Search a number
-
+
203112311303031 = 31359709318139139
BaseRepresentation
bin101110001011101011000101…
…001010100010101101110111
3222122011100101012102200002120
4232023223011022202231313
5203110243003143144111
61555552301354011023
760532244264021064
oct5613530512425567
9878140335380076
10203112311303031
11597994a1670329
121a94463a116a73
1389445410ba7c0
14382298ca71c6b
15187363d781406
hexb8bac52a2b77

203112311303031 has 64 divisors (see below), whose sum is σ = 297110925888000. Its totient is φ = 122658667338240.

The previous prime is 203112311303009. The next prime is 203112311303101. The reversal of 203112311303031 is 130303113211302.

It is a de Polignac number, because none of the positive numbers 2k-203112311303031 is a prime.

It is a super-2 number, since 2×2031123113030312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203112311302992 and 203112311303010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203112311303131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5189492460 + ... + 5189531598.

It is an arithmetic number, because the mean of its divisors is an integer number (4642358217000).

Almost surely, 2203112311303031 is an apocalyptic number.

203112311303031 is a deficient number, since it is larger than the sum of its proper divisors (93998614584969).

203112311303031 is a wasteful number, since it uses less digits than its factorization.

203112311303031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43104.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 203112311303031 its reverse (130303113211302), we get a palindrome (333415424514333).

The spelling of 203112311303031 in words is "two hundred three trillion, one hundred twelve billion, three hundred eleven million, three hundred three thousand, thirty-one".

Divisors: 1 3 13 39 59 177 709 767 2127 2301 3181 9217 9543 27651 39139 41353 41831 117417 124059 125493 187679 508807 543803 563037 1526421 1631409 2255329 2309201 2439827 6765987 6927603 7319481 27749551 29319277 30019613 83248653 87957831 90058839 124501159 133064411 360744163 373503477 399193233 1082232489 1618515067 1637223509 1729837343 4855545201 4911670527 5189512029 7345568381 21283905617 22036705143 63851716851 88271321731 95492388953 264813965193 286477166859 1147527182503 3442581547509 5208007982129 15624023946387 67704103767677 203112311303031