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1021020120105 = 35172327568999
BaseRepresentation
bin11101101101110011000…
…10101010010000101001
310121121102122111011102220
432312321202222100221
5113212022122320410
62101014500344253
7133523554553016
oct16667142522051
93547378434386
101021020120105
11364015270287
12145a696a5089
137538810662b
14375bbdd670d
151b85bd3a070
hexedb98aa429

1021020120105 has 48 divisors (see below), whose sum is σ = 1808203824000. Its totient is φ = 490228862464.

The previous prime is 1021020120101. The next prime is 1021020120143. The reversal of 1021020120105 is 5010210201201.

1021020120105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1021020120105 - 22 = 1021020120101 is a prime.

It is a super-2 number, since 2×10210201201052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1021020120101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3649605 + ... + 3919394.

It is an arithmetic number, because the mean of its divisors is an integer number (37670913000).

Almost surely, 21021020120105 is an apocalyptic number.

1021020120105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1021020120105 is a deficient number, since it is larger than the sum of its proper divisors (787183703895).

1021020120105 is a wasteful number, since it uses less digits than its factorization.

1021020120105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569070 (or 7569047 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 1021020120105 its reverse (5010210201201), we get a palindrome (6031230321306).

The spelling of 1021020120105 in words is "one trillion, twenty-one billion, twenty million, one hundred twenty thousand, one hundred five".

Divisors: 1 3 5 15 17 23 51 69 85 115 255 345 391 529 1173 1587 1955 2645 5865 7935 8993 26979 44965 134895 7568999 22706997 37844995 113534985 128672983 174086977 386018949 522260931 643364915 870434885 1930094745 2611304655 2959478609 4004000471 8878435827 12012001413 14797393045 20020002355 44392179135 60060007065 68068008007 204204024021 340340040035 1021020120105