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103332203303031 = 3319972076570071
BaseRepresentation
bin10111011111101011100111…
…010001011001000001110111
3111112212110110220201010102000
4113133223213101121001313
5102020443323021144111
61003434054151550343
730523335216654603
oct2737534721310167
9445773426633360
10103332203303031
112aa19a3999937a
12b70a58198b3b3
134587253486731
141b7343bb52503
15be2d9396bc56
hex5dfae7459077

103332203303031 has 32 divisors (see below), whose sum is σ = 162803093644800. Its totient is φ = 64589635457280.

The previous prime is 103332203303029. The next prime is 103332203303059. The reversal of 103332203303031 is 130303302233301.

103332203303031 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 3 + 2 + 20 + 330 + 303 + 1 = 666.

It is not a de Polignac number, because 103332203303031 - 21 = 103332203303029 is a prime.

It is a super-2 number, since 2×1033322033030312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103332203302986 and 103332203303004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332203303081) 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, 1038235275 + ... + 1038334796.

It is an arithmetic number, because the mean of its divisors is an integer number (5087596676400).

Almost surely, 2103332203303031 is an apocalyptic number.

103332203303031 is a deficient number, since it is larger than the sum of its proper divisors (59470890341769).

103332203303031 is a wasteful number, since it uses less digits than its factorization.

103332203303031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076570196 (or 2076570190 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 103332203303031 its reverse (130303302233301), we get a palindrome (233635505536332).

The spelling of 103332203303031 in words is "one hundred three trillion, three hundred thirty-two billion, two hundred three million, three hundred three thousand, thirty-one".

Divisors: 1 3 9 19 27 57 97 171 291 513 873 1843 2619 5529 16587 49761 2076570071 6229710213 18689130639 39454831349 56067391917 118364494047 201427296887 355093482141 604281890661 1065280446423 1812845671983 3827118640853 5438537015949 11481355922559 34444067767677 103332203303031