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1312345022244 = 22323127157238471
BaseRepresentation
bin10011000110001101110…
…110111101111100100100
311122110101120200120010020
4103012031312331330210
5133000140311202434
62442514420155140
7163546063431024
oct23061566757444
94573346616106
101312345022244
11466620609113
12192411838ab0
13969a4891529
1447736d39a84
152420cae9849
hex1318ddbdf24

1312345022244 has 96 divisors (see below), whose sum is σ = 3240960393216. Its totient is φ = 412488236160.

The previous prime is 1312345022231. The next prime is 1312345022269. The reversal of 1312345022244 is 4422205432131.

It is a happy number.

It is an unprimeable number.

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, 5383929 + ... + 5622399.

It is an arithmetic number, because the mean of its divisors is an integer number (33760004096).

Almost surely, 21312345022244 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 1312345022244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620480196608).

1312345022244 is an abundant number, since it is smaller than the sum of its proper divisors (1928615370972).

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

1312345022244 is a wasteful number, since it uses less digits than its factorization.

1312345022244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238785 (or 238783 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 1312345022244 in words is "one trillion, three hundred twelve billion, three hundred forty-five million, twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 127 138 157 254 276 314 381 471 508 628 762 942 1524 1884 2921 3611 5842 7222 8763 10833 11684 14444 17526 19939 21666 35052 39878 43332 59817 79756 119634 238471 239268 458597 476942 715413 917194 953884 1375791 1430826 1834388 2751582 2861652 5484833 5503164 10969666 16454499 21939332 30285817 32908998 37439947 60571634 65817996 74879894 90857451 112319841 121143268 149759788 181714902 224639682 363429804 449279364 696573791 861118781 1393147582 1722237562 2089721373 2583356343 2786295164 3444475124 4179442746 4754873269 5166712686 8358885492 9509746538 10333425372 14264619807 19019493076 28529239614 57058479228 109362085187 218724170374 328086255561 437448340748 656172511122 1312345022244