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114031313100 = 223252177453027
BaseRepresentation
bin110101000110011001…
…0111100000011001100
3101220100001000220022200
41222030302330003030
53332014004004400
6124215114441500
711144542111605
oct1521462740314
9356301026280
10114031313100
11443a6781331
121a124a33290
13a9a3763183
14573a768dac
152e75ea5b00
hex1a8ccbc0cc

114031313100 has 108 divisors (see below), whose sum is σ = 378449855784. Its totient is φ = 28619619840.

The previous prime is 114031313069. The next prime is 114031313111. The reversal of 114031313100 is 1313130411.

114031313100 is a `hidden beast` number, since 1 + 1 + 40 + 313 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×1140313131002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3711214 + ... + 3741813.

Almost surely, 2114031313100 is an apocalyptic number.

114031313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114031313100 is an abundant number, since it is smaller than the sum of its proper divisors (264418542684).

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

114031313100 is a wasteful number, since it uses less digits than its factorization.

114031313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453064 (or 7453054 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 114031313100 its reverse (1313130411), we get a palindrome (115344443511).

The spelling of 114031313100 in words is "one hundred fourteen billion, thirty-one million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 7453027 14906054 22359081 29812108 37265135 44718162 67077243 74530270 89436324 111795405 126701459 134154486 149060540 186325675 223590810 253402918 268308972 335386215 372651350 380104377 447181620 506805836 558977025 633507295 670772430 745302700 760208754 1117954050 1140313131 1267014590 1341544860 1520417508 1676931075 1900521885 2235908100 2280626262 2534029180 3167536475 3353862150 3801043770 4561252524 5701565655 6335072950 6707724300 7602087540 9502609425 11403131310 12670145900 19005218850 22806262620 28507828275 38010437700 57015656550 114031313100