Search a number
-
+
101133300101 = 1733117972863
BaseRepresentation
bin101111000110000000…
…0111011000110000101
3100200001011010221201112
41132030000323012011
53124110111100401
6114243205334405
710210114603301
oct1361400730605
9320034127645
10101133300101
1139988125259
1217725407405
1396c954c512
144c7578ad01
15296d99c3bb
hex178c03b185

101133300101 has 8 divisors (see below), whose sum is σ = 107405835264. Its totient is φ = 94896711360.

The previous prime is 101133300083. The next prime is 101133300119. The reversal of 101133300101 is 101003331101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101133300083) and next prime (101133300119).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101133300101 is a prime.

It is a super-2 number, since 2×1011333001012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133300131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8980805 + ... + 8992058.

It is an arithmetic number, because the mean of its divisors is an integer number (13425729408).

Almost surely, 2101133300101 is an apocalyptic number.

It is an amenable number.

101133300101 is a deficient number, since it is larger than the sum of its proper divisors (6272535163).

101133300101 is a wasteful number, since it uses less digits than its factorization.

101133300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17973211.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101133300101 its reverse (101003331101), we get a palindrome (202136631202).

The spelling of 101133300101 in words is "one hundred one billion, one hundred thirty-three million, three hundred thousand, one hundred one".

Divisors: 1 17 331 5627 17972863 305538671 5949017653 101133300101