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101411077144 = 231359149110921
BaseRepresentation
bin101111001110010010…
…0100011110000011000
3100200202111211111012011
41132130210203300120
53130142213432034
6114330531155304
710220026635016
oct1363444436030
9320674744164
10101411077144
113a00aa00263
12177a2445b34
139741c69130
144ca06178b6
15298806b864
hex179c923c18

101411077144 has 64 divisors (see below), whose sum is σ = 209642580000. Its totient is φ = 45702589440.

The previous prime is 101411077133. The next prime is 101411077169. The reversal of 101411077144 is 441770114101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858804 + ... + 969724.

Almost surely, 2101411077144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101411077144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104821290000).

101411077144 is an abundant number, since it is smaller than the sum of its proper divisors (108231502856).

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

101411077144 is a wasteful number, since it uses less digits than its factorization.

101411077144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111148 (or 111144 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 31.

The spelling of 101411077144 in words is "one hundred one billion, four hundred eleven million, seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 59 104 118 149 236 298 472 596 767 1192 1534 1937 3068 3874 6136 7748 8791 15496 17582 35164 70328 110921 114283 221842 228566 443684 457132 887368 914264 1441973 2883946 5767892 6544339 11535784 13088678 16527229 26177356 33054458 52354712 66108916 85076407 132217832 170152814 214853977 340305628 429707954 680611256 859415908 975106511 1718831816 1950213022 3900426044 7800852088 12676384643 25352769286 50705538572 101411077144