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10002012111 = 3471359109211
BaseRepresentation
bin10010101000010101…
…01001011111001111
3221211001112212020000
421110022221133033
5130441003341421
64332253455343
7502600462110
oct112412513717
927731485200
1010002012111
114272969813
121b317a1553
13c35243280
146ac528207
153d8159226
hex2542a97cf

10002012111 has 160 divisors (see below), whose sum is σ = 18961958400. Its totient is φ = 5114430720.

The previous prime is 10002012109. The next prime is 10002012131. The reversal of 10002012111 is 11121020001.

It is a happy number.

10002012111 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002012111 - 21 = 10002012109 is a prime.

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 = 10002012093 and 10002012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002012131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47402796 + ... + 47403006.

It is an arithmetic number, because the mean of its divisors is an integer number (118512240).

Almost surely, 210002012111 is an apocalyptic number.

10002012111 is a deficient number, since it is larger than the sum of its proper divisors (8959946289).

10002012111 is a wasteful number, since it uses less digits than its factorization.

10002012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002012111 its reverse (11121020001), we get a palindrome (21123032112).

The spelling of 10002012111 in words is "ten billion, two million, twelve thousand, one hundred eleven".

Divisors: 1 3 7 9 13 21 27 39 59 63 81 91 109 117 177 189 211 273 327 351 413 531 567 633 763 767 819 981 1053 1239 1417 1477 1593 1899 2289 2301 2457 2743 2943 3717 4251 4431 4779 5369 5697 6431 6867 6903 7371 8229 8829 9919 11151 12449 12753 13293 16107 17091 19201 19293 20601 20709 22999 24687 29757 33453 37347 38259 39879 45017 48321 57603 57879 61803 62127 68997 74061 83603 87143 89271 112041 114777 119637 135051 144963 160993 161837 172809 173637 206991 222183 250809 261429 267813 298987 336123 405153 434889 482979 485511 518427 520911 585221 620973 752427 784287 803439 896961 1008369 1132859 1215459 1356941 1448937 1456533 1555281 1755663 1862919 2092909 2257281 2352861 2690883 3398577 3646377 4070823 4346811 4369599 5266989 6278727 6771843 7058583 8072649 9498587 10195731 12212469 13040433 13108797 15800967 17640233 18836181 24217947 28495761 30587193 36637407 47402901 52920699 56508543 85487283 91761579 109912221 123481631 158762097 169525629 256461849 370444893 476286291 769385547 1111334679 1428858873 3334004037 10002012111