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1010256131365 = 513191038099817
BaseRepresentation
bin11101011001101111111…
…01010011010100100101
310120120122111010212210021
432230313331103110211
5113023001032200430
62052034422555141
7132663042300445
oct16546775232445
93516574125707
101010256131365
1135a4a1281218
12143964898ab1
1374361064420
1436c7a600125
151b42bd6a07a
hexeb37f53525

1010256131365 has 64 divisors (see below), whose sum is σ = 1389474777600. Its totient is φ = 698972073984.

The previous prime is 1010256131363. The next prime is 1010256131371. The reversal of 1010256131365 is 5631316520101.

It is a cyclic number.

It is not a de Polignac number, because 1010256131365 - 21 = 1010256131363 is a prime.

It is a super-2 number, since 2×10102561313652 (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 1010256131365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010256131363) 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, 102903937 + ... + 102913753.

It is an arithmetic number, because the mean of its divisors is an integer number (21710543400).

Almost surely, 21010256131365 is an apocalyptic number.

It is an amenable number.

1010256131365 is a deficient number, since it is larger than the sum of its proper divisors (379218646235).

1010256131365 is a wasteful number, since it uses less digits than its factorization.

1010256131365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10766.

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 1010256131365 in words is "one trillion, ten billion, two hundred fifty-six million, one hundred thirty-one thousand, three hundred sixty-five".

Divisors: 1 5 13 19 65 95 103 247 515 809 1235 1339 1957 4045 6695 9785 9817 10517 15371 25441 49085 52585 76855 83327 127205 127621 186523 199823 416635 638105 932615 999115 1011151 1083251 1583213 2424799 5055755 5416255 7916065 7941953 12123995 13144963 19211869 20581769 39709765 65724815 96059345 102908845 103245389 150897107 249754297 516226945 754485535 818021159 1248771485 1961662391 4090105795 9808311955 10634275067 15542402021 53171375335 77712010105 202051226273 1010256131365