Search a number
-
+
1010106106055 = 523831011047779
BaseRepresentation
bin11101011001011110000…
…01000000000011000111
310120120021000211210202022
432230233001000003013
5113022144130343210
62052011503233355
7132656241144044
oct16545701000307
93516230753668
101010106106055
1135a424621a62
121439225a885b
1374338c56b57
1436c6470a1cb
151b41dad3155
hexeb2f0400c7

1010106106055 has 32 divisors (see below), whose sum is σ = 1292742581760. Its totient is φ = 756076604800.

The previous prime is 1010106106043. The next prime is 1010106106069. The reversal of 1010106106055 is 5506016010101.

It is a de Polignac number, because none of the positive numbers 2k-1010106106055 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 440156 + ... + 1487934.

It is an arithmetic number, because the mean of its divisors is an integer number (40398205680).

Almost surely, 21010106106055 is an apocalyptic number.

1010106106055 is a deficient number, since it is larger than the sum of its proper divisors (282636475705).

1010106106055 is a wasteful number, since it uses less digits than its factorization.

1010106106055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047991.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 1010106106055 in words is "one trillion, ten billion, one hundred six million, one hundred six thousand, fifty-five".

Divisors: 1 5 23 83 101 115 415 505 1909 2323 8383 9545 11615 41915 192809 964045 1047779 5238895 24098917 86965657 105825679 120494585 434828285 529128395 2000210111 2433990617 8783531357 10001050555 12169953085 43917656785 202021221211 1010106106055