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920231222132029 = 29101314179317901
BaseRepresentation
bin1101000100111100100000011…
…1000110110011110100111101
311110200021020122002112121001211
43101033020013012303310331
51431104032020331211104
613021100215355404421
7364555340354552143
oct32117100706636475
94420236562477054
10920231222132029
112472399625735a5
1287262b86453711
133066257cb4c872
141233560089d593
15715c4d4dbde04
hex344f2071b3d3d

920231222132029 has 8 divisors (see below), whose sum is σ = 961388712780120. Its totient is φ = 879702090120000.

The previous prime is 920231222132017. The next prime is 920231222132051.

920231222132029 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 700106463225625 + 220124758906404 = 26459525^2 + 14836602^2 .

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 920231222132029 - 25 = 920231222131997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 920231222131982 and 920231222132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920231222132129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157089656022 + ... + 157089661879.

It is an arithmetic number, because the mean of its divisors is an integer number (120173589097515).

Almost surely, 2920231222132029 is an apocalyptic number.

It is an amenable number.

920231222132029 is a deficient number, since it is larger than the sum of its proper divisors (41157490648091).

920231222132029 is a wasteful number, since it uses less digits than its factorization.

920231222132029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314179318031.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 920231222132029 in words is "nine hundred twenty trillion, two hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-two thousand, twenty-nine".

Divisors: 1 29 101 2929 314179317901 9111200219129 31732111108001 920231222132029