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1130003022320 = 245191847402503
BaseRepresentation
bin10000011100011001011…
…011011100000111110000
311000000201212001012221122
4100130121123130013300
5122003221233203240
62223041034241412
7144432346131554
oct20343133340760
94000655035848
101130003022320
113a6260279807
12163003886268
138273598ac13
143c99a09b864
151e5d99c54b5
hex107196dc1f0

1130003022320 has 80 divisors (see below), whose sum is σ = 2767037898240. Its totient is φ = 427978766592.

The previous prime is 1130003022319. The next prime is 1130003022367. The reversal of 1130003022320 is 232203000311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2606189 + ... + 3008691.

It is an arithmetic number, because the mean of its divisors is an integer number (34587973728).

Almost surely, 21130003022320 is an apocalyptic number.

1130003022320 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 1130003022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383518949120).

1130003022320 is an abundant number, since it is smaller than the sum of its proper divisors (1637034875920).

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

1130003022320 is a wasteful number, since it uses less digits than its factorization.

1130003022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404382 (or 404376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1130003022320 its reverse (232203000311), we get a palindrome (1362206022631).

The spelling of 1130003022320 in words is "one trillion, one hundred thirty billion, three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1847 3694 7388 9235 14776 18470 29552 35093 36940 70186 73880 140372 147760 175465 280744 350930 402503 561488 701860 805006 1403720 1610012 2012515 2807440 3220024 4025030 6440048 7647557 8050060 15295114 16100120 30590228 32200240 38237785 61180456 76475570 122360912 152951140 305902280 611804560 743423041 1486846082 2973692164 3717115205 5947384328 7434230410 11894768656 14125037779 14868460820 28250075558 29736921640 56500151116 59473843280 70625188895 113000302232 141250377790 226000604464 282500755580 565001511160 1130003022320