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20000201000112 = 24323715101248579
BaseRepresentation
bin1001000110000101010001…
…11000000100010010110000
32121211000000101200100222100
410203002220320010102300
510110140402424000422
6110311544314140400
74132652424343014
oct443025070042260
977730011610870
1020000201000112
116411046073433
1222b020aa21700
13b2101ab2b308
144d202cc20544
1524a3b783b7ac
hex1230a8e044b0

20000201000112 has 120 divisors (see below), whose sum is σ = 57489600720240. Its totient is φ = 6486096038400.

The previous prime is 20000201000057. The next prime is 20000201000159. The reversal of 20000201000112 is 21100010200002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20000201000094 and 20000201000103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80333839 + ... + 80582417.

It is an arithmetic number, because the mean of its divisors is an integer number (479080006002).

Almost surely, 220000201000112 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 20000201000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28744800360120).

20000201000112 is an abundant number, since it is smaller than the sum of its proper divisors (37489399720128).

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

20000201000112 is a wasteful number, since it uses less digits than its factorization.

20000201000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263731 (or 263722 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20000201000112 its reverse (21100010200002), we get a palindrome (41100211200114).

The spelling of 20000201000112 in words is "twenty trillion, two hundred one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 15101 30202 45303 60404 90606 120808 135909 181212 241616 248579 271818 362424 497158 543636 558737 724848 745737 994316 1087272 1117474 1491474 1676211 1988632 2174544 2234948 2237211 2982948 3352422 3977264 4469896 4474422 5028633 5965896 6704844 8939792 8948844 9197423 10057266 11931792 13409688 17897688 18394846 20114532 26819376 27592269 35795376 36789692 40229064 55184538 73579384 80458128 82776807 110369076 147158768 165553614 220738152 331107228 441476304 662214456 1324428912 3753791479 7507582958 11261374437 15015165916 22522748874 30030331832 33784123311 45045497748 60060663664 67568246622 90090995496 135136493244 138890284723 180181990992 270272986488 277780569446 416670854169 540545972976 555561138892 833341708338 1111122277784 1250012562507 1666683416676 2222244555568 2500025125014 3333366833352 5000050250028 6666733666704 10000100500056 20000201000112