Search a number
-
+
14101203120 = 24353110131871
BaseRepresentation
bin11010010000111111…
…10100100010110000
31100101201220100011020
431020133310202300
5212334401444440
610251125415440
71006304151234
oct151037644260
940351810136
1014101203120
115a86841684
12289656a580
131439584194
1497aadc5c4
15577e743d0
hex3487f48b0

14101203120 has 160 divisors (see below), whose sum is σ = 45192536064. Its totient is φ = 3633484800.

The previous prime is 14101203119. The next prime is 14101203133. The reversal of 14101203120 is 2130210141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14101203120.

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, 7535785 + ... + 7537655.

Almost surely, 214101203120 is an apocalyptic number.

14101203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14101203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22596268032).

14101203120 is an abundant number, since it is smaller than the sum of its proper divisors (31091332944).

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

14101203120 is a wasteful number, since it uses less digits than its factorization.

14101203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14101203120 its reverse (2130210141), we get a palindrome (16231413261).

The spelling of 14101203120 in words is "fourteen billion, one hundred one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1013 1240 1488 1860 1871 2026 2480 3039 3720 3742 4052 5065 5613 6078 7440 7484 8104 9355 10130 11226 12156 14968 15195 16208 18710 20260 22452 24312 28065 29936 30390 31403 37420 40520 44904 48624 56130 58001 60780 62806 74840 81040 89808 94209 112260 116002 121560 125612 149680 157015 174003 188418 224520 232004 243120 251224 290005 314030 348006 376836 449040 464008 471045 502448 580010 628060 696012 753672 870015 928016 942090 1160020 1256120 1392024 1507344 1740030 1884180 1895323 2320040 2512240 2784048 3480060 3768360 3790646 4640080 5685969 6960120 7536720 7581292 9476615 11371938 13920240 15162584 18953230 22743876 28429845 30325168 37906460 45487752 56859690 58755013 75812920 90975504 113719380 117510026 151625840 176265039 227438760 235020052 293775065 352530078 454877520 470040104 587550130 705060156 881325195 940080208 1175100260 1410120312 1762650390 2350200520 2820240624 3525300780 4700401040 7050601560 14101203120