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100420023343344 = 24373347111773939
BaseRepresentation
bin10110110101010011011011…
…110100011101100011110000
3111011120001122002100010120120
4112311103123310131203300
5101130240201433441334
6553324153304410240
730103051535512455
oct2665233364354360
9434501562303516
10100420023343344
1129aa6990261811
12b31a0a6776980
13440574bc43033
141ab24d841582c
15b9224dee5949
hex5b54dbd1d8f0

100420023343344 has 160 divisors (see below), whose sum is σ = 263969590460160. Its totient is φ = 32889742350336.

The previous prime is 100420023343301. The next prime is 100420023343363. The reversal of 100420023343344 is 443343320024001.

It is a happy number.

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, 1358109927 + ... + 1358183865.

It is an arithmetic number, because the mean of its divisors is an integer number (1649809940376).

Almost surely, 2100420023343344 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 100420023343344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131984795230080).

100420023343344 is an abundant number, since it is smaller than the sum of its proper divisors (163549567116816).

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

100420023343344 is a wasteful number, since it uses less digits than its factorization.

100420023343344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75487 (or 75481 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 100420023343344 its reverse (443343320024001), we get a palindrome (543763343367345).

The spelling of 100420023343344 in words is "one hundred trillion, four hundred twenty billion, twenty-three million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 347 438 584 694 876 1041 1117 1168 1388 1752 2082 2234 2776 3351 3504 4164 4468 5552 6702 8328 8936 13404 16656 17872 25331 26808 50662 53616 73939 75993 81541 101324 147878 151986 163082 202648 221817 244623 295756 303972 326164 387599 405296 443634 489246 591512 607944 652328 775198 887268 978492 1162797 1183024 1215888 1304656 1550396 1774536 1956984 2325594 3100792 3549072 3913968 4651188 5397547 6201584 9302376 10795094 16192641 18604752 21590188 25656833 28294727 32385282 43180376 51313666 56589454 64770564 76970499 82589863 84884181 86360752 102627332 113178908 129541128 153940998 165179726 169768362 205254664 226357816 247769589 259082256 307881996 330359452 339536724 410509328 452715632 495539178 615763992 660718904 679073448 991078356 1231527984 1321437808 1358146896 1872948809 1982156712 3745897618 3964313424 5618846427 6029059999 7491795236 11237692854 12058119998 14983590472 18087179997 22475385708 24116239996 28658682461 29967180944 36174359994 44950771416 48232479992 57317364922 72348719988 85976047383 89901542832 96464959984 114634729844 144697439976 171952094766 229269459688 289394879952 343904189532 458538919376 687808379064 1375616758128 2092083819653 4184167639306 6276251458959 8368335278612 12552502917918 16736670557224 25105005835836 33473341114448 50210011671672 100420023343344