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101320210323321 = 31138378569102031
BaseRepresentation
bin10111000010011001110011…
…001001010001011101111001
3111021202010011122221210010020
4113002121303021101131321
5101240012242320321241
6555253510111441053
730225100156552233
oct2702316311213571
9437663148853106
10101320210323321
112a313729351410
12b444651526189
13446c5bb378082
141b03cd2591253
15baa887b58b66
hex5c2673251779

101320210323321 has 32 divisors (see below), whose sum is σ = 147762970951680. Its totient is φ = 61244478825600.

The previous prime is 101320210323317. The next prime is 101320210323329. The reversal of 101320210323321 is 123323012023101.

It is not a de Polignac number, because 101320210323321 - 22 = 101320210323317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101320210323291 and 101320210323300.

It is not an unprimeable number, because it can be changed into a prime (101320210323329) 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, 992982576 + ... + 993084606.

It is an arithmetic number, because the mean of its divisors is an integer number (4617592842240).

Almost surely, 2101320210323321 is an apocalyptic number.

101320210323321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101320210323321 is a deficient number, since it is larger than the sum of its proper divisors (46442760628359).

101320210323321 is a wasteful number, since it uses less digits than its factorization.

101320210323321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180997.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101320210323321 its reverse (123323012023101), we get a palindrome (224643222346422).

The spelling of 101320210323321 in words is "one hundred one trillion, three hundred twenty billion, two hundred ten million, three hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 11 33 383 1149 4213 12639 78569 102031 235707 306093 864259 1122341 2592777 3367023 30091927 39077873 90275781 117233619 331011197 429856603 993033591 1289569809 8016473639 24049420917 88181210029 264543630087 3070309403737 9210928211211 33773403441107 101320210323321