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120020020000100 = 2252111923924027551
BaseRepresentation
bin11011010010100001010110…
…101010000111010101100100
3120201221210122112221102011122
4123102201112222013111210
5111212402000110000400
61103132234102553112
734165105660320323
oct3322412652072544
9521853575842148
10120020020000100
1135273228413640
1211564825a38798
1351c7abacb7a8c
14218cdddc800ba
15dd1ee2022685
hex6d2856a87564

120020020000100 has 144 divisors (see below), whose sum is σ = 300325177958400. Its totient is φ = 41173609680000.

The previous prime is 120020020000039. The next prime is 120020020000103. The reversal of 120020020000100 is 1000020020021.

It is not an unprimeable number, because it can be changed into a prime (120020020000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7018676 + ... + 17008875.

It is an arithmetic number, because the mean of its divisors is an integer number (2085591513600).

Almost surely, 2120020020000100 is an apocalyptic number.

120020020000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020020000100 is an abundant number, since it is smaller than the sum of its proper divisors (180305157958300).

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

120020020000100 is a wasteful number, since it uses less digits than its factorization.

120020020000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24027834 (or 24027827 counting only the distinct ones).

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

Adding to 120020020000100 its reverse (1000020020021), we get a palindrome (121020040020121).

The spelling of 120020020000100 in words is "one hundred twenty trillion, twenty billion, twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 239 275 380 418 475 478 550 836 950 956 1045 1100 1195 1900 2090 2390 2629 4180 4541 4780 5225 5258 5975 9082 10450 10516 11950 13145 18164 20900 22705 23900 26290 45410 49951 52580 65725 90820 99902 113525 131450 199804 227050 249755 262900 454100 499510 999020 1248775 2497550 4995100 24027551 48055102 96110204 120137755 240275510 264303061 456523469 480551020 528606122 600688775 913046938 1057212244 1201377550 1321515305 1826093876 2282617345 2402755100 2643030610 4565234690 5021758159 5286061220 5742584689 6607576525 9130469380 10043516318 11413086725 11485169378 13215153050 20087032636 22826173450 22970338756 25108790795 26430306100 28712923445 45652346900 50217581590 57425846890 63168431579 100435163180 109109109091 114851693780 125543953975 126336863158 143564617225 218218218182 251087907950 252673726316 287129234450 315842157895 436436436364 502175815900 545545545455 574258468900 631684315790 1091091090910 1200200200001 1263368631580 1579210789475 2182182181820 2400400400002 2727727727275 3158421578950 4800800800004 5455455454550 6001001000005 6316843157900 10910910909100 12002002000010 24004004000020 30005005000025 60010010000050 120020020000100