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110021220013432 = 237137320531008401
BaseRepresentation
bin11001000001000001001111…
…101111001001010101111000
3112102112220222222202011011111
4121001001033233021111320
5103410041424310412212
61025555014542210104
732113525252615120
oct3101011757112570
9472486888664144
10110021220013432
11320688124a5382
121040aa23b83934
134950c58659b20
141d250ac285c80
15cabd8761dea7
hex64104fbc9578

110021220013432 has 128 divisors (see below), whose sum is σ = 257498758258560. Its totient is φ = 42907694284800.

The previous prime is 110021220013387. The next prime is 110021220013451. The reversal of 110021220013432 is 234310022120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108600432 + ... + 109608832.

It is an arithmetic number, because the mean of its divisors is an integer number (2011709048895).

Almost surely, 2110021220013432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021220013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128749379129280).

110021220013432 is an abundant number, since it is smaller than the sum of its proper divisors (147477538245128).

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

110021220013432 is a wasteful number, since it uses less digits than its factorization.

110021220013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010553 (or 1010549 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 110021220013432 its reverse (234310022120011), we get a palindrome (344331242133443).

The spelling of 110021220013432 in words is "one hundred ten trillion, twenty-one billion, two hundred twenty million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 182 292 364 511 584 728 949 1022 1898 2044 2053 3796 4088 4106 6643 7592 8212 13286 14371 16424 26572 26689 28742 53144 53378 57484 106756 114968 149869 186823 213512 299738 373646 599476 747292 1008401 1049083 1198952 1494584 1948297 2016802 2098166 3896594 4033604 4196332 7058807 7793188 8067208 8392664 13109213 13638079 14117614 15586376 26218426 27276158 28235228 52436852 54552316 56470456 73613273 91764491 104873704 109104632 147226546 183528982 294453092 367057964 515292911 588906184 734115928 956972549 1030585822 1913945098 2061171644 2070247253 3827890196 4122343288 4140494506 6698807843 7655780392 8280989012 13397615686 14491730771 16561978024 26795231372 26913214289 28983461542 53590462744 53826428578 57966923084 107652857156 115933846168 151128049469 188392500023 215305714312 302256098938 376785000046 604512197876 753570000092 1057896346283 1209024395752 1507140000184 1964664643097 2115792692566 3929329286194 4231585385132 7858658572388 8463170770264 13752652501679 15717317144776 27505305003358 55010610006716 110021220013432