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122002301232131 = 5379103353801407
BaseRepresentation
bin11011101111010111011111…
…110100111010010000000011
3120222222022021010210120221012
4123233113133310322100003
5111442341203103412011
61111251030005151135
734461242520634625
oct3357273764722003
9528868233716835
10122002301232131
11359679814a7831
1211824a439bb4ab
13530c9c9677c58
14221ad2b3ccc15
15e1885e699a8b
hex6ef5dfd3a403

122002301232131 has 32 divisors (see below), whose sum is σ = 127460031528960. Its totient is φ = 116706050233344.

The previous prime is 122002301232113. The next prime is 122002301232143. The reversal of 122002301232131 is 131232103200221.

It is a cyclic number.

It is not a de Polignac number, because 122002301232131 - 214 = 122002301215747 is a prime.

It is a super-2 number, since 2×1220023012321312 (a number of 29 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 = 122002301232097 and 122002301232106.

It is not an unprimeable number, because it can be changed into a prime (122002301232731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151834430 + ... + 152635836.

It is an arithmetic number, because the mean of its divisors is an integer number (3983125985280).

Almost surely, 2122002301232131 is an apocalyptic number.

122002301232131 is a deficient number, since it is larger than the sum of its proper divisors (5457730296829).

122002301232131 is a wasteful number, since it uses less digits than its factorization.

122002301232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801995.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122002301232131 its reverse (131232103200221), we get a palindrome (253234404432352).

The spelling of 122002301232131 in words is "one hundred twenty-two trillion, two billion, three hundred one million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 53 79 103 353 4187 5459 8137 18709 27887 36359 431261 801407 1478011 1927027 2872361 42474571 63311153 82544921 152235133 282896671 3355491109 4374880813 6521048759 14993523563 22348837009 29138357113 345615584227 1184488361477 1544332926989 2301930211927 122002301232131