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1010550000101 = 17137641676909
BaseRepresentation
bin11101011010010010111…
…10010100100111100101
310120121101222002221220112
432231021132110213211
5113024101300000401
62052123521342405
7133003241162555
oct16551136244745
93517358087815
101010550000101
1135a632148144
12143a27197a05
13743a9bc6555
1436ca7659165
151b447a673bb
hexeb497949e5

1010550000101 has 16 divisors (see below), whose sum is σ = 1079487330480. Its totient is φ = 942689157120.

The previous prime is 1010550000043. The next prime is 1010550000197. The reversal of 1010550000101 is 1010000550101.

It can be written as a sum of positive squares in 8 ways, for example, as 495614592001 + 514935408100 = 703999^2 + 717590^2 .

It is a de Polignac number, because none of the positive numbers 2k-1010550000101 is a prime.

It is a super-2 number, since 2×10105500001012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010550000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154435 + ... + 1831343.

It is an arithmetic number, because the mean of its divisors is an integer number (67467958155).

Almost surely, 21010550000101 is an apocalyptic number.

It is an amenable number.

1010550000101 is a deficient number, since it is larger than the sum of its proper divisors (68937330379).

1010550000101 is a wasteful number, since it uses less digits than its factorization.

1010550000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677704.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 1010550000101 its reverse (1010000550101), we get a palindrome (2020550550202).

It can be divided in two parts, 1010550000 and 101, that added together give a palindrome (1010550101).

The spelling of 1010550000101 in words is "one trillion, ten billion, five hundred fifty million, one hundred one", and thus it is an aban number.

Divisors: 1 17 137 641 2329 10897 87817 676909 1492889 11507453 92736533 433898669 1576521061 7376277373 59444117653 1010550000101