Search a number
-
+
100012221110011 = 7225729712673137
BaseRepresentation
bin10110101111010111101000…
…111010011001011011111011
3111010010002000122111020112211
4112233113220322121123323
5101102100012101010021
6552412551411315551
730031434033644500
oct2657275072313373
9433102018436484
10100012221110011
1129959a43559aa1
12b2730565abbb7
1343a615c0464a2
141a9a88dd494a7
15b868326693e1
hex5af5e8e996fb

100012221110011 has 24 divisors (see below), whose sum is σ = 116832789596016. Its totient is φ = 85362428067840.

The previous prime is 100012221109981. The next prime is 100012221110047. The reversal of 100012221110011 is 110011122210001.

It is a happy number.

It is not a de Polignac number, because 100012221110011 - 25 = 100012221109979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012221109973 and 100012221110000.

It is not an unprimeable number, because it can be changed into a prime (100012221140011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36077235 + ... + 38750371.

It is an arithmetic number, because the mean of its divisors is an integer number (4868032899834).

Almost surely, 2100012221110011 is an apocalyptic number.

100012221110011 is a deficient number, since it is larger than the sum of its proper divisors (16820568486005).

100012221110011 is a wasteful number, since it uses less digits than its factorization.

100012221110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676379 (or 2676372 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100012221110011 its reverse (110011122210001), we get a palindrome (210023343320012).

The spelling of 100012221110011 in words is "one hundred trillion, twelve billion, two hundred twenty-one million, one hundred ten thousand, eleven".

Divisors: 1 7 49 257 1799 2971 12593 20797 145579 763547 2673137 5344829 18711959 37413803 130983713 686996209 4808973463 7941890027 33662814241 55593230189 389152611323 2041065736939 14287460158573 100012221110011