Search a number
-
+
1001112300030 = 235371433629381
BaseRepresentation
bin11101001000101101111…
…00010110100111111110
310112201001020102010021110
432210112330112213332
5112400234222100110
62043523222542450
7132220332101163
oct16442674264776
93481036363243
101001112300030
11356629881417
12142032597a26
1373534864c3b
143665006806a
151b09422ba20
hexe916f169fe

1001112300030 has 64 divisors (see below), whose sum is σ = 2469332443968. Its totient is φ = 259566382080.

The previous prime is 1001112299959. The next prime is 1001112300037. The reversal of 1001112300030 is 300032111001.

It is a junction number, because it is equal to n+sod(n) for n = 1001112299979 and 1001112300015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112300037) 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, 1275940 + ... + 1905320.

It is an arithmetic number, because the mean of its divisors is an integer number (38583319437).

Almost surely, 21001112300030 is an apocalyptic number.

1001112300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001112300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234666221984).

1001112300030 is an abundant number, since it is smaller than the sum of its proper divisors (1468220143938).

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

1001112300030 is a wasteful number, since it uses less digits than its factorization.

1001112300030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630861.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001112300030 its reverse (300032111001), we get a palindrome (1301144411031).

The spelling of 1001112300030 in words is "one trillion, one billion, one hundred twelve million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1433 2866 4299 7165 8598 14330 21495 42990 53021 106042 159063 265105 318126 530210 629381 795315 1258762 1590630 1888143 3146905 3776286 6293810 9440715 18881430 23287097 46574194 69861291 116435485 139722582 232870970 349306455 698612910 901902973 1803805946 2705708919 4509514865 5411417838 9019029730 13528544595 27057089190 33370410001 66740820002 100111230003 166852050005 200222460006 333704100010 500556150015 1001112300030