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314120313121110 = 235101245942159443
BaseRepresentation
bin100011101101100001101010…
…1101011100010100101010110
31112012012121102201020100112020
41013123003111223202211112
5312133021400124333420
63032024514003034010
7123110305121611446
oct10733032553424526
91465177381210466
10314120313121110
11910a7749725801
122b29275536b906
1310637559386292
14577d70ba38126
15264aecbe64340
hex11db0d5ae2956

314120313121110 has 64 divisors (see below), whose sum is σ = 761662633570560. Its totient is φ = 82902326748800.

The previous prime is 314120313121091. The next prime is 314120313121157. The reversal of 314120313121110 is 11121313021413.

It is a super-2 number, since 2×3141203131211102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13628952 + ... + 28530491.

It is an arithmetic number, because the mean of its divisors is an integer number (11900978649540).

Almost surely, 2314120313121110 is an apocalyptic number.

314120313121110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314120313121110 is an abundant number, since it is smaller than the sum of its proper divisors (447542320449450).

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

314120313121110 is a wasteful number, since it uses less digits than its factorization.

314120313121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42162013.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 314120313121110 its reverse (11121313021413), we get a palindrome (325241626142523).

The spelling of 314120313121110 in words is "three hundred fourteen trillion, one hundred twenty billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 1010 1515 2459 3030 4918 7377 12295 14754 24590 36885 73770 248359 496718 745077 1241795 1490154 2483590 3725385 7450770 42159443 84318886 126478329 210797215 252956658 421594430 632391645 1264783290 4258103743 8516207486 12774311229 21290518715 25548622458 42581037430 63871556145 103670070337 127743112290 207340140674 311010211011 518350351685 622020422022 1036700703370 1555051055055 3110102110110 10470677104037 20941354208074 31412031312111 52353385520185 62824062624222 104706771040370 157060156560555 314120313121110