Search a number
-
+
100210121011 = 71113421237791
BaseRepresentation
bin101110101010011111…
…1010001100100110011
3100120122211000121002101
41131110333101210303
53120212242333021
6114011430401231
710145204655130
oct1352477214463
9316584017071
10100210121011
1139554001130
1217508200217
1395b01cb6c0
144bc8d19587
1529178e2a91
hex1754fd1933

100210121011 has 32 divisors (see below), whose sum is σ = 134868013056. Its totient is φ = 71907696000.

The previous prime is 100210120979. The next prime is 100210121021. The reversal of 100210121011 is 110121012001.

It is not a de Polignac number, because 100210121011 - 25 = 100210120979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210121021) 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, 302526 + ... + 540316.

It is an arithmetic number, because the mean of its divisors is an integer number (4214625408).

Almost surely, 2100210121011 is an apocalyptic number.

100210121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100210121011 is a deficient number, since it is larger than the sum of its proper divisors (34657892045).

100210121011 is a wasteful number, since it uses less digits than its factorization.

100210121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238243.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100210121011 its reverse (110121012001), we get a palindrome (210331133012).

The spelling of 100210121011 in words is "one hundred billion, two hundred ten million, one hundred twenty-one thousand, eleven".

Divisors: 1 7 11 13 77 91 143 421 1001 2947 4631 5473 32417 38311 60203 237791 421421 1664537 2615701 3091283 18309907 21638981 34004113 100110011 238028791 700770077 1101210121 1301430143 7708470847 9110011001 14315731573 100210121011