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101002212231 = 34161113119129
BaseRepresentation
bin101111000010000110…
…0110111001110000111
3100122201000110222222020
41132010030313032013
53123323031242411
6114222203534223
710203633432024
oct1360414671607
9318630428866
10101002212231
113992012aa78
12176a952a373
1396a834282b
144c621c654b
152962206606
hex1784337387

101002212231 has 32 divisors (see below), whose sum is σ = 141457821120. Its totient is φ = 64043212800.

The previous prime is 101002212211. The next prime is 101002212281. The reversal of 101002212231 is 132212200101.

It is not a de Polignac number, because 101002212231 - 215 = 101002179463 is a prime.

It is a super-2 number, since 2×1010022122312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101002212231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002212211) 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 31 ways as a sum of consecutive naturals, for example, 788275 + ... + 907403.

It is an arithmetic number, because the mean of its divisors is an integer number (4420556910).

Almost surely, 2101002212231 is an apocalyptic number.

101002212231 is a deficient number, since it is larger than the sum of its proper divisors (40455608889).

101002212231 is a wasteful number, since it uses less digits than its factorization.

101002212231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119347.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101002212231 its reverse (132212200101), we get a palindrome (233214412332).

The spelling of 101002212231 in words is "one hundred one billion, two million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 41 61 113 123 183 339 2501 4633 6893 7503 13899 20679 119129 282613 357387 847839 4884289 7266869 13461577 14652867 21800607 40384731 297941629 551924657 821156197 893824887 1655773971 2463468591 33667404077 101002212231