Search a number
-
+
1010002101020 = 225119374899593
BaseRepresentation
bin11101011001010001101…
…00010000001100011100
310120112222210010210122222
432230220310100030130
5113021441014213040
62051553310124512
7132653536131263
oct16545064201434
93515883123588
101010002101020
1135a380945490
121438b37b0738
1374320540403
1436c549955da
151b4148dbbb5
hexeb28d1031c

1010002101020 has 48 divisors (see below), whose sum is σ = 2316292862688. Its totient is φ = 366881448960.

The previous prime is 1010002101019. The next prime is 1010002101077. The reversal of 1010002101020 is 201012000101.

It is a junction number, because it is equal to n+sod(n) for n = 1010002100989 and 1010002101007.

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, 2243657 + ... + 2655936.

It is an arithmetic number, because the mean of its divisors is an integer number (48256101306).

Almost surely, 21010002101020 is an apocalyptic number.

1010002101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010002101020 is an abundant number, since it is smaller than the sum of its proper divisors (1306290761668).

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

1010002101020 is a wasteful number, since it uses less digits than its factorization.

1010002101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900550 (or 4900548 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010002101020 its reverse (201012000101), we get a palindrome (1211014101121).

The spelling of 1010002101020 in words is "one trillion, ten billion, two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 937 1874 3748 4685 9370 10307 18740 20614 41228 51535 103070 206140 4899593 9799186 19598372 24497965 48995930 53895523 97991860 107791046 215582092 269477615 538955230 1077910460 4590918641 9181837282 18363674564 22954593205 45909186410 50500105051 91818372820 101000210102 202000420204 252500525255 505001050510 1010002101020