Search a number
-
+
5320101120 = 283512710909
BaseRepresentation
bin1001111010001101…
…00100110100000000
3111201202201010202020
410331012210310000
541343421213440
62235524121440
7245560053615
oct47506446400
914652633666
105320101120
112290070794
121045836280
1366a276b39
143867c850c
152120d63d0
hex13d1a4d00

5320101120 has 144 divisors (see below), whose sum is σ = 17126430720. Its totient is φ = 1407393792.

The previous prime is 5320101079. The next prime is 5320101139. The reversal of 5320101120 is 211010235.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5320101120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482226 + ... + 493134.

Almost surely, 25320101120 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 5320101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563215360).

5320101120 is an abundant number, since it is smaller than the sum of its proper divisors (11806329600).

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

5320101120 is a wasteful number, since it uses less digits than its factorization.

5320101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 11046 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5320101120 is about 72939.0233002883. The cubic root of 5320101120 is about 1745.7148074661.

Adding to 5320101120 its reverse (211010235), we get a palindrome (5531111355).

The spelling of 5320101120 in words is "five billion, three hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 256 320 381 384 480 508 635 640 762 768 960 1016 1270 1280 1524 1905 1920 2032 2540 3048 3810 3840 4064 5080 6096 7620 8128 10160 10909 12192 15240 16256 20320 21818 24384 30480 32512 32727 40640 43636 48768 54545 60960 65454 81280 87272 97536 109090 121920 130908 162560 163635 174544 218180 243840 261816 327270 349088 436360 487680 523632 654540 698176 872720 1047264 1309080 1385443 1396352 1745440 2094528 2618160 2770886 2792704 3490880 4156329 4189056 5236320 5541772 6927215 6981760 8312658 8378112 10472640 11083544 13854430 13963520 16625316 20781645 20945280 22167088 27708860 33250632 41563290 41890560 44334176 55417720 66501264 83126580 88668352 110835440 133002528 166253160 177336704 221670880 266005056 332506320 354673408 443341760 532010112 665012640 886683520 1064020224 1330025280 1773367040 2660050560 5320101120