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101210201000200 = 235213117412218831
BaseRepresentation
bin10111000000110011010110…
…000101000000100100001000
3111021100121012221000010211101
4113000303112011000210020
5101231211442424001300
6555131154030111144
730214124063001535
oct2700632605004410
9437317187003741
10101210201000200
112a281006a13746
12b42726b64b4b4
134462108c65736
141adc858061d8c
15ba7a99d1db6a
hex5c0cd6140908

101210201000200 has 96 divisors (see below), whose sum is σ = 237246304014720. Its totient is φ = 40151947680000.

The previous prime is 101210201000173. The next prime is 101210201000269. The reversal of 101210201000200 is 2000102012101.

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

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, 44504785 + ... + 46723615.

It is an arithmetic number, because the mean of its divisors is an integer number (2471315666820).

Almost surely, 2101210201000200 is an apocalyptic number.

101210201000200 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 101210201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118623152007360).

101210201000200 is an abundant number, since it is smaller than the sum of its proper divisors (136036103014520).

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

101210201000200 is a wasteful number, since it uses less digits than its factorization.

101210201000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220719 (or 2220710 counting only the distinct ones).

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

Adding to 101210201000200 its reverse (2000102012101), we get a palindrome (103210303012301).

The spelling of 101210201000200 in words is "one hundred one trillion, two hundred ten billion, two hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1310 1741 2620 3275 3482 5240 6550 6964 8705 13100 13928 17410 26200 34820 43525 69640 87050 174100 228071 348200 456142 912284 1140355 1824568 2218831 2280710 4437662 4561420 5701775 8875324 9122840 11094155 11403550 17750648 22188310 22807100 44376620 45614200 55470775 88753240 110941550 221883100 290666861 443766200 581333722 1162667444 1453334305 2325334888 2906668610 3862984771 5813337220 7266671525 7725969542 11626674440 14533343050 15451939084 19314923855 29066686100 30903878168 38629847710 58133372200 77259695420 96574619275 154519390840 193149238550 386298477100 506051005001 772596954200 1012102010002 2024204020004 2530255025005 4048408040008 5060510050010 10121020100020 12651275125025 20242040200040 25302550250050 50605100500100 101210201000200