Search a number
-
+
1020113130030 = 2351312571010003
BaseRepresentation
bin11101101100000110111…
…10110001001000101110
310121112002102211021221220
432312003132301020232
5113203142430130110
62100344500404210
7133462232352051
oct16660336611056
93545072737856
101020113130030
1136369a2a4205
121458559a6666
1375272233407
143753377aa98
151b8073cc370
hexed837b122e

1020113130030 has 64 divisors (see below), whose sum is σ = 2476562128128. Its totient is φ = 268902932480.

The previous prime is 1020113129993. The next prime is 1020113130031. The reversal of 1020113130030 is 300313110201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1020113129991 and 1020113130009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020113130031) 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, 505009 + ... + 1515011.

It is an arithmetic number, because the mean of its divisors is an integer number (38696283252).

Almost surely, 21020113130030 is an apocalyptic number.

1020113130030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020113130030 is an abundant number, since it is smaller than the sum of its proper divisors (1456448998098).

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

1020113130030 is a wasteful number, since it uses less digits than its factorization.

1020113130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010401.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1020113130030 its reverse (300313110201), we get a palindrome (1320426240231).

The spelling of 1020113130030 in words is "one trillion, twenty billion, one hundred thirteen million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 131 257 262 393 514 655 771 786 1285 1310 1542 1965 2570 3855 3930 7710 33667 67334 101001 168335 202002 336670 505005 1010003 1010010 2020006 3030009 5050015 6060018 10100030 15150045 30300090 132310393 259570771 264620786 396931179 519141542 661551965 778712313 793862358 1297853855 1323103930 1557424626 1984655895 2595707710 3893561565 3969311790 7787123130 34003771001 68007542002 102011313003 170018855005 204022626006 340037710010 510056565015 1020113130030