Search a number
-
+
1000100010030 = 235115357181247
BaseRepresentation
bin11101000110110101001…
…10110001100000101110
310112121102200121110110020
432203122212301200232
5112341201100310110
62043234542023010
7132153260552322
oct16433246614056
93477380543406
101000100010030
1135615a423a10
121419ab577a66
1373402c13a84
143659583b982
151b03541dd70
hexe8da9b182e

1000100010030 has 64 divisors (see below), whose sum is σ = 2667848306688. Its totient is φ = 237873983360.

The previous prime is 1000100010029. The next prime is 1000100010031. The reversal of 1000100010030 is 300100010001.

1000100010030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000100010029) and next prime (1000100010031).

It is a super-2 number, since 2×10001000100302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100010031) 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, 28573134 + ... + 28608113.

It is an arithmetic number, because the mean of its divisors is an integer number (41685129792).

Almost surely, 21000100010030 is an apocalyptic number.

1000100010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000100010030 is an abundant number, since it is smaller than the sum of its proper divisors (1667748296658).

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

1000100010030 is a wasteful number, since it uses less digits than its factorization.

1000100010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57181321.

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 1000100010030 its reverse (300100010001), we get a palindrome (1300200020031).

The spelling of 1000100010030 in words is "one trillion, one hundred million, ten thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 5830 8745 17490 57181247 114362494 171543741 285906235 343087482 571812470 628993717 857718705 1257987434 1715437410 1886981151 3030606091 3144968585 3773962302 6061212182 6289937170 9091818273 9434905755 15153030455 18183636546 18869811510 30306060910 33336667001 45459091365 66673334002 90918182730 100010001003 166683335005 200020002006 333366670010 500050005015 1000100010030