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1002145403231 = 75920811166027
BaseRepresentation
bin11101001010101001000…
…01010101000101011111
310112210201020101012102222
432211110201111011133
5112404343210400411
62044213525535555
7132255045243650
oct16452441250537
93483636335388
101002145403231
11357009a55115
121422805745bb
137366a8c26cb
143670b351527
151b104c9b4db
hexe95485515f

1002145403231 has 16 divisors (see below), whose sum is σ = 1165281742080. Its totient is φ = 844016259840.

The previous prime is 1002145403143. The next prime is 1002145403243. The reversal of 1002145403231 is 1323045412001.

It is a happy number.

1002145403231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002145403231 is a prime.

It is a super-2 number, since 2×10021454032312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002145403231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002145403531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276440 + ... + 1442466.

It is an arithmetic number, because the mean of its divisors is an integer number (72830108880).

Almost surely, 21002145403231 is an apocalyptic number.

1002145403231 is a deficient number, since it is larger than the sum of its proper divisors (163136338849).

1002145403231 is a wasteful number, since it uses less digits than its factorization.

1002145403231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168174.

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 1002145403231 in words is "one trillion, two billion, one hundred forty-five million, four hundred three thousand, two hundred thirty-one".

Divisors: 1 7 59 413 2081 14567 122779 859453 1166027 8162189 68795593 481569151 2426502187 16985515309 143163629033 1002145403231