Search a number
-
+
101024210001 = 31113235487669
BaseRepresentation
bin101111000010110000…
…0110001110001010001
3100122202112212121020110
41132011200301301101
53123344144210001
6114224311231533
710204321421331
oct1360540616121
9318675777213
10101024210001
1139931595250
12176b49785a9
1396aca75370
144c650b10c1
1529640ee3d6
hex1785831c51

101024210001 has 16 divisors (see below), whose sum is σ = 158247714240. Its totient is φ = 56517040320.

The previous prime is 101024209931. The next prime is 101024210017. The reversal of 101024210001 is 100012420101.

It is a happy number.

It is not a de Polignac number, because 101024210001 - 211 = 101024207953 is a prime.

It is a super-2 number, since 2×1010242100012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101024210101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117743406 + ... + 117744263.

It is an arithmetic number, because the mean of its divisors is an integer number (9890482140).

Almost surely, 2101024210001 is an apocalyptic number.

101024210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101024210001 is a deficient number, since it is larger than the sum of its proper divisors (57223504239).

101024210001 is a wasteful number, since it uses less digits than its factorization.

101024210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235487696.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101024210001 its reverse (100012420101), we get a palindrome (201036630102).

The spelling of 101024210001 in words is "one hundred one billion, twenty-four million, two hundred ten thousand, one".

Divisors: 1 3 11 13 33 39 143 429 235487669 706463007 2590364359 3061339697 7771093077 9184019091 33674736667 101024210001