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102032101200 = 24352581314627
BaseRepresentation
bin101111100000110010…
…1100100111101010000
3100202100210101210001010
41133001211210331100
53132430204214300
6114512314010520
710241310356541
oct1370145447520
9322323353033
10102032101200
113a2a9508887
1217936416a40
1398108162a3
144d1ccb44c8
1529c283da50
hex17c1964f50

102032101200 has 120 divisors (see below), whose sum is σ = 326921406048. Its totient is φ = 27202019840.

The previous prime is 102032101189. The next prime is 102032101201. The reversal of 102032101200 is 2101230201.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6968287 + ... + 6982913.

Almost surely, 2102032101200 is an apocalyptic number.

102032101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032101200 is an abundant number, since it is smaller than the sum of its proper divisors (224889304848).

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

102032101200 is a wasteful number, since it uses less digits than its factorization.

102032101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20461 (or 20450 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102032101200 its reverse (2101230201), we get a palindrome (104133331401).

The spelling of 102032101200 in words is "one hundred two billion, thirty-two million, one hundred 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 5813 11626 14627 17439 23252 29065 29254 34878 43881 46504 58130 58508 69756 73135 87195 87762 93008 116260 117016 139512 145325 146270 174390 175524 219405 232520 234032 279024 290650 292540 348780 351048 365675 435975 438810 465040 581300 585080 697560 702096 731350 871950 877620 1097025 1162600 1170160 1395120 1462700 1743900 1755240 2194050 2325200 2925400 3487800 3510480 4388100 5850800 6975600 8776200 17552400 85026751 170053502 255080253 340107004 425133755 510160506 680214008 850267510 1020321012 1275401265 1360428016 1700535020 2040642024 2125668775 2550802530 3401070040 4081284048 4251337550 5101605060 6377006325 6802140080 8502675100 10203210120 12754012650 17005350200 20406420240 25508025300 34010700400 51016050600 102032101200