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45303003020 = 225111931134849
BaseRepresentation
bin101010001100010001…
…001111011110001100
311022221020121000001202
4222030101033132030
51220240032044040
632451212325032
73162436113002
oct521421173614
9138836530052
1045303003020
1118238400770
128943a73778
13436c920a82
14229a9c4a72
1512a2342015
hexa8c44f78c

45303003020 has 96 divisors (see below), whose sum is σ = 109601856000. Its totient is φ = 15556147200.

The previous prime is 45303003017. The next prime is 45303003023. The reversal of 45303003020 is 2030030354.

It is an interprime number because it is at equal distance from previous prime (45303003017) and next prime (45303003023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45303002983 and 45303003001.

It is not an unprimeable number, because it can be changed into a prime (45303003023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1282556 + ... + 1317404.

It is an arithmetic number, because the mean of its divisors is an integer number (1141686000).

Almost surely, 245303003020 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 45303003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800928000).

45303003020 is an abundant number, since it is smaller than the sum of its proper divisors (64298852980).

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

45303003020 is a wasteful number, since it uses less digits than its factorization.

45303003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35199 (or 35197 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 45303003020 its reverse (2030030354), we get a palindrome (47333033374).

The spelling of 45303003020 in words is "forty-five billion, three hundred three million, three thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 311 380 418 622 836 1045 1244 1555 2090 3110 3421 4180 5909 6220 6842 11818 13684 17105 23636 29545 34210 34849 59090 64999 68420 69698 118180 129998 139396 174245 259996 324995 348490 383339 649990 662131 696980 766678 1299980 1324262 1533356 1916695 2648524 3310655 3833390 6621310 7283441 7666780 10838039 13242620 14566882 21676078 29133764 36417205 43352156 54190195 72834410 108380390 119218429 145668820 205922741 216760780 238436858 411845482 476873716 596092145 823690964 1029613705 1192184290 2059227410 2265150151 2384368580 4118454820 4530300302 9060600604 11325750755 22651501510 45303003020