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1312223131232 = 251319619268207
BaseRepresentation
bin10011000110000110100…
…101111111011001100000
311122110002002022212002022
4103012012211333121200
5132444413110144412
62442454343441012
7163543053402446
oct23060645773140
94573062285068
101312223131232
11466568825642
12192398a56168
1396985554980
1447724a8ab96
152420206da72
hex1318697f660

1312223131232 has 96 divisors (see below), whose sum is σ = 2933337254400. Its totient is φ = 572836520448.

The previous prime is 1312223131217. The next prime is 1312223131253. The reversal of 1312223131232 is 2321313222131.

It is a super-2 number, since 2×13122231312322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4758473 + ... + 5026679.

It is an arithmetic number, because the mean of its divisors is an integer number (30555596400).

Almost surely, 21312223131232 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 1312223131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466668627200).

1312223131232 is an abundant number, since it is smaller than the sum of its proper divisors (1621114123168).

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

1312223131232 is a wasteful number, since it uses less digits than its factorization.

1312223131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268868 (or 268860 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

Adding to 1312223131232 its reverse (2321313222131), we get a palindrome (3633536353363).

The spelling of 1312223131232 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 619 988 1238 1976 2476 3952 4952 7904 8047 9904 11761 16094 19808 23522 32188 47044 64376 94088 128752 152893 188176 257504 268207 305786 376352 536414 611572 1072828 1223144 2145656 2446288 3486691 4291312 4892576 5095933 6973382 8582624 10191866 13946764 20383732 27893528 40767464 55787056 66247129 81534928 111574112 132494258 163069856 166020133 264988516 332040266 529977032 664080532 1059954064 1328161064 2119908128 2158261729 2656322128 3154382527 4316523458 5312644256 6308765054 8633046916 12617530108 17266093832 25235060216 34532187664 41006972851 50470120432 69064375328 82013945702 100940240864 164027891404 328055782808 656111565616 1312223131232