Search a number
-
+
1002001101010 = 257139901111211
BaseRepresentation
bin11101001010010111110…
…10110111000011010010
310112210100011211220000021
432211023322313003102
5112404044240213020
62044151333014054
7132251343554530
oct16451372670322
93483304756007
101002001101010
11356a45554788
1214224018432a
1373646a3a090
14366d610b150
151b0e72951aa
hexe94beb70d2

1002001101010 has 64 divisors (see below), whose sum is σ = 2220061987584. Its totient is φ = 317081952000.

The previous prime is 1002001100999. The next prime is 1002001101011. The reversal of 1002001101010 is 101011002001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1002001100984 and 1002001101002.

It is not an unprimeable number, because it can be changed into a prime (1002001101011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8954305 + ... + 9065515.

It is an arithmetic number, because the mean of its divisors is an integer number (34688468556).

Almost surely, 21002001101010 is an apocalyptic number.

1002001101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002001101010 is an abundant number, since it is smaller than the sum of its proper divisors (1218060886574).

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

1002001101010 is a wasteful number, since it uses less digits than its factorization.

1002001101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121139.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002001101010 its reverse (101011002001), we get a palindrome (1103012103011).

Subtracting from 1002001101010 its reverse (101011002001), we obtain a palindrome (900990099009).

It can be divided in two parts, 1002001 and 101010, that added together give a palindrome (1103011).

The spelling of 1002001101010 in words is "one trillion, two billion, one million, one hundred one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 9901 19802 49505 69307 99010 111211 128713 138614 222422 257426 346535 556055 643565 693070 778477 900991 1112110 1287130 1445743 1556954 1801982 2891486 3892385 4504955 7228715 7784770 9009910 10120201 14457430 20240402 50601005 101202010 1101100111 2202200222 5505500555 7707700777 11011001110 14314301443 15415401554 28628602886 38538503885 71571507215 77077007770 100200110101 143143014430 200400220202 501000550505 1002001101010