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1132120322320 = 2451310310798773
BaseRepresentation
bin10000011110010111101…
…000010011000100010000
311000020012102010012112011
4100132113220103010100
5122022040300303240
62224031111312304
7144535665651061
oct20362750230420
94006172105464
101132120322320
113a7147453619
121634b497b694
13829b2525260
143cb1b36c568
151e6b08086ea
hex10797a13110

1132120322320 has 160 divisors (see below), whose sum is σ = 2888954595072. Its totient is φ = 410082379776.

The previous prime is 1132120322317. The next prime is 1132120322323. The reversal of 1132120322320 is 232230212311.

It is an interprime number because it is at equal distance from previous prime (1132120322317) and next prime (1132120322323).

It is a junction number, because it is equal to n+sod(n) for n = 1132120322291 and 1132120322300.

It is not an unprimeable number, because it can be changed into a prime (1132120322323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11412454 + ... + 11511226.

Almost surely, 21132120322320 is an apocalyptic number.

1132120322320 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 1132120322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444477297536).

1132120322320 is an abundant number, since it is smaller than the sum of its proper divisors (1756834272752).

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

1132120322320 is a wasteful number, since it uses less digits than its factorization.

1132120322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99009 (or 99003 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1132120322320 its reverse (232230212311), we get a palindrome (1364350534631).

The spelling of 1132120322320 in words is "one trillion, one hundred thirty-two billion, one hundred twenty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 107 130 206 208 214 260 412 428 515 520 535 824 856 1030 1040 1070 1339 1391 1648 1712 2060 2140 2678 2782 4120 4280 5356 5564 6695 6955 8240 8560 10712 11021 11128 13390 13910 21424 22042 22256 26780 27820 44084 53560 55105 55640 88168 98773 107120 110210 111280 143273 176336 197546 220420 286546 395092 440840 493865 573092 716365 790184 881680 987730 1146184 1284049 1432730 1580368 1975460 2292368 2568098 2865460 3950920 5136196 5730920 6420245 7901840 10173619 10272392 10568711 11461840 12840490 20347238 20544784 21137422 25680980 40694476 42274844 50868095 51361960 52843555 81388952 84549688 101736190 102723920 105687110 132257047 137393243 162777904 169099376 203472380 211374220 264514094 274786486 406944760 422748440 529028188 549572972 661285235 686966215 813889520 845496880 1058056376 1088577233 1099145944 1322570470 1373932430 2116112752 2177154466 2198291888 2645140940 2747864860 4354308932 5290281880 5442886165 5495729720 8708617864 10580563760 10885772330 10991459440 14151504029 17417235728 21771544660 28303008058 43543089320 56606016116 70757520145 87086178640 113212032232 141515040290 226424064464 283030080580 566060161160 1132120322320