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1132311333120 = 28351126806613
BaseRepresentation
bin10000011110100011000…
…000111100100100000000
311000020200201112120002020
4100132203000330210000
5122022433200124440
62224102053321440
7144543505345632
oct20364300744400
94006621476066
101132311333120
113a7235256890
12163548936280
1382a12c82ab6
143cb38890a52
151e6c24893d0
hex107a303c900

1132311333120 has 144 divisors (see below), whose sum is σ = 3945075769152. Its totient is φ = 274499706880.

The previous prime is 1132311333113. The next prime is 1132311333133. The reversal of 1132311333120 is 213331132311.

It is a super-2 number, since 2×11323113331202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 13361067 + ... + 13445546.

It is an arithmetic number, because the mean of its divisors is an integer number (27396359508).

Almost surely, 21132311333120 is an apocalyptic number.

1132311333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132311333120 is an abundant number, since it is smaller than the sum of its proper divisors (2812764436032).

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

1132311333120 is a wasteful number, since it uses less digits than its factorization.

1132311333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26806648 (or 26806634 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1132311333120 its reverse (213331132311), we get a palindrome (1345642465431).

The spelling of 1132311333120 in words is "one trillion, one hundred thirty-two billion, three hundred eleven million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 26806613 53613226 80419839 107226452 134033065 160839678 214452904 268066130 294872743 321679356 402099195 428905808 536132260 589745486 643358712 804198390 857811616 884618229 1072264520 1179490972 1286717424 1474363715 1608396780 1715623232 1769236458 2144529040 2358981944 2573434848 2948727430 3216793560 3431246464 3538472916 4289058080 4423091145 4717963888 5146869696 5897454860 6433587120 6862492928 7076945832 8578116160 8846182290 9435927776 10293739392 11794909720 12867174240 14153891664 17156232320 17692364580 18871855552 20587478784 23589819440 25734348480 28307783328 34312464640 35384729160 37743711104 47179638880 51468696960 56615566656 70769458320 75487422208 94359277760 102937393920 113231133312 141538916640 188718555520 226462266624 283077833280 377437111040 566155666560 1132311333120