Search a number
-
+
1012002201105 = 35731065718457
BaseRepresentation
bin11101011101000000000…
…10000001111000010001
310120202011011200102011220
432232200002001320101
5113040040030413410
62052523555155253
7133054233531000
oct16564002017021
93522134612156
101012002201105
11360207950265
121441715a5b29
137457ba2119c
1436da4478c37
151b4d02be070
hexeba0081e11

1012002201105 has 64 divisors (see below), whose sum is σ = 1888563494400. Its totient is φ = 462561103872.

The previous prime is 1012002201103. The next prime is 1012002201107. The reversal of 1012002201105 is 5011022002101.

It is an interprime number because it is at equal distance from previous prime (1012002201103) and next prime (1012002201107).

It is not a de Polignac number, because 1012002201105 - 21 = 1012002201103 is a prime.

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 (1012002201103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54821037 + ... + 54839493.

It is an arithmetic number, because the mean of its divisors is an integer number (29508804600).

Almost surely, 21012002201105 is an apocalyptic number.

1012002201105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012002201105 is a deficient number, since it is larger than the sum of its proper divisors (876561293295).

1012002201105 is a wasteful number, since it uses less digits than its factorization.

1012002201105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29143 (or 29129 counting only the distinct ones).

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

Adding to 1012002201105 its reverse (5011022002101), we get a palindrome (6023024203206).

The spelling of 1012002201105 in words is "one trillion, twelve billion, two million, two hundred one thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 1029 1715 5145 10657 18457 31971 53285 55371 74599 92285 129199 159855 223797 276855 372995 387597 522193 645995 904393 1118985 1566579 1937985 2610965 2713179 3655351 4521965 6330751 7832895 10966053 13565895 18276755 18992253 31653755 54830265 94961265 196696249 590088747 983481245 1376873743 2950443735 4130621229 6884368715 9638116201 20653106145 28914348603 48190581005 67466813407 144571743015 202400440221 337334067035 1012002201105