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1003220003120 = 245175711291877
BaseRepresentation
bin11101001100101001001…
…00100110100100110000
310112220111010102112100212
432212110210212210300
5112414043310044440
62044512314203252
7132323504220146
oct16462444464460
93486433375325
101003220003120
113575105a09a5
12142520423528
13737ac41c02a
14367add5b596
151b1692b6465
hexe994926930

1003220003120 has 80 divisors (see below), whose sum is σ = 2474018715168. Its totient is φ = 377021091840.

The previous prime is 1003220003111. The next prime is 1003220003141. The reversal of 1003220003120 is 213000223001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1003220003095 and 1003220003104.

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 15 ways as a sum of consecutive naturals, for example, 130622 + ... + 1422498.

Almost surely, 21003220003120 is an apocalyptic number.

1003220003120 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 1003220003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237009357584).

1003220003120 is an abundant number, since it is smaller than the sum of its proper divisors (1470798712048).

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

1003220003120 is a wasteful number, since it uses less digits than its factorization.

1003220003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292478 (or 1292472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1003220003120 its reverse (213000223001), we get a palindrome (1216220226121).

The spelling of 1003220003120 in words is "one trillion, three billion, two hundred twenty million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 571 680 1142 1360 2284 2855 4568 5710 9136 9707 11420 19414 22840 38828 45680 48535 77656 97070 155312 194140 388280 776560 1291877 2583754 5167508 6459385 10335016 12918770 20670032 21961909 25837540 43923818 51675080 87847636 103350160 109809545 175695272 219619090 351390544 439238180 737661767 878476360 1475323534 1756952720 2950647068 3688308835 5901294136 7376617670 11802588272 12540250039 14753235340 25080500078 29506470680 50161000156 59012941360 62701250195 100322000312 125402500390 200644000624 250805000780 501610001560 1003220003120