Search a number
-
+
101110002200012 = 221317222393004961
BaseRepresentation
bin10110111111010110000001…
…110000111010110111001100
3111021000000120220021200222202
4112333112001300322313030
5101223041241030400022
6555013143242101032
730203646053153621
oct2677260160726714
9437000526250882
10101110002200012
112a242569345073
12b40b9671aa778
13445582b1cbb60
141ad7a70852348
15ba5183415592
hex5bf581c3adcc

101110002200012 has 72 divisors (see below), whose sum is σ = 202512322279680. Its totient is φ = 43901455933440.

The previous prime is 101110002199879. The next prime is 101110002200017. The reversal of 101110002200012 is 210002200011101.

It is a junction number, because it is equal to n+sod(n) for n = 101110002199966 and 101110002200002.

It is not an unprimeable number, because it can be changed into a prime (101110002200017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32145212 + ... + 35150172.

Almost surely, 2101110002200012 is an apocalyptic number.

It is an amenable number.

101110002200012 is an abundant number, since it is smaller than the sum of its proper divisors (101402320079668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101110002200012 is a wasteful number, since it uses less digits than its factorization.

101110002200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007251 (or 3007232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101110002200012 its reverse (210002200011101), we get a palindrome (311112202211113).

The spelling of 101110002200012 in words is "one hundred one trillion, one hundred ten billion, two million, two hundred thousand, twelve".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 884 1156 2239 3757 4478 7514 8956 15028 29107 38063 58214 76126 116428 152252 494819 647071 989638 1294142 1979276 2588284 3004961 6009922 8411923 12019844 16823846 33647692 39064493 51084337 78128986 102168674 156257972 204337348 664096381 868433729 1328192762 1736867458 2656385524 3473734916 6728107679 11289638477 13456215358 22579276954 26912430716 45158553908 87465399827 114377830543 174930799654 228755661086 349861599308 457511322172 1486911797059 1944423119231 2973823594118 3888846238462 5947647188236 7777692476924 25277500550003 50555001100006 101110002200012