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10203010442304 = 2631131672815997
BaseRepresentation
bin1001010001111001001011…
…0100000010010001000000
31100010101202100012020210220
42110132102310002101000
52314131231133123204
633411110455223040
72102100052545111
oct224362264022100
940111670166726
1010203010442304
113284088448069
1211894b3677a80
135901a8076bb4
14273b84d74208
1512a60c8201d9
hex94792d02440

10203010442304 has 112 divisors (see below), whose sum is σ = 27397452797568. Its totient is φ = 3350719848448.

The previous prime is 10203010442299. The next prime is 10203010442407. The reversal of 10203010442304 is 40324401030201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2215234 + ... + 5031230.

It is an arithmetic number, because the mean of its divisors is an integer number (244620114264).

Almost surely, 210203010442304 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 10203010442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698726398784).

10203010442304 is an abundant number, since it is smaller than the sum of its proper divisors (17194442355264).

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

10203010442304 is a wasteful number, since it uses less digits than its factorization.

10203010442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816292 (or 2816282 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10203010442304 its reverse (40324401030201), we get a palindrome (50527411472505).

The spelling of 10203010442304 in words is "ten trillion, two hundred three billion, ten million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 167 192 226 334 339 452 501 668 678 904 1002 1336 1356 1808 2004 2672 2712 3616 4008 5344 5424 7232 8016 10688 10848 16032 18871 21696 32064 37742 56613 75484 113226 150968 226452 301936 452904 603872 905808 1207744 1811616 2815997 3623232 5631994 8447991 11263988 16895982 22527976 33791964 45055952 67583928 90111904 135167856 180223808 270335712 318207661 470271499 540671424 636415322 940542998 954622983 1272830644 1410814497 1881085996 1909245966 2545661288 2821628994 3762171992 3818491932 5091322576 5643257988 7524343984 7636983864 10182645152 11286515976 15048687968 15273967728 20365290304 22573031952 30097375936 30547935456 45146063904 53140679387 61095870912 90292127808 106281358774 159422038161 212562717548 318844076322 425125435096 637688152644 850250870192 1275376305288 1700501740384 2550752610576 3401003480768 5101505221152 10203010442304