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101401264526146 = 2137930149180321
BaseRepresentation
bin10111000011100101010010…
…010110100001001101000010
3111022000212101110201220112021
4113003211102112201031002
5101242324242204314041
6555355033044352054
730233666602115404
oct2703452226411502
9438025343656467
10101401264526146
112a3450423326a2
12b4582b23a562a
134477137a17430
141b07bc1346b74
15baca2d963cd1
hex5c39525a1342

101401264526146 has 16 divisors (see below), whose sum is σ = 163804111600248. Its totient is φ = 46799992512000.

The previous prime is 101401264526129. The next prime is 101401264526147. The reversal of 101401264526146 is 641625462104101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59669522406025 + 41731742120121 = 7724605^2 + 6460011^2 .

It is a super-2 number, since 2×1014012645261462 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101401264526147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22528335 + ... + 26651986.

Almost surely, 2101401264526146 is an apocalyptic number.

101401264526146 is a deficient number, since it is larger than the sum of its proper divisors (62402847074102).

101401264526146 is a wasteful number, since it uses less digits than its factorization.

101401264526146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49259637.

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 101401264526146 in words is "one hundred one trillion, four hundred one billion, two hundred sixty-four million, five hundred twenty-six thousand, one hundred forty-six".

Divisors: 1 2 13 26 79301 158602 1030913 2061826 49180321 98360642 639344173 1278688346 3900048635621 7800097271242 50700632263073 101401264526146