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1032201003031 = 118912736722621
BaseRepresentation
bin11110000010100111111…
…10010110000000010111
310122200021212021212101221
433001103332112000113
5113402421424044111
62110104145431211
7134400621522232
oct17012376260027
93580255255357
101032201003031
113688326140a0
1214806a03b507
137644a6539a3
1437d5cd10419
151bcb3709371
hexf053f96017

1032201003031 has 32 divisors (see below), whose sum is σ = 1150833623040. Its totient is φ = 917966649600.

The previous prime is 1032201003013. The next prime is 1032201003047. The reversal of 1032201003031 is 1303001022301.

1032201003031 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 1032201003031 - 211 = 1032201000983 is a prime.

It is a super-2 number, since 2×10322010030312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1032201002996 and 1032201003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032201003091) 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, 45618901 + ... + 45641521.

It is an arithmetic number, because the mean of its divisors is an integer number (35963550720).

Almost surely, 21032201003031 is an apocalyptic number.

1032201003031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1032201003031 is a deficient number, since it is larger than the sum of its proper divisors (118632620009).

1032201003031 is a wasteful number, since it uses less digits than its factorization.

1032201003031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23215.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1032201003031 its reverse (1303001022301), we get a palindrome (2335202025332).

The spelling of 1032201003031 in words is "one trillion, thirty-two billion, two hundred one million, three thousand, thirty-one".

Divisors: 1 11 89 127 367 979 1397 4037 11303 22621 32663 46609 124333 248831 359293 512699 2013269 2872867 4148201 8301907 22145959 31601537 45630211 91320977 255685163 738869723 1054342189 2812536793 8127566953 11597764079 93836454821 1032201003031