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10301400112014 = 233111071033156901
BaseRepresentation
bin1001010111100111101101…
…0010110101101110001110
31100110210201021201100012000
42111321323102311232032
52322234231412041024
633524221535253130
72112152204130114
oct225717322655616
940423637640160
1010301400112014
113311887896190
1211a459207a1a6
1359955807487b
1427883a1b1ab4
1512ce6a4b9cc9
hex95e7b4b5b8e

10301400112014 has 128 divisors (see below), whose sum is σ = 25231046607360. Its totient is φ = 3089448864000.

The previous prime is 10301400112009. The next prime is 10301400112049. The reversal of 10301400112014 is 41021100410301.

It is a super-2 number, since 2×103014001120142 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65576964 + ... + 65733864.

It is an arithmetic number, because the mean of its divisors is an integer number (197117551620).

Almost surely, 210301400112014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301400112014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615523303680).

10301400112014 is an abundant number, since it is smaller than the sum of its proper divisors (14929646495346).

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

10301400112014 is a wasteful number, since it uses less digits than its factorization.

10301400112014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158063 (or 158057 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10301400112014 its reverse (41021100410301), we get a palindrome (51322500522315).

The spelling of 10301400112014 in words is "ten trillion, three hundred one billion, four hundred million, one hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 594 642 963 1033 1177 1926 2066 2354 2889 3099 3531 5778 6198 7062 9297 10593 11363 18594 21186 22726 27891 31779 34089 55782 63558 68178 102267 110531 156901 204534 221062 306801 313802 331593 470703 613602 663186 941406 994779 1215841 1412109 1725911 1989558 2431682 2824218 2984337 3451822 3647523 4236327 5177733 5968674 7295046 8472654 10355466 10942569 15533199 16788407 21885138 31066398 32827707 33576814 46599597 50365221 65655414 93199194 100730442 151095663 162078733 184672477 302191326 324157466 369344954 453286989 486236199 554017431 906573978 972472398 1108034862 1458708597 1662052293 1782866063 2917417194 3324104586 3565732126 4376125791 4986156879 5348598189 8752251582 9972313758 10697196378 16045794567 17342424431 32091589134 34684848862 48137383701 52027273293 96274767402 104054546586 156081819879 190766668741 312163639758 381533337482 468245459637 572300006223 936490919274 1144600012446 1716900018669 3433800037338 5150700056007 10301400112014