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102102012001200 = 24352835791018019
BaseRepresentation
bin10111001101110001111010…
…001001111111101110110000
3111101111212010202201222021110
4113031301322021333232300
5101340314410033014300
61001053003342553320
730335425016303451
oct2715617211775660
9441455122658243
10102102012001200
112a595246a87372
12b550079298840
1344c8241ca67b3
141b2da99a23128
15bc0d9346a550
hex5cdc7a27fbb0

102102012001200 has 120 divisors (see below), whose sum is σ = 327071012990400. Its totient is φ = 27226850689280.

The previous prime is 102102012001193. The next prime is 102102012001279. The reversal of 102102012001200 is 2100210201201.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99785791 + ... + 100803809.

It is an arithmetic number, because the mean of its divisors is an integer number (2725591774920).

Almost surely, 2102102012001200 is an apocalyptic number.

102102012001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102012001200 is an abundant number, since it is smaller than the sum of its proper divisors (224969000989200).

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

102102012001200 is a wasteful number, since it uses less digits than its factorization.

102102012001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101619 (or 1101608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102012001200 its reverse (2100210201201), we get a palindrome (104202222202401).

The spelling of 102102012001200 in words is "one hundred two trillion, one hundred two billion, twelve million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 83579 167158 250737 334316 417895 501474 668632 835790 1002948 1018019 1253685 1337264 1671580 2005896 2036038 2089475 2507370 3054057 3343160 4011792 4072076 4178950 5014740 5090095 6108114 6268425 6686320 8144152 8357900 10029480 10180190 12216228 12536850 15270285 16288304 16715800 20058960 20360380 24432456 25073700 25450475 30540570 33431600 40720760 48864912 50147400 50900950 61081140 76351425 81441520 100294800 101801900 122162280 152702850 203603800 244324560 305405700 407207600 610811400 1221622800 85085010001 170170020002 255255030003 340340040004 425425050005 510510060006 680680080008 850850100010 1021020120012 1276275150015 1361360160016 1701700200020 2042040240024 2127125250025 2552550300030 3403400400040 4084080480048 4254250500050 5105100600060 6381375750075 6806800800080 8508501000100 10210201200120 12762751500150 17017002000200 20420402400240 25525503000300 34034004000400 51051006000600 102102012001200