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1006227112501 = 135310340934667
BaseRepresentation
bin11101010010001111100…
…11110100001000110101
310120012020200211111221101
432221013303310020311
5112441223120100001
62050130535050101
7132461150222662
oct16510763641065
93505220744841
101006227112501
11358813a77766
1214301b510931
1373b6b4224b0
14369b7494a69
151b2932b1a01
hexea47cf4235

1006227112501 has 32 divisors (see below), whose sum is σ = 1117552101120. Its totient is φ = 900219999744.

The previous prime is 1006227112469. The next prime is 1006227112519. The reversal of 1006227112501 is 1052117226001.

It is not a de Polignac number, because 1006227112501 - 25 = 1006227112469 is a prime.

It is a super-2 number, since 2×10062271125012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006227112501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006227115501) 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, 29008170 + ... + 29042836.

It is an arithmetic number, because the mean of its divisors is an integer number (34923503160).

Almost surely, 21006227112501 is an apocalyptic number.

It is an amenable number.

1006227112501 is a deficient number, since it is larger than the sum of its proper divisors (111324988619).

1006227112501 is a wasteful number, since it uses less digits than its factorization.

1006227112501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35245.

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 1006227112501 in words is "one trillion, six billion, two hundred twenty-seven million, one hundred twelve thousand, five hundred one".

Divisors: 1 13 53 103 409 689 1339 5317 5459 21677 34667 42127 70967 281801 450671 547651 1837351 2232731 3570701 14178803 23885563 29025503 46419113 184324439 189247153 751476559 1460416709 2460212989 9769195267 18985417217 77402085577 1006227112501