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10011022021112 = 23719101853109211
BaseRepresentation
bin1001000110101101111101…
…1010010101000111111000
31022110001012100002221100112
42101223133122111013320
52303010033114133422
633143000001123452
72052162313104530
oct221533732250770
938401170087315
1010011022021112
11320a717a42682
121158253029588
1357805c7c31c8
14268770cd24c0
151256228d1ee2
hex91adf6951f8

10011022021112 has 128 divisors (see below), whose sum is σ = 22831773350400. Its totient is φ = 4019626944000.

The previous prime is 10011022021061. The next prime is 10011022021139. The reversal of 10011022021112 is 21112022011001.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 91612187 + ... + 91721397.

It is an arithmetic number, because the mean of its divisors is an integer number (178373229300).

Almost surely, 210011022021112 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 10011022021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415886675200).

10011022021112 is an abundant number, since it is smaller than the sum of its proper divisors (12820751329288).

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

10011022021112 is a wasteful number, since it uses less digits than its factorization.

10011022021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110197 (or 110193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011022021112 its reverse (21112022011001), we get a palindrome (31123044032113).

The spelling of 10011022021112 in words is "ten trillion, eleven billion, twenty-two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 101 133 152 202 266 404 532 707 808 853 1064 1414 1706 1919 2828 3412 3838 5656 5971 6824 7676 11942 13433 15352 16207 23884 26866 32414 47768 53732 64828 86153 107464 109211 113449 129656 172306 218422 226898 344612 436844 453796 603071 689224 764477 873688 907592 1206142 1528954 1636907 2075009 2412284 3057908 3273814 4150018 4824568 6115816 6547628 8300036 11030311 11458349 13095256 14525063 16600072 22060622 22916698 29050126 44121244 45833396 58100252 77212177 88242488 91666792 93156983 116200504 154424354 186313966 209575909 308848708 372627932 419151818 617697416 652098881 745255864 838303636 1304197762 1467031363 1676607272 1769982677 2608395524 2934062726 3539965354 5216791048 5868125452 7079930708 9408855283 11736250904 12389878739 14159861416 18817710566 24779757478 37635421132 49559514956 65861986981 75270842264 99119029912 131723973962 178768250377 263447947924 357536500754 526895895848 715073001508 1251377752639 1430146003016 2502755505278 5005511010556 10011022021112