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101030405201 = 1143953224129
BaseRepresentation
bin101111000010111100…
…0011010010001010001
3100122202222112100110022
41132011320122101101
53123402240431301
6114225052113225
710204425163205
oct1360570322121
9318688470408
10101030405201
1139935036850
12176b6a65815
1396b113416b
144c65c44b05
152964924d1b
hex1785e1a451

101030405201 has 16 divisors (see below), whose sum is σ = 112896970560. Its totient is φ = 89615339520.

The previous prime is 101030405149. The next prime is 101030405227. The reversal of 101030405201 is 102504030101.

It is a cyclic number.

It is not a de Polignac number, because 101030405201 - 230 = 99956663377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101030405201.

It is not an unprimeable number, because it can be changed into a prime (101030405401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338705 + ... + 562833.

It is an arithmetic number, because the mean of its divisors is an integer number (7056060660).

Almost surely, 2101030405201 is an apocalyptic number.

101030405201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101030405201 is a deficient number, since it is larger than the sum of its proper divisors (11866565359).

101030405201 is a wasteful number, since it uses less digits than its factorization.

101030405201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225136.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 101030405201 its reverse (102504030101), we get a palindrome (203534435302).

The spelling of 101030405201 in words is "one hundred one billion, thirty million, four hundred five thousand, two hundred one".

Divisors: 1 11 43 473 953 10483 40979 224129 450769 2465419 9637547 106013017 213594937 2349544307 9184582291 101030405201