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10002112020110 = 257416157132073
BaseRepresentation
bin1001000110001100110001…
…0101010111111010001110
31022102012012101100222202102
42101203030111113322032
52302333311134120420
633134523512555102
72051425442253320
oct221431425277216
938365171328672
1010002112020110
113206965531a91
1211565870b2a92
1357726c894572
14268167827610
151252a0581a75
hex918cc557e8e

10002112020110 has 64 divisors (see below), whose sum is σ = 21423156580224. Its totient is φ = 3290807347200.

The previous prime is 10002112020079. The next prime is 10002112020119. The reversal of 10002112020110 is 1102021120001.

10002112020110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10002112020091 and 10002112020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002112020119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28390967 + ... + 28741106.

It is an arithmetic number, because the mean of its divisors is an integer number (334736821566).

Almost surely, 210002112020110 is an apocalyptic number.

10002112020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002112020110 is an abundant number, since it is smaller than the sum of its proper divisors (11421044560114).

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

10002112020110 is a wasteful number, since it uses less digits than its factorization.

10002112020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57132189.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002112020110 its reverse (1102021120001), we get a palindrome (11104133140111).

The spelling of 10002112020110 in words is "ten trillion, two billion, one hundred twelve million, twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 41 61 70 82 122 205 287 305 410 427 574 610 854 1435 2135 2501 2870 4270 5002 12505 17507 25010 35014 87535 175070 57132073 114264146 285660365 399924511 571320730 799849022 1999622555 2342414993 3485056453 3999245110 4684829986 6970112906 11712074965 16396904951 17425282265 23424149930 24395395171 32793809902 34850564530 48790790342 81984524755 121976975855 142887314573 163969049510 243953951710 285774629146 714436572865 1000211202011 1428873145730 2000422404022 5001056010055 10002112020110