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114054313100 = 225271312533441
BaseRepresentation
bin110101000111000101…
…0101011010010001100
3101220101122022102101112
41222032022223102030
53332040401004400
6124221255431152
711145241444160
oct1521612532214
9356348272345
10114054313100
11444087605a2
121a1306854b8
13a9a8456c40
14573d834ca0
152e77eea835
hex1a8e2ab48c

114054313100 has 72 divisors (see below), whose sum is σ = 304612774368. Its totient is φ = 36096307200.

The previous prime is 114054313091. The next prime is 114054313103. The reversal of 114054313100 is 1313450411.

It is a happy number.

It is a super-2 number, since 2×1140543131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114054313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6257621 + ... + 6275820.

Almost surely, 2114054313100 is an apocalyptic number.

114054313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114054313100 is an abundant number, since it is smaller than the sum of its proper divisors (190558461268).

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

114054313100 is a wasteful number, since it uses less digits than its factorization.

114054313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533475 (or 12533468 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 114054313100 its reverse (1313450411), we get a palindrome (115367763511).

The spelling of 114054313100 in words is "one hundred fourteen billion, fifty-four million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 12533441 25066882 50133764 62667205 87734087 125334410 162934733 175468174 250668820 313336025 325869466 350936348 438670435 626672050 651738932 814673665 877340870 1140543131 1253344100 1629347330 1754681740 2193352175 2281086262 3258694660 4073368325 4386704350 4562172524 5702715655 8146736650 8773408700 11405431310 16293473300 22810862620 28513578275 57027156550 114054313100