834 110975751 130805726 196208589 221951502 392417178 588625767 1177251534 1242654397 1765877301 2485308794 3531754602 3727963191 5297631903 7455926382 10595263806 11183889573 22367779146 33551668719 67103337438 100655006157 201310012314