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2033131103031 = 37105192117761
BaseRepresentation
bin11101100101100000000…
…011101010001100110111
321012100212101212021020010
4131211200003222030313
5231302323030244111
64154001343311303
7266613612143130
oct35454003521467
97170771767203
102033131103031
1171427855a976
1228a04b5ab533
13119953524552
1470592aaac87
1537d46945aa6
hex1d9600ea337

2033131103031 has 16 divisors (see below), whose sum is σ = 3101052339968. Its totient is φ = 1160683776000.

The previous prime is 2033131102999. The next prime is 2033131103057. The reversal of 2033131103031 is 1303011313302.

It is not a de Polignac number, because 2033131103031 - 25 = 2033131102999 is a prime.

It is a super-2 number, since 2×20331311030312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2033131102989 and 2033131103007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033131103231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46036810 + ... + 46080951.

It is an arithmetic number, because the mean of its divisors is an integer number (193815771248).

Almost surely, 22033131103031 is an apocalyptic number.

2033131103031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2033131103031 is a deficient number, since it is larger than the sum of its proper divisors (1067921236937).

2033131103031 is a wasteful number, since it uses less digits than its factorization.

2033131103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92118822.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 2033131103031 its reverse (1303011313302), we get a palindrome (3336142416333).

The spelling of 2033131103031 in words is "two trillion, thirty-three billion, one hundred thirty-one million, one hundred three thousand, thirty-one".

Divisors: 1 3 7 21 1051 3153 7357 22071 92117761 276353283 644824327 1934472981 96815766811 290447300433 677710367677 2033131103031