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101332103030311 = 10310976911736997
BaseRepresentation
bin10111000010100100111000…
…000000010110011000100111
3111021210020212111011220010111
4113002210320000112120213
5101240211121333432221
6555303154145433451
730226000656110326
oct2702447000263047
9437706774156114
10101332103030311
112a31878149017a
12b446a1033b887
1344707652146ba
141b046ddc400bd
15baad31c83be1
hex5c2938016627

101332103030311 has 16 divisors (see below), whose sum is σ = 103388867982400. Its totient is φ = 99298366414848.

The previous prime is 101332103030293. The next prime is 101332103030321. The reversal of 101332103030311 is 113030301233101.

It is a cyclic number.

It is not a de Polignac number, because 101332103030311 - 27 = 101332103030183 is a prime.

It is a super-3 number, since 3×1013321030303113 (a number of 43 digits) contains 333 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 (101332103030321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2765065 + ... + 14502061.

It is an arithmetic number, because the mean of its divisors is an integer number (6461804248900).

Almost surely, 2101332103030311 is an apocalyptic number.

101332103030311 is a deficient number, since it is larger than the sum of its proper divisors (2056764952089).

101332103030311 is a wasteful number, since it uses less digits than its factorization.

101332103030311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11737978.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 101332103030311 its reverse (113030301233101), we get a palindrome (214362404263412).

The spelling of 101332103030311 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred three million, thirty thousand, three hundred eleven".

Divisors: 1 103 109 769 11227 79207 83821 8633563 11736997 1208910691 1279332673 9025750693 131771265319 929652321379 983806825537 101332103030311