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10342686601 = 13278232
BaseRepresentation
bin10011010000111100…
…01101111110001001
3222200210120220202201
421220132031332021
5132140211432401
64430143400201
7514205246152
oct115036157611
928623526681
1010342686601
1144281a4585
1220078b3061
13c8a9b2900
14701888929
15407eeeb01
hex26878df89

10342686601 has 9 divisors (see below), whose sum is σ = 11200908999. Its totient is φ = 9545874936.

The previous prime is 10342686577. The next prime is 10342686611. The reversal of 10342686601 is 10668624301.

It is a happy number.

The square root of 10342686601 is 101699.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1529983225 + 8812703376 = 39115^2 + 93876^2 .

It is not a de Polignac number, because 10342686601 - 29 = 10342686089 is a prime.

It is a super-2 number, since 2×103426866012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10342686611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1318176 + ... + 1325998.

Almost surely, 210342686601 is an apocalyptic number.

10342686601 is the 101699-th square number.

10342686601 is the 50850-th centered octagonal number.

It is an amenable number.

10342686601 is a deficient number, since it is larger than the sum of its proper divisors (858222398).

10342686601 is an frugal number, since it uses more digits than its factorization.

10342686601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15672 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 10342686601 in words is "ten billion, three hundred forty-two million, six hundred eighty-six thousand, six hundred one".

Divisors: 1 13 169 7823 101699 1322087 61199329 795591277 10342686601