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114222104031 = 3731421416761
BaseRepresentation
bin110101001100000101…
…0101111110111011111
3101220211100001002021110
41222120022233313133
53332411324312111
6124250052033103
711152346602440
oct1523012576737
9356740032243
10114222104031
1144494444392
121a178902793
13aa04144909
145757c312c7
152e87ae15a6
hex1a982afddf

114222104031 has 32 divisors (see below), whose sum is σ = 180094529536. Its totient is φ = 63014112000.

The previous prime is 114222103921. The next prime is 114222104069. The reversal of 114222104031 is 130401222411.

It is not a de Polignac number, because 114222104031 - 29 = 114222103519 is a prime.

It is a super-2 number, since 2×1142221040312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114222103989 and 114222104007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222184031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65691 + ... + 482451.

It is an arithmetic number, because the mean of its divisors is an integer number (5627954048).

Almost surely, 2114222104031 is an apocalyptic number.

114222104031 is a deficient number, since it is larger than the sum of its proper divisors (65872425505).

114222104031 is a wasteful number, since it uses less digits than its factorization.

114222104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417223.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114222104031 its reverse (130401222411), we get a palindrome (244623326442).

The spelling of 114222104031 in words is "one hundred fourteen billion, two hundred twenty-two million, one hundred four thousand, thirty-one".

Divisors: 1 3 7 21 31 93 217 421 651 1263 2947 8841 13051 39153 91357 274071 416761 1250283 2917327 8751981 12919591 38758773 90437137 175456381 271311411 526369143 1228194667 3684584001 5439147811 16317443433 38074034677 114222104031