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102210222000 = 24353171002061
BaseRepresentation
bin101111100110000110…
…1000011011110110000
3100202211012120020211210
41133030031003132300
53133311304101000
6114542115440120
710245602360265
oct1371415033660
9322735506753
10102210222000
113a390007657
1217985bb6040
13983b6aca03
144d387dd26c
1529d32c5350
hex17cc3437b0

102210222000 has 160 divisors (see below), whose sum is σ = 348909971904. Its totient is φ = 25652736000.

The previous prime is 102210221999. The next prime is 102210222019. The reversal of 102210222000 is 222012201.

102210222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399031 + ... + 603030.

Almost surely, 2102210222000 is an apocalyptic number.

102210222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210222000 is an abundant number, since it is smaller than the sum of its proper divisors (246699749904).

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

102210222000 is a wasteful number, since it uses less digits than its factorization.

102210222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002104 (or 1002088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102210222000 its reverse (222012201), we get a palindrome (102432234201).

The spelling of 102210222000 in words is "one hundred two billion, two hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 1002061 2004122 3006183 4008244 5010305 6012366 8016488 10020610 12024732 15030915 16032976 17035037 20041220 24049464 25051525 30061830 34070074 40082440 48098928 50103050 51105111 60123660 68140148 75154575 80164880 85175185 100206100 102210222 120247320 125257625 136280296 150309150 170350370 200412200 204420444 240494640 250515250 255525555 272560592 300618300 340700740 375772875 400824400 408840888 425875925 501030500 511051110 601236600 681401480 751545750 817681776 851751850 1002061000 1022102220 1202473200 1277627775 1362802960 1503091500 1703503700 2004122000 2044204440 2129379625 2555255550 3006183000 3407007400 4088408880 4258759250 5110511100 6012366000 6388138875 6814014800 8517518500 10221022200 12776277750 17035037000 20442044400 25552555500 34070074000 51105111000 102210222000