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100020201100120 = 2357319936633679
BaseRepresentation
bin10110101111011111000100…
…100011101001001101011000
3111010010211121210020202001001
4112233133010203221031120
5101102212332440200440
6552420351314234344
730032135552515000
oct2657370443511530
9433124553222031
10100020201100120
1129962368aaa744
12b274702b859b4
1343a6b313a1822
141a9b009ac5000
15b86b4d010b9a
hex5af7c48e9358

100020201100120 has 128 divisors (see below), whose sum is σ = 263762496000000. Its totient is φ = 34120314619776.

The previous prime is 100020201100103. The next prime is 100020201100163. The reversal of 100020201100120 is 21001102020001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100020201100097 and 100020201100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15586560 + ... + 21047119.

It is an arithmetic number, because the mean of its divisors is an integer number (2060644500000).

Almost surely, 2100020201100120 is an apocalyptic number.

100020201100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020201100120 is an abundant number, since it is smaller than the sum of its proper divisors (163742294899880).

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

100020201100120 is a wasteful number, since it uses less digits than its factorization.

100020201100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36633910 (or 36633892 counting only the distinct ones).

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

Adding to 100020201100120 its reverse (21001102020001), we get a palindrome (121021303120121).

The spelling of 100020201100120 in words is "one hundred trillion, twenty billion, two hundred one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 199 245 280 343 392 398 490 686 796 980 995 1372 1393 1592 1715 1960 1990 2744 2786 3430 3980 5572 6860 6965 7960 9751 11144 13720 13930 19502 27860 39004 48755 55720 68257 78008 97510 136514 195020 273028 341285 390040 546056 682570 1365140 2730280 36633679 73267358 146534716 183168395 256435753 293069432 366336790 512871506 732673580 1025743012 1282178765 1465347160 1795050271 2051486024 2564357530 3590100542 5128715060 7180201084 7290102121 8975251355 10257430120 12565351897 14360402168 14580204242 17950502710 25130703794 29160408484 35901005420 36450510605 50261407588 51030714847 58320816968 62826759485 71802010840 72901021210 100522815176 102061429694 125653518970 145802042420 204122859388 251307037940 255153574235 291604084840 357215003929 408245718776 502614075880 510307148470 714430007858 1020614296940 1428860015716 1786075019645 2041228593880 2500505027503 2857720031432 3572150039290 5001010055006 7144300078580 10002020110012 12502525137515 14288600157160 20004040220024 25005050275030 50010100550060 100020201100120