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101222012431 = 2711777210193
BaseRepresentation
bin101111001000101001…
…1010101011000001111
3100200021100002000011101
41132101103111120033
53124300313344211
6114300055003531
710212242623651
oct1362123253017
9320240060141
10101222012431
1139a23207131
121774b0695a7
139711a40317
144c834806d1
1529766725c1
hex17914d560f

101222012431 has 8 divisors (see below), whose sum is σ = 101653181504. Its totient is φ = 100791267840.

The previous prime is 101222012429. The next prime is 101222012461. The reversal of 101222012431 is 134210222101.

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

It is a cyclic number.

It is not a de Polignac number, because 101222012431 - 21 = 101222012429 is a prime.

It is a super-2 number, since 2×1012220124312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101222012399 and 101222012408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222012461) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 376471 + ... + 586663.

It is an arithmetic number, because the mean of its divisors is an integer number (12706647688).

Almost surely, 2101222012431 is an apocalyptic number.

101222012431 is a deficient number, since it is larger than the sum of its proper divisors (431169073).

101222012431 is a wasteful number, since it uses less digits than its factorization.

101222012431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212241.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101222012431 its reverse (134210222101), we get a palindrome (235432234532).

The spelling of 101222012431 in words is "one hundred one billion, two hundred twenty-two million, twelve thousand, four hundred thirty-one".

Divisors: 1 271 1777 210193 481567 56962303 373512961 101222012431