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102110201200 = 24527193188953
BaseRepresentation
bin101111100011000111…
…1100000010101110000
3100202120020100200002201
41133012033200111300
53133110202414300
6114524143552544
710243246250410
oct1370617402560
9322506320081
10102110201200
113a339601537
12179585bb754
139823a5c8c7
144d29404640
1529c961966a
hex17c63e0570

102110201200 has 120 divisors (see below), whose sum is σ = 281819600288. Its totient is φ = 34827632640.

The previous prime is 102110201197. The next prime is 102110201201. The reversal of 102110201200 is 2102011201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110201201) 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, 445924 + ... + 634876.

Almost surely, 2102110201200 is an apocalyptic number.

102110201200 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 102110201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140909800144).

102110201200 is an abundant number, since it is smaller than the sum of its proper divisors (179709399088).

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

102110201200 is a wasteful number, since it uses less digits than its factorization.

102110201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189171 (or 189160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102110201200 its reverse (2102011201), we get a palindrome (104212212401).

The spelling of 102110201200 in words is "one hundred two billion, one hundred ten million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 193 200 280 350 386 400 560 700 772 965 1351 1400 1544 1930 2702 2800 3088 3860 4825 5404 6755 7720 9650 10808 13510 15440 19300 21616 27020 33775 38600 54040 67550 77200 108080 135100 188953 270200 377906 540400 755812 944765 1322671 1511624 1889530 2645342 3023248 3779060 4723825 5290684 6613355 7558120 9447650 10581368 13226710 15116240 18895300 21162736 26453420 33066775 36467929 37790600 52906840 66133550 72935858 75581200 105813680 132267100 145871716 182339645 255275503 264534200 291743432 364679290 510551006 529068400 583486864 729358580 911698225 1021102012 1276377515 1458717160 1823396450 2042204024 2552755030 2917434320 3646792900 4084408048 5105510060 6381887575 7293585800 10211020120 12763775150 14587171600 20422040240 25527550300 51055100600 102110201200