Search a number
-
+
100011100020 = 223513128219359
BaseRepresentation
bin101110100100100100…
…0000100011101110100
3100120010221112021121120
41131021020010131310
53114310320200040
6113540000543540
710140240216036
oct1351110043564
9316127467546
10100011100020
1139461727777
1217471621bb0
13957abc7bc0
144baa70dc56
1529051cd7d0
hex1749204774

100011100020 has 48 divisors (see below), whose sum is σ = 301571934720. Its totient is φ = 24618116736.

The previous prime is 100011099971. The next prime is 100011100051. The reversal of 100011100020 is 20001110001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100011099981 and 100011100008.

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, 64108900 + ... + 64110459.

It is an arithmetic number, because the mean of its divisors is an integer number (6282748640).

Almost surely, 2100011100020 is an apocalyptic number.

100011100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011100020 is an abundant number, since it is smaller than the sum of its proper divisors (201560834700).

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

100011100020 is a wasteful number, since it uses less digits than its factorization.

100011100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128219384 (or 128219382 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100011100020 its reverse (20001110001), we get a palindrome (120012210021).

The spelling of 100011100020 in words is "one hundred billion, eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 128219359 256438718 384658077 512877436 641096795 769316154 1282193590 1538632308 1666851667 1923290385 2564387180 3333703334 3846580770 5000555001 6667406668 7693161540 8334258335 10001110002 16668516670 20002220004 25002775005 33337033340 50005550010 100011100020