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2132312100320 = 255471597177553
BaseRepresentation
bin11111000001110111101…
…101001000110111100000
321112211212111101221222002
4133001313231020313200
5234413433344202240
64311323132303132
7310024452541463
oct37016755106740
97484774357862
102132312100320
11752343656126
122a530b011aa8
131260cb4598ac
14752c10572da
153a6edd02d15
hex1f077b48de0

2132312100320 has 96 divisors (see below), whose sum is σ = 5148020562048. Its totient is φ = 834250088448.

The previous prime is 2132312100263. The next prime is 2132312100329. The reversal of 2132312100320 is 230012132312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2132312100292 and 2132312100301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132312100329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11920664 + ... + 12098216.

It is an arithmetic number, because the mean of its divisors is an integer number (53625214188).

Almost surely, 22132312100320 is an apocalyptic number.

2132312100320 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 2132312100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574010281024).

2132312100320 is an abundant number, since it is smaller than the sum of its proper divisors (3015708461728).

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

2132312100320 is a wasteful number, since it uses less digits than its factorization.

2132312100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179212 (or 179204 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2132312100320 its reverse (230012132312), we get a palindrome (2362324232632).

The spelling of 2132312100320 in words is "two trillion, one hundred thirty-two billion, three hundred twelve million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1597 1880 3194 3760 6388 7520 7985 12776 15970 25552 31940 51104 63880 75059 127760 150118 177553 255520 300236 355106 375295 600472 710212 750590 887765 1200944 1420424 1501180 1775530 2401888 2840848 3002360 3551060 5681696 6004720 7102120 8344991 12009440 14204240 16689982 28408480 33379964 41724955 66759928 83449910 133519856 166899820 267039712 283552141 333799640 567104282 667599280 1134208564 1335198560 1417760705 2268417128 2835521410 4536834256 5671042820 9073668512 11342085640 13326950627 22684171280 26653901254 45368342560 53307802508 66634753135 106615605016 133269506270 213231210032 266539012540 426462420064 533078025080 1066156050160 2132312100320