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114130301010 = 235113738924029
BaseRepresentation
bin110101001001010110…
…0100011000001010010
3101220120221022000012120
41222102230203001102
53332214324113020
6124233012235110
711150153360235
oct1522254430122
9356527260176
10114130301010
1144447641420
121a15200ba96
13a9bb1110bb
14574997541c
152e7ea0a740
hex1a92b23052

114130301010 has 128 divisors (see below), whose sum is σ = 307691654400. Its totient is φ = 26849848320.

The previous prime is 114130300981. The next prime is 114130301029. The reversal of 114130301010 is 10103031411.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4737676 + ... + 4761704.

It is an arithmetic number, because the mean of its divisors is an integer number (2403841050).

Almost surely, 2114130301010 is an apocalyptic number.

114130301010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114130301010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153845827200).

114130301010 is an abundant number, since it is smaller than the sum of its proper divisors (193561353390).

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

114130301010 is a wasteful number, since it uses less digits than its factorization.

114130301010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24476.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 114130301010 its reverse (10103031411), we get a palindrome (124233332421).

The spelling of 114130301010 in words is "one hundred fourteen billion, one hundred thirty million, three hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 389 407 555 778 814 1110 1167 1221 1945 2035 2334 2442 3890 4070 4279 5835 6105 8558 11670 12210 12837 14393 21395 24029 25674 28786 42790 43179 48058 64185 71965 72087 86358 120145 128370 143930 144174 158323 215895 240290 264319 316646 360435 431790 474969 528638 720870 791615 792957 889073 949938 1321595 1583230 1585914 1778146 2374845 2643190 2667219 3964785 4445365 4749690 5334438 7929570 8890730 9347281 9779803 13336095 18694562 19559606 26672190 28041843 29339409 46736405 48899015 56083686 58678818 93472810 97798030 102820091 140209215 146697045 205640182 280418430 293394090 308460273 345849397 514100455 616920546 691698794 1028200910 1037548191 1542301365 1729246985 2075096382 3084602730 3458493970 3804343367 5187740955 7608686734 10375481910 11413030101 19021716835 22826060202 38043433670 57065150505 114130301010