Search a number
-
+
12220202312331 = 3134491171595951
BaseRepresentation
bin1011000111010011110011…
…0100010110001010001011
31121021020110220120120212220
42301310330310112022023
53100203433242443311
641553514453505123
72400611001541206
oct261647464261213
947236426516786
1012220202312331
1139916166972a2
1214544350421a3
136a848b2a0310
14303664baa93d
15162d1ec75206
hexb1d3cd1628b

12220202312331 has 32 divisors (see below), whose sum is σ = 17601084748800. Its totient is φ = 7496955648000.

The previous prime is 12220202312309. The next prime is 12220202312371. The reversal of 12220202312331 is 13321320202221.

12220202312331 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 12220202312331 - 215 = 12220202279563 is a prime.

It is a super-2 number, since 2×122202023123312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220202312371) 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, 20207406 + ... + 20803356.

It is an arithmetic number, because the mean of its divisors is an integer number (550033898400).

Almost surely, 212220202312331 is an apocalyptic number.

12220202312331 is a deficient number, since it is larger than the sum of its proper divisors (5380882436469).

12220202312331 is a wasteful number, since it uses less digits than its factorization.

12220202312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597587.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12220202312331 its reverse (13321320202221), we get a palindrome (25541522514552).

The spelling of 12220202312331 in words is "twelve trillion, two hundred twenty billion, two hundred two million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 13 39 449 1171 1347 3513 5837 15223 17511 45669 525779 595951 1577337 1787853 6835127 7747363 20505381 23242089 267581999 697858621 802745997 2093575863 3478565987 9072162073 10435697961 27216486219 313338520829 940015562487 4073400770777 12220202312331