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2154302031 = 37102585811
BaseRepresentation
bin1000000001101000…
…0000101001001111
312120010200212211010
42000122000221033
513403000131111
6553434100303
7104246156640
oct20032005117
95503625733
102154302031
11a06058002
1250157a693
1328442143b
141661836c7
15c91e1aa6
hex80680a4f

2154302031 has 8 divisors (see below), whose sum is σ = 3282745984. Its totient is φ = 1231029720.

The previous prime is 2154302027. The next prime is 2154302039. The reversal of 2154302031 is 1302034512.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2154302031 - 22 = 2154302027 is a prime.

It is a super-2 number, since 2×21543020312 = 9282034481541449922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 102585811 = 2154302031 / (2 + 1 + 5 + 4 + 3 + 0 + 2 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 2154301989 and 2154302007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154302039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51292885 + ... + 51292926.

It is an arithmetic number, because the mean of its divisors is an integer number (410343248).

Almost surely, 22154302031 is an apocalyptic number.

2154302031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2154302031 is a deficient number, since it is larger than the sum of its proper divisors (1128443953).

2154302031 is a wasteful number, since it uses less digits than its factorization.

2154302031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102585821.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2154302031 is about 46414.4592880279. The cubic root of 2154302031 is about 1291.5231554707.

Adding to 2154302031 its reverse (1302034512), we get a palindrome (3456336543).

The spelling of 2154302031 in words is "two billion, one hundred fifty-four million, three hundred two thousand, thirty-one".

Divisors: 1 3 7 21 102585811 307757433 718100677 2154302031