Search a number
-
+
101052362061 = 32729313176711
BaseRepresentation
bin101111000011100110…
…0001010110101001101
3100122211111211212121100
41132013030022311031
53123423401041221
6114231154453313
710205112622320
oct1360714126515
9318744755540
10101052362061
1139946473312
1217702294239
1396b58511a1
144c68b1c7b7
152966810926
hex178730ad4d

101052362061 has 48 divisors (see below), whose sum is σ = 173121212160. Its totient is φ = 55574588160.

The previous prime is 101052362053. The next prime is 101052362071. The reversal of 101052362061 is 160263250101.

101052362061 is a `hidden beast` number, since 1 + 0 + 10 + 5 + 23 + 620 + 6 + 1 = 666.

It is not a de Polignac number, because 101052362061 - 23 = 101052362053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101052362051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483496 + ... + 660206.

It is an arithmetic number, because the mean of its divisors is an integer number (3606691920).

Almost surely, 2101052362061 is an apocalyptic number.

It is an amenable number.

101052362061 is a deficient number, since it is larger than the sum of its proper divisors (72068850099).

101052362061 is a wasteful number, since it uses less digits than its factorization.

101052362061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177066 (or 177063 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 101052362061 in words is "one hundred one billion, fifty-two million, three hundred sixty-two thousand, sixty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 313 609 939 1827 2191 2817 6573 9077 19719 27231 63539 81693 176711 190617 530133 571851 1236977 1590399 3710931 5124619 11132793 15373857 35872333 46121571 55310543 107616999 165931629 322850997 387173801 497794887 1161521403 1604005747 3484564209 4812017241 11228040229 14436051723 33684120687 101052362061