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1312034321004 = 22311179233238321
BaseRepresentation
bin10011000101111011010…
…101101111001001101100
311122102120221001022010220
4103011323111233021230
5132444021241233004
62442423520531340
7163535301501351
oct23057325571154
94572527038126
101312034321004
11466481195730
12192345780b50
13969553b7944
144770797c628
15241e06c4dd9
hex1317b56f26c

1312034321004 has 96 divisors (see below), whose sum is σ = 3372809207040. Its totient is φ = 393666508800.

The previous prime is 1312034320867. The next prime is 1312034321009. The reversal of 1312034321004 is 4001234302131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1312034321009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5386164 + ... + 5624484.

It is an arithmetic number, because the mean of its divisors is an integer number (35133429240).

Almost surely, 21312034321004 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 1312034321004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686404603520).

1312034321004 is an abundant number, since it is smaller than the sum of its proper divisors (2060774886036).

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

1312034321004 is a wasteful number, since it uses less digits than its factorization.

1312034321004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238751 (or 238749 counting only the distinct ones).

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

Adding to 1312034321004 its reverse (4001234302131), we get a palindrome (5313268623135).

The spelling of 1312034321004 in words is "one trillion, three hundred twelve billion, thirty-four million, three hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 233 358 466 537 699 716 932 1074 1398 1969 2148 2563 2796 3938 5126 5907 7689 7876 10252 11814 15378 23628 30756 41707 83414 125121 166828 238321 250242 458777 476642 500484 714963 917554 953284 1376331 1429926 1835108 2621531 2752662 2859852 5243062 5505324 7864593 10486124 15729186 31458372 42659459 55528793 85318918 111057586 127978377 166586379 170637836 222115172 255956754 333172758 469254049 511913508 610816723 666345516 938508098 1221633446 1407762147 1832450169 1877016196 2443266892 2815524294 3664900338 5631048588 7329800676 9939653947 19879307894 29818961841 39758615788 59637923682 109336193417 119275847364 218672386834 328008580251 437344773668 656017160502 1312034321004