Search a number
-
+
100020111011010 = 23254337699333367
BaseRepresentation
bin10110101111011110111111…
…001011111110110011000010
3111010010211101111201202000100
4112233132333023332303002
5101102212141404323020
6552420334335303230
730032133410001351
oct2657367713766302
9433124344652010
10100020111011010
1129962322168433
12b27469897ab16
1343a6b1881b168
141a9addbb53998
15b86b45167a90
hex5af7bf2fecc2

100020111011010 has 96 divisors (see below), whose sum is σ = 260687508681600. Its totient is φ = 26606895220224.

The previous prime is 100020111010979. The next prime is 100020111011027. The reversal of 100020111011010 is 10110111020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100020111010983 and 100020111011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299863347 + ... + 300196713.

It is an arithmetic number, because the mean of its divisors is an integer number (2715494882100).

Almost surely, 2100020111011010 is an apocalyptic number.

100020111011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020111011010 is an abundant number, since it is smaller than the sum of its proper divisors (160667397670590).

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

100020111011010 is a wasteful number, since it uses less digits than its factorization.

100020111011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341512 (or 341509 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100020111011010 its reverse (10110111020001), we get a palindrome (110130222031011).

The spelling of 100020111011010 in words is "one hundred trillion, twenty billion, one hundred eleven million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 433 866 1299 2165 2598 3897 4330 6495 7699 7794 12990 15398 19485 23097 38495 38970 46194 69291 76990 115485 138582 230970 333367 346455 666734 692910 1000101 1666835 2000202 3000303 3333667 3333670 5000505 6000606 6667334 10001001 10001010 15001515 16668335 20002002 30003003 30003030 33336670 50005005 60006006 100010010 144347911 150015015 288695822 300030030 433043733 721739555 866087466 1299131199 1443479110 2165218665 2566592533 2598262398 4330437330 5133185066 6495655995 7699777599 12832962665 12991311990 15399555198 23099332797 25665925330 38498887995 46198665594 76997775990 115496663985 230993327970 1111334566789 2222669133578 3334003700367 5556672833945 6668007400734 10002011101101 11113345667890 16670018501835 20004022202202 33340037003670 50010055505505 100020111011010