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13223211011310 = 2357133591848193
BaseRepresentation
bin1100000001101100010011…
…0010111000110011101110
31201211010102022101202110110
43000123010302320303232
53213122114004330220
644042354223120450
72533226332033326
oct300330462706356
951733368352413
1013223211011310
114238a28984273
1215968b6743126
1374bc359a79c1
1433a014a42286
1517de756ecbe0
hexc06c4cb8cee

13223211011310 has 64 divisors (see below), whose sum is σ = 32192286658560. Its totient is φ = 3475488092160.

The previous prime is 13223211011281. The next prime is 13223211011323. The reversal of 13223211011310 is 1311011232231.

It is a super-2 number, since 2×132232110113102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6230574 + ... + 8078766.

It is an arithmetic number, because the mean of its divisors is an integer number (503004479040).

Almost surely, 213223211011310 is an apocalyptic number.

13223211011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223211011310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096143329280).

13223211011310 is an abundant number, since it is smaller than the sum of its proper divisors (18969075647250).

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

13223211011310 is a wasteful number, since it uses less digits than its factorization.

13223211011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851633.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13223211011310 its reverse (1311011232231), we get a palindrome (14534222243541).

The spelling of 13223211011310 in words is "thirteen trillion, two hundred twenty-three billion, two hundred eleven million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 2130 3359 6718 10077 16795 20154 33590 50385 100770 238489 476978 715467 1192445 1430934 1848193 2384890 3577335 3696386 5544579 7154670 9240965 11089158 18481930 27722895 55445790 131221703 262443406 393665109 656108515 787330218 1312217030 1968325545 3936651090 6208080287 12416160574 18624240861 31040401435 37248481722 62080802870 93121204305 186242408610 440773700377 881547400754 1322321101131 2203868501885 2644642202262 4407737003770 6611605505655 13223211011310