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102330101200 = 24521925752391
BaseRepresentation
bin101111101001101011…
…0010110110111010000
3100210010120010202012011
41133103112112313100
53134033001214300
6115002041112304
710251556336315
oct1372326266720
9323116122164
10102330101200
113a441746678
12179ba188694
13985a493952
144d4a6c6d0c
1529ddaa4eba
hex17d3596dd0

102330101200 has 120 divisors (see below), whose sum is σ = 259799353920. Its totient is φ = 38626099200.

The previous prime is 102330101183. The next prime is 102330101311. The reversal of 102330101200 is 2101033201.

It is a super-2 number, since 2×1023301012002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1927005 + ... + 1979395.

It is an arithmetic number, because the mean of its divisors is an integer number (2164994616).

Almost surely, 2102330101200 is an apocalyptic number.

102330101200 is a gapful number since it is divisible by the number (10) 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 102330101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129899676960).

102330101200 is an abundant number, since it is smaller than the sum of its proper divisors (157469252720).

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

102330101200 is a wasteful number, since it uses less digits than its factorization.

102330101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52685 (or 52674 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102330101200 its reverse (2101033201), we get a palindrome (104431134401).

The spelling of 102330101200 in words is "one hundred two billion, three hundred thirty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 257 304 380 400 475 514 760 950 1028 1285 1520 1900 2056 2570 3800 4112 4883 5140 6425 7600 9766 10280 12850 19532 20560 24415 25700 39064 48830 51400 52391 78128 97660 102800 104782 122075 195320 209564 244150 261955 390640 419128 488300 523910 838256 976600 995429 1047820 1309775 1953200 1990858 2095640 2619550 3981716 4191280 4977145 5239100 7963432 9954290 10478200 13464487 15926864 19908580 20956400 24885725 26928974 39817160 49771450 53857948 67322435 79634320 99542900 107715896 134644870 199085800 215431792 255825253 269289740 336612175 398171600 511650506 538579480 673224350 1023301012 1077158960 1279126265 1346448700 2046602024 2558252530 2692897400 4093204048 5116505060 5385794800 6395631325 10233010120 12791262650 20466020240 25582525300 51165050600 102330101200