Search a number
-
+
1010012000020 = 22576185377797
BaseRepresentation
bin11101011001010010110…
…10000000111100010100
310120120000110202201112121
432230221122000330110
5113022001033000040
62051554302225324
7132654016230322
oct16545132007424
93516013681477
101010012000020
1135a386496781
121438b6b85244
13743225c7cca
1436c56010d12
151b4156e4c4a
hexeb29680f14

1010012000020 has 48 divisors (see below), whose sum is σ = 2126329501968. Its totient is φ = 402995727360.

The previous prime is 1010011999957. The next prime is 1010012000119. The reversal of 1010012000020 is 200002100101.

It can be written as a sum of positive squares in 8 ways, for example, as 280948762116 + 729063237904 = 530046^2 + 853852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010011999967 and 1010012000012.

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, 12943762 + ... + 13021558.

It is an arithmetic number, because the mean of its divisors is an integer number (44298531291).

Almost surely, 21010012000020 is an apocalyptic number.

1010012000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010012000020 is an abundant number, since it is smaller than the sum of its proper divisors (1116317501948).

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

1010012000020 is a wasteful number, since it uses less digits than its factorization.

1010012000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79420 (or 79418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1010012000020 its reverse (200002100101), we get a palindrome (1210014100121).

The spelling of 1010012000020 in words is "one trillion, ten billion, twelve million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 761 853 1522 1706 3044 3412 3805 4265 7610 8530 15220 17060 77797 155594 311188 388985 649133 777970 1298266 1555940 2596532 3245665 6491330 12982660 59203517 66360841 118407034 132721682 236814068 265443364 296017585 331804205 592035170 663608410 1184070340 1327216820 50500600001 101001200002 202002400004 252503000005 505006000010 1010012000020