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2132034555120 = 243517808964601
BaseRepresentation
bin11111000001100111001…
…010011000110011110000
321112211011011011012112020
4133001213022120303300
5234412401321230440
64311235415431440
7310014542464011
oct37014712306360
97484134135466
102132034555120
11752210a19328
122a5252085580
13126085ac1672
147529624b008
153a6d477c3d0
hex1f067298cf0

2132034555120 has 160 divisors (see below), whose sum is σ = 6999063370560. Its totient is φ = 535024435200.

The previous prime is 2132034555113. The next prime is 2132034555127. The reversal of 2132034555120 is 215554302312.

It is an interprime number because it is at equal distance from previous prime (2132034555113) and next prime (2132034555127).

It is a super-3 number, since 3×21320345551203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132034555127) 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, 32970820 + ... + 33035420.

It is an arithmetic number, because the mean of its divisors is an integer number (43744146066).

Almost surely, 22132034555120 is an apocalyptic number.

2132034555120 is a gapful number since it is divisible by the number (20) 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 2132034555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499531685280).

2132034555120 is an abundant number, since it is smaller than the sum of its proper divisors (4867028815440).

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

2132034555120 is a wasteful number, since it uses less digits than its factorization.

2132034555120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72723 (or 72717 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 2132034555120 its reverse (215554302312), we get a palindrome (2347588857432).

The spelling of 2132034555120 in words is "two trillion, one hundred thirty-two billion, thirty-four million, five hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 8089 16178 24267 32356 40445 48534 64601 64712 80890 97068 121335 129202 129424 137513 161780 193803 194136 242670 258404 275026 323005 323560 387606 388272 412539 485340 516808 550052 646010 647120 687565 775212 825078 969015 970680 1033616 1098217 1100104 1292020 1375130 1550424 1650156 1938030 1941360 2062695 2196434 2200208 2584040 2750260 3100848 3294651 3300312 3876060 4125390 4392868 5168080 5491085 5500520 6589302 6600624 7752120 8250780 8785736 10982170 11001040 13178604 15504240 16473255 16501560 17571472 21964340 26357208 32946510 33003120 43928680 52714416 65893020 87857360 131786040 263572080 522557489 1045114978 1567672467 2090229956 2612787445 3135344934 4180459912 5225574890 6270689868 7838362335 8360919824 8883477313 10451149780 12541379736 15676724670 17766954626 20902299560 25082759472 26650431939 31353449340 35533909252 41804599120 44417386565 53300863878 62706898680 71067818504 88834773130 106601727756 125413797360 133252159695 142135637008 177669546260 213203455512 266504319390 355339092520 426406911024 533008638780 710678185040 1066017277560 2132034555120