Search a number
-
+
1010102012020 = 2251012931706657
BaseRepresentation
bin11101011001011101100…
…01011000100001110100
310120120020202010210210101
432230232301120201310
5113022142103341040
62052011235403444
7132656161303063
oct16545661304164
93516222123711
101010102012020
1135a422286062
12143921153584
137433815254a
1436c63d621da
151b41d57509a
hexeb2ec58874

1010102012020 has 48 divisors (see below), whose sum is σ = 2149528924368. Its totient is φ = 398674841600.

The previous prime is 1010102011993. The next prime is 1010102012041. The reversal of 1010102012020 is 202102010101.

1010102012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 549905301136 + 460196710884 = 741556^2 + 678378^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010102011988 and 1010102012006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261469 + ... + 1445188.

It is an arithmetic number, because the mean of its divisors is an integer number (44781852591).

Almost surely, 21010102012020 is an apocalyptic number.

1010102012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010102012020 is an abundant number, since it is smaller than the sum of its proper divisors (1139426912348).

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

1010102012020 is a wasteful number, since it uses less digits than its factorization.

1010102012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707060 (or 1707058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010102012020 its reverse (202102010101), we get a palindrome (1212204022121).

The spelling of 1010102012020 in words is "one trillion, ten billion, one hundred two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 293 404 505 586 1010 1172 1465 2020 2930 5860 29593 59186 118372 147965 295930 591860 1706657 3413314 6826628 8533285 17066570 34133140 172372357 344744714 500050501 689489428 861861785 1000101002 1723723570 2000202004 2500252505 3447447140 5000505010 10001010020 50505100601 101010201202 202020402404 252525503005 505051006010 1010102012020