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1032102130031 = 73743293316291
BaseRepresentation
bin11110000010011100001…
…01001011000101101111
310122200000222020121010222
433001032011023011233
5113402221121130111
62110050254321555
7134365311232610
oct17011605130557
93580028217128
101032102130031
11368791822375
12148040ab92bb
137643301615b
1437d4db33c07
151bca9bc87db
hexf04e14b16f

1032102130031 has 32 divisors (see below), whose sum is σ = 1243832206848. Its totient is φ = 837859800960.

The previous prime is 1032102130027. The next prime is 1032102130057. The reversal of 1032102130031 is 1300312012301.

1032102130031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032102130031 - 22 = 1032102130027 is a prime.

It is a super-3 number, since 3×10321021300313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1032102129991 and 1032102130009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032102138031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3104996 + ... + 3421286.

It is an arithmetic number, because the mean of its divisors is an integer number (38869756464).

Almost surely, 21032102130031 is an apocalyptic number.

1032102130031 is a deficient number, since it is larger than the sum of its proper divisors (211730076817).

1032102130031 is a wasteful number, since it uses less digits than its factorization.

1032102130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316671.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1032102130031 its reverse (1300312012301), we get a palindrome (2332414142332).

The spelling of 1032102130031 in words is "one trillion, thirty-two billion, one hundred two million, one hundred thirty thousand, thirty-one".

Divisors: 1 7 37 43 259 293 301 1591 2051 10841 11137 12599 75887 88193 316291 466163 2214037 3263141 11702767 13600513 81919369 92673263 95203591 503218981 648712841 3428910731 3522532867 3984950309 24002375117 27894652163 147443161433 1032102130031