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1032003022220 = 2254114928130059
BaseRepresentation
bin11110000010010000010…
…11000110110110001100
310122122210001202101210022
433001020023012312030
5113402020233202340
62110032354201312
7134362665644552
oct17011013066614
93578701671708
101032003022220
11368740890195
12148013883238
1376418625791
1437d408d5bd2
151bca114d3b5
hexf0482c6d8c

1032003022220 has 96 divisors (see below), whose sum is σ = 2242993032000. Its totient is φ = 398593126400.

The previous prime is 1032003022213. The next prime is 1032003022331. The reversal of 1032003022220 is 222203002301.

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 31 ways as a sum of consecutive naturals, for example, 34317551 + ... + 34347609.

It is an arithmetic number, because the mean of its divisors is an integer number (23364510750).

Almost surely, 21032003022220 is an apocalyptic number.

1032003022220 is a gapful number since it is divisible by the number (10) 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 1032003022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121496516000).

1032003022220 is an abundant number, since it is smaller than the sum of its proper divisors (1210990009780).

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

1032003022220 is a wasteful number, since it uses less digits than its factorization.

1032003022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30539 (or 30537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 1032003022220 its reverse (222203002301), we get a palindrome (1254206024521).

The spelling of 1032003022220 in words is "one trillion, thirty-two billion, three million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 149 164 205 281 298 410 562 596 745 820 1124 1405 1490 2810 2980 5620 6109 11521 12218 23042 24436 30059 30545 41869 46084 57605 60118 61090 83738 115210 120236 122180 150295 167476 209345 230420 300590 418690 601180 837380 1232419 1716629 2464838 3433258 4478791 4929676 6162095 6866516 8446579 8583145 8957582 12324190 16893158 17166290 17915164 22393955 24648380 33786316 34332580 42232895 44787910 84465790 89575820 168931580 183630431 346309739 367260862 692619478 734521724 918152155 1258540271 1385238956 1731548695 1836304310 2517080542 3463097390 3672608620 5034161084 6292701355 6926194780 12585402710 25170805420 51600151111 103200302222 206400604444 258000755555 516001511110 1032003022220