Search a number
-
+
1000100001020 = 225235341021329
BaseRepresentation
bin11101000110110101001…
…10101111010011111100
310112121102200121000002112
432203122212233103330
5112341201100013040
62043234541513152
7132153260514131
oct16433246572374
93477380530075
101000100001020
1135615a41816a
121419ab5727b8
1373402c0c943
1436595838588
151b03541b365
hexe8da9af4fc

1000100001020 has 48 divisors (see below), whose sum is σ = 2232873034560. Its totient is φ = 375427193856.

The previous prime is 1000100001011. The next prime is 1000100001041. The reversal of 1000100001020 is 201000010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 1000100000995 and 1000100001013.

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, 20486285 + ... + 20535044.

It is an arithmetic number, because the mean of its divisors is an integer number (46518188220).

Almost surely, 21000100001020 is an apocalyptic number.

1000100001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100001020 is an abundant number, since it is smaller than the sum of its proper divisors (1232773033540).

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

1000100001020 is a wasteful number, since it uses less digits than its factorization.

1000100001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41021414 (or 41021412 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1000100001020 its reverse (201000010001), we get a palindrome (1201100011021).

The spelling of 1000100001020 in words is "one trillion, one hundred million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 265 460 530 1060 1219 2438 4876 6095 12190 24380 41021329 82042658 164085316 205106645 410213290 820426580 943490567 1886981134 2174130437 3773962268 4348260874 4717452835 8696521748 9434905670 10870652185 18869811340 21741304370 43482608740 50005000051 100010000102 200020000204 250025000255 500050000510 1000100001020