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101401430120 = 23514331769041
BaseRepresentation
bin101111001101111111…
…1110000100001101000
3100200201211200100221222
41132123333300201220
53130132231230440
6114325544321212
710216551635414
oct1363377604150
9320654610858
10101401430120
113a005511311
121779b173208
13973cc6c133
144c9d225d44
1529872b32b5
hex179bff0868

101401430120 has 32 divisors (see below), whose sum is σ = 228312560520. Its totient is φ = 40532244480.

The previous prime is 101401430107. The next prime is 101401430129. The reversal of 101401430120 is 21034104101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88645534756 + 12755895364 = 297734^2 + 112942^2 .

It is a super-3 number, since 3×1014014301203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101401430129) 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, 827201 + ... + 941840.

Almost surely, 2101401430120 is an apocalyptic number.

101401430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101401430120 is an abundant number, since it is smaller than the sum of its proper divisors (126911130400).

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

101401430120 is a wasteful number, since it uses less digits than its factorization.

101401430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770485 (or 1770481 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101401430120 its reverse (21034104101), we get a palindrome (122435534221).

The spelling of 101401430120 in words is "one hundred one billion, four hundred one million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1433 2866 5732 7165 11464 14330 28660 57320 1769041 3538082 7076164 8845205 14152328 17690410 35380820 70761640 2535035753 5070071506 10140143012 12675178765 20280286024 25350357530 50700715060 101401430120