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102022110000 = 2432541133579
BaseRepresentation
bin101111100000011111…
…1011101101100110000
3100202100002121011200200
41133000333131230300
53132420130010000
6114511315515200
710241126424636
oct1370077355460
9322302534620
10102022110000
113a2a3904298
1217932bb8b00
13980b728735
144d1b833356
1529c1a18500
hex17c0fddb30

102022110000 has 150 divisors (see below), whose sum is σ = 356786369940. Its totient is φ = 27205872000.

The previous prime is 102022109993. The next prime is 102022110011. The reversal of 102022110000 is 11220201.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 476790 + ... + 656789.

Almost surely, 2102022110000 is an apocalyptic number.

102022110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022110000 is an abundant number, since it is smaller than the sum of its proper divisors (254764259940).

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

102022110000 is a wasteful number, since it uses less digits than its factorization.

102022110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133613 (or 1133589 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102022110000 its reverse (11220201), we get a palindrome (102033330201).

The spelling of 102022110000 in words is "one hundred two billion, twenty-two million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1133579 2267158 3400737 4534316 5667895 6801474 9068632 10202211 11335790 13602948 17003685 18137264 20404422 22671580 27205896 28339475 34007370 40808844 45343160 51011055 54411792 56678950 68014740 81617688 85018425 90686320 102022110 113357900 136029480 141697375 163235376 170036850 204044220 226715800 255055275 272058960 283394750 340073700 408088440 425092125 453431600 510110550 566789500 680147400 708486875 816176880 850184250 1020221100 1133579000 1275276375 1360294800 1416973750 1700368500 2040442200 2125460625 2267158000 2550552750 2833947500 3400737000 4080884400 4250921250 5101105500 5667895000 6376381875 6801474000 8501842500 10202211000 11335790000 12752763750 17003685000 20404422000 25505527500 34007370000 51011055000 102022110000