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132220511305623 = 321310190989122971
BaseRepresentation
bin11110000100000011111100…
…100110111011111110010111
3122100011011020202210002221100
4132010003330212323332113
5114312300101343234443
61145113133033321143
736564421346322426
oct3604037446737627
9570134222702840
10132220511305623
1139147449717764
12129b52798661b3
1358a1457726350
142491714cb12bd
15104455b5b43d3
hex7840fc9bbf97

132220511305623 has 48 divisors (see below), whose sum is σ = 207716722405920. Its totient is φ = 80559319392000.

The previous prime is 132220511305567. The next prime is 132220511305639. The reversal of 132220511305623 is 326503115022231.

132220511305623 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 20 + 5 + 1 + 1 + 3 + 0 + 5 + 623 = 666.

It is not a de Polignac number, because 132220511305623 - 216 = 132220511240087 is a prime.

It is a super-2 number, since 2×1322205113056232 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220511300623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075155528 + ... + 1075278498.

It is an arithmetic number, because the mean of its divisors is an integer number (4327431716790).

Almost surely, 2132220511305623 is an apocalyptic number.

132220511305623 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132220511305623 is a deficient number, since it is larger than the sum of its proper divisors (75496211100297).

132220511305623 is a wasteful number, since it uses less digits than its factorization.

132220511305623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214080 (or 214077 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 132220511305623 its reverse (326503115022231), we get a palindrome (458723626327854).

The spelling of 132220511305623 in words is "one hundred thirty-two trillion, two hundred twenty billion, five hundred eleven million, three hundred five thousand, six hundred twenty-three".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 11817 90989 122971 272967 368913 818901 1106739 1182857 1598623 3548571 4795869 9189889 10645713 12420071 14387607 27569667 37260213 82709001 111780639 119468557 161460923 358405671 484382769 1075217013 1453148307 11189008319 33567024957 100701074871 145457108147 436371324441 1130089840219 1309113973323 3390269520657 10170808561971 14691167922847 44073503768541 132220511305623