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31344220332 = 22327113988223
BaseRepresentation
bin11101001100010000…
…101101100010101100
32222220102200101000100
4131030100231202230
51003143110022312
622222131231100
72156511322365
oct351420554254
988812611010
1031344220332
1112324aa4727
1260a9148490
132c56a13849
141734b9ab6c
15c36b515dc
hex74c42d8ac

31344220332 has 72 divisors (see below), whose sum is σ = 80926110720. Its totient is φ = 10226694240.

The previous prime is 31344220331. The next prime is 31344220361. The reversal of 31344220332 is 23302244313.

31344220332 is a `hidden beast` number, since 3 + 13 + 442 + 203 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31344220296 and 31344220305.

It is not an unprimeable number, because it can be changed into a prime (31344220331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311173 + ... + 399395.

It is an arithmetic number, because the mean of its divisors is an integer number (1123973760).

Almost surely, 231344220332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31344220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40463055360).

31344220332 is an abundant number, since it is smaller than the sum of its proper divisors (49581890388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31344220332 is a wasteful number, since it uses less digits than its factorization.

31344220332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88443 (or 88438 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 31344220332 its reverse (23302244313), we get a palindrome (54646464645).

The spelling of 31344220332 in words is "thirty-one billion, three hundred forty-four million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 139 142 213 278 284 417 426 556 639 834 852 1251 1278 1668 2502 2556 5004 9869 19738 29607 39476 59214 88223 88821 118428 176446 177642 264669 352892 355284 529338 794007 1058676 1588014 3176028 6263833 12262997 12527666 18791499 24525994 25055332 36788991 37582998 49051988 56374497 73577982 75165996 110366973 112748994 147155964 220733946 225497988 441467892 870672787 1741345574 2612018361 3482691148 5224036722 7836055083 10448073444 15672110166 31344220332