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1132121312020 = 2252389131211093
BaseRepresentation
bin10000011110010111101…
…100000100101100010100
311000020012110222111010201
4100132113230010230110
5122022041023441040
62224031144430244
7144536010242356
oct20362754045424
94006173874121
101132121312020
113a7147a6a156
121634b5178384
13829b27b088a
143cb1b5490d6
151e6b0951a9a
hex10797b04b14

1132121312020 has 96 divisors (see below), whose sum is σ = 2527859093760. Its totient is φ = 425021076480.

The previous prime is 1132121311991. The next prime is 1132121312029. The reversal of 1132121312020 is 202131212311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132121312029) 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, 5257594 + ... + 5468686.

It is an arithmetic number, because the mean of its divisors is an integer number (26331865560).

Almost surely, 21132121312020 is an apocalyptic number.

1132121312020 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 1132121312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263929546880).

1132121312020 is an abundant number, since it is smaller than the sum of its proper divisors (1395737781740).

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

1132121312020 is a wasteful number, since it uses less digits than its factorization.

1132121312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211345 (or 211343 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1132121312020 its reverse (202131212311), we get a palindrome (1334252524331).

The spelling of 1132121312020 in words is "one trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 131 178 230 262 356 445 460 524 655 890 1310 1780 2047 2620 3013 4094 6026 8188 10235 11659 12052 15065 20470 23318 30130 40940 46636 58295 60260 116590 211093 233180 268157 422186 536314 844372 1055465 1072628 1340785 2110930 2681570 4221860 4855139 5363140 9710278 18787277 19420556 24275695 27653183 37574554 48551390 55306366 75149108 93936385 97102780 110612732 138265915 187872770 276531830 375745540 432107371 553063660 636023209 864214742 1272046418 1728429484 2160536855 2461133287 2544092836 3180116045 4321073710 4922266574 6360232090 8642147420 9844533148 12305666435 12720464180 24611332870 49222665740 56606065601 113212131202 226424262404 283030328005 566060656010 1132121312020