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101323213414120 = 23517149004725609
BaseRepresentation
bin10111000010011100100110…
…001001001001111011101000
3111021202101220221210121020101
4113002130212021021323220
5101240034420113222440
6555255124110235144
730225234453450055
oct2702344611117350
9437671827717211
10101323213414120
112a314a2a532a35
12b44514b1b5ab4
13446c9795a2389
141b040d936002c
15baa9b160d69a
hex5c2726249ee8

101323213414120 has 32 divisors (see below), whose sum is σ = 241387655488200. Its totient is φ = 38145209755648.

The previous prime is 101323213414051. The next prime is 101323213414121. The reversal of 101323213414120 is 21414312323101.

It can be written as a sum of positive squares in 4 ways, for example, as 90160304297284 + 11162909116836 = 9495278^2 + 3341094^2 .

It is not an unprimeable number, because it can be changed into a prime (101323213414121) 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, 74502362125 + ... + 74502363484.

Almost surely, 2101323213414120 is an apocalyptic number.

101323213414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101323213414120 is an abundant number, since it is smaller than the sum of its proper divisors (140064442074080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101323213414120 is a wasteful number, since it uses less digits than its factorization.

101323213414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149004725637 (or 149004725633 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 101323213414120 its reverse (21414312323101), we get a palindrome (122737525737221).

The spelling of 101323213414120 in words is "one hundred one trillion, three hundred twenty-three billion, two hundred thirteen million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 149004725609 298009451218 596018902436 745023628045 1192037804872 1490047256090 2533080335353 2980094512180 5066160670706 5960189024360 10132321341412 12665401676765 20264642682824 25330803353530 50661606707060 101323213414120