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1203310314444 = 223723597277841
BaseRepresentation
bin10001100000101010111…
…000100100001111001100
311021000221202122111201010
4101200222320210033030
5124203334420030234
62320443152045220
7152636102624400
oct21405270441714
94230852574633
101203310314444
11424359336357
12175262233810
138961936ba54
144235202b100
152147a6296e9
hex1182ae243cc

1203310314444 has 144 divisors (see below), whose sum is σ = 3280149250560. Its totient is φ = 342330024960.

The previous prime is 1203310314439. The next prime is 1203310314511. The reversal of 1203310314444 is 4444130133021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153459964 + ... + 153467804.

It is an arithmetic number, because the mean of its divisors is an integer number (22778814240).

Almost surely, 21203310314444 is an apocalyptic number.

1203310314444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203310314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640074625280).

1203310314444 is an abundant number, since it is smaller than the sum of its proper divisors (2076838936116).

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

1203310314444 is a wasteful number, since it uses less digits than its factorization.

1203310314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1203310314444 its reverse (4444130133021), we get a palindrome (5647440447465).

The spelling of 1203310314444 in words is "one trillion, two hundred three billion, three hundred ten million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 359 588 718 727 1077 1436 1454 2154 2181 2513 2908 4308 4362 5026 5089 7539 7841 8724 10052 10178 15078 15267 15682 17591 20356 23523 30156 30534 31364 35182 35623 47046 52773 54887 61068 70364 71246 94092 105546 106869 109774 142492 164661 211092 213738 219548 260993 329322 384209 427476 521986 658644 768418 782979 1043972 1152627 1536836 1565958 1826951 2305254 2814919 3131916 3653902 4610508 5480853 5629838 5700407 7307804 8444757 10961706 11259676 11400814 12788657 16889514 17101221 19704433 21923412 22801628 25577314 33779028 34202442 38365971 39408866 39902849 51154628 59113299 68404884 76731942 78817732 79805698 118226598 119708547 137931031 153463884 159611396 236453196 239417094 275862062 279319943 413793093 478834188 551724124 558639886 827586186 837959829 1117279772 1655172372 1675919658 2046446113 3351839316 4092892226 6139338339 8185784452 12278676678 14325122791 24557353356 28650245582 42975368373 57300491164 85950736746 100275859537 171901473492 200551719074 300827578611 401103438148 601655157222 1203310314444