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1005142356235 = 51779421355549
BaseRepresentation
bin11101010000001110010…
…01110011000100001011
310120002110002200012002101
432220013021303010023
5112432012420344420
62045431145014231
7132422236026163
oct16500711630413
93502402605071
101005142356235
11358307724286
12142978184377
1373a2777b094
14369133a35a3
151b22ce3c60a
hexea0727310b

1005142356235 has 32 divisors (see below), whose sum is σ = 1296363744000. Its totient is φ = 745456158720.

The previous prime is 1005142356227. The next prime is 1005142356289. The reversal of 1005142356235 is 5326532415001.

It is not a de Polignac number, because 1005142356235 - 23 = 1005142356227 is a prime.

It is a super-2 number, since 2×10051423562352 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005142356194 and 1005142356203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649241 + ... + 3004789.

It is an arithmetic number, because the mean of its divisors is an integer number (40511367000).

Almost surely, 21005142356235 is an apocalyptic number.

1005142356235 is a deficient number, since it is larger than the sum of its proper divisors (291221387765).

1005142356235 is a wasteful number, since it uses less digits than its factorization.

1005142356235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356071.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 1005142356235 in words is "one trillion, five billion, one hundred forty-two million, three hundred fifty-six thousand, two hundred thirty-five".

Divisors: 1 5 17 79 85 395 421 1343 2105 6715 7157 33259 35785 166295 355549 565403 1777745 2827015 6044333 28088371 30221665 140441855 149686129 477502307 748430645 2387511535 2544664193 11825204191 12723320965 59126020955 201028471247 1005142356235