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11120233032320 = 275157223496283
BaseRepresentation
bin1010000111010010000110…
…0010100010101010000000
31110101002021011022120001112
42201310201202202222000
52424143214124013240
635352321534422452
72225260512121256
oct241644142425200
943332234276045
1011120233032320
1135a8078708725
1212b7213661a28
1362883098c969
142a631781c5d6
151443e1d41665
hexa1d218a2a80

11120233032320 has 128 divisors (see below), whose sum is σ = 26873659491840. Its totient is φ = 4399932985344.

The previous prime is 11120233032281. The next prime is 11120233032347. The reversal of 11120233032320 is 2323033202111.

It is a tau number, because it is divible by the number of its divisors (128).

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, 22158899 + ... + 22655181.

It is an arithmetic number, because the mean of its divisors is an integer number (209950464780).

Almost surely, 211120233032320 is an apocalyptic number.

11120233032320 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 11120233032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436829745920).

11120233032320 is an abundant number, since it is smaller than the sum of its proper divisors (15753426459520).

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

11120233032320 is a wasteful number, since it uses less digits than its factorization.

11120233032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496682 (or 496670 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 11120233032320 its reverse (2323033202111), we get a palindrome (13443266234431).

The spelling of 11120233032320 in words is "eleven trillion, one hundred twenty billion, two hundred thirty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 223 314 320 446 628 640 785 892 1115 1256 1570 1784 2230 2512 3140 3568 4460 5024 6280 7136 8920 10048 12560 14272 17840 20096 25120 28544 35011 35680 50240 70022 71360 100480 140044 142720 175055 280088 350110 496283 560176 700220 992566 1120352 1400440 1985132 2240704 2481415 2800880 3970264 4481408 4962830 5601760 7940528 9925660 11203520 15881056 19851320 22407040 31762112 39702640 63524224 77916431 79405280 110671109 155832862 158810560 221342218 311665724 317621120 389582155 442684436 553355545 623331448 779164310 885368872 1106711090 1246662896 1558328620 1770737744 2213422180 2493325792 3116657240 3541475488 4426844360 4986651584 6233314480 7082950976 8853688720 9973303168 12466628960 14165901952 17375364113 17707377440 24933257920 34750728226 35414754880 49866515840 69501456452 70829509760 86876820565 139002912904 173753641130 278005825808 347507282260 556011651616 695014564520 1112023303232 1390029129040 2224046606464 2780058258080 5560116516160 11120233032320