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1002000233213 = 717231133239773
BaseRepresentation
bin11101001010010111101…
…11100011001011111101
310112210100010012210121122
432211023313203023331
5112404044024430323
62044151302240325
7132251333311520
oct16451367431375
93483303183548
101002000233213
11356a450117a1
1214223ba260a5
13736467c50a5
14366d5d62bb7
151b0e7172ec8
hexe94bde32fd

1002000233213 has 32 divisors (see below), whose sum is σ = 1276419119616. Its totient is φ = 766348627968.

The previous prime is 1002000233173. The next prime is 1002000233237. The reversal of 1002000233213 is 3123320002001.

It is a de Polignac number, because none of the positive numbers 2k-1002000233213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002000233191 and 1002000233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000233263) 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, 1310606 + ... + 1929167.

It is an arithmetic number, because the mean of its divisors is an integer number (39888097488).

Almost surely, 21002000233213 is an apocalyptic number.

It is an amenable number.

1002000233213 is a deficient number, since it is larger than the sum of its proper divisors (274418886403).

1002000233213 is a wasteful number, since it uses less digits than its factorization.

1002000233213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239933.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1002000233213 its reverse (3123320002001), we get a palindrome (4125320235214).

The spelling of 1002000233213 in words is "one trillion, two billion, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 7 17 23 113 119 161 391 791 1921 2599 2737 13447 18193 44183 309281 3239773 22678411 55076141 74514779 366094349 385532987 521603453 1266751243 2562660443 6223603933 8420170027 8867258701 43565227531 58941190189 143142890459 1002000233213