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114003110520 = 233251324359639
BaseRepresentation
bin110101000101100011…
…1010110101001111000
3101220021001222001122200
41222023013112221320
53331434244014040
6124212230150200
711144050310415
oct1521307265170
9356231861580
10114003110520
1144391869312
121a1174b2360
13a99a96a360
145736b0710c
152e73784630
hex1a8b1d6a78

114003110520 has 96 divisors (see below), whose sum is σ = 399010903200. Its totient is φ = 28062302976.

The previous prime is 114003110497. The next prime is 114003110531. The reversal of 114003110520 is 25011300411.

114003110520 is a `hidden beast` number, since 1 + 140 + 0 + 3 + 1 + 1 + 0 + 520 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114003110493 and 114003110502.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12175140 + ... + 12184499.

It is an arithmetic number, because the mean of its divisors is an integer number (4156363575).

Almost surely, 2114003110520 is an apocalyptic number.

114003110520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114003110520 is an abundant number, since it is smaller than the sum of its proper divisors (285007792680).

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

114003110520 is a wasteful number, since it uses less digits than its factorization.

114003110520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24359669 (or 24359662 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 114003110520 its reverse (25011300411), we get a palindrome (139014410931).

The spelling of 114003110520 in words is "one hundred fourteen billion, three million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 24359639 48719278 73078917 97438556 121798195 146157834 194877112 219236751 243596390 292315668 316675307 365394585 438473502 487192780 584631336 633350614 730789170 876947004 950025921 974385560 1096183755 1266701228 1461578340 1583376535 1753894008 1900051842 2192367510 2533402456 2850077763 2923156680 3166753070 3800103684 4384735020 4750129605 5700155526 6333506140 7600207368 8769470040 9500259210 11400311052 12667012280 14250388815 19000518420 22800622104 28500777630 38001036840 57001555260 114003110520