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130122210101 = 13171976014973
BaseRepresentation
bin111100100101111100…
…0110101101100110101
3110102212102220011100212
41321023320311230311
54112442241210401
6135435522315205
712254356352012
oct1711370655465
9412772804325
10130122210101
1150203660414
12212757b8b05
13c3692c36c0
1464257dc709
1535b8953dbb
hex1e4be35b35

130122210101 has 32 divisors (see below), whose sum is σ = 149405987808. Its totient is φ = 112263782400.

The previous prime is 130122210091. The next prime is 130122210109. The reversal of 130122210101 is 101012221031.

It can be written as a sum of positive squares in 16 ways, for example, as 2673924100 + 127448286001 = 51710^2 + 356999^2 .

It is a cyclic number.

It is not a de Polignac number, because 130122210101 - 214 = 130122193717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122210109) 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, 26163251 + ... + 26168223.

It is an arithmetic number, because the mean of its divisors is an integer number (4668937119).

Almost surely, 2130122210101 is an apocalyptic number.

It is an amenable number.

130122210101 is a deficient number, since it is larger than the sum of its proper divisors (19283777707).

130122210101 is a wasteful number, since it uses less digits than its factorization.

130122210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 130122210101 its reverse (101012221031), we get a palindrome (231134431132).

The spelling of 130122210101 in words is "one hundred thirty billion, one hundred twenty-two million, two hundred ten thousand, one hundred one".

Divisors: 1 13 17 197 221 601 2561 3349 4973 7813 10217 43537 64649 84541 118397 132821 979681 1099033 1539161 2012749 2988773 12735853 16654577 26165737 38854049 50809141 216509501 588788281 660518833 7654247653 10009400777 130122210101