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2100003410120 = 2357111740107017
BaseRepresentation
bin11110100011110001111…
…101010001000011001000
321102202110211220110000112
4132203301331101003020
5233401301333110440
64244421145053452
7304502020315430
oct36436175210310
97382424813015
102100003410120
1173a6741a5a70
1229abb2a87288
1312304c999025
14738d815b2c0
153995c68c965
hex1e8f1f510c8

2100003410120 has 128 divisors (see below), whose sum is σ = 6237443439360. Its totient is φ = 616043765760.

The previous prime is 2100003410117. The next prime is 2100003410123. The reversal of 2100003410120 is 210143000012.

It is an interprime number because it is at equal distance from previous prime (2100003410117) and next prime (2100003410123).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2100003410095 and 2100003410104.

It is not an unprimeable number, because it can be changed into a prime (2100003410123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20001149 + ... + 20105868.

It is an arithmetic number, because the mean of its divisors is an integer number (48730026870).

Almost surely, 22100003410120 is an apocalyptic number.

2100003410120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100003410120 is an abundant number, since it is smaller than the sum of its proper divisors (4137440029240).

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

2100003410120 is a wasteful number, since it uses less digits than its factorization.

2100003410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40107063 (or 40107059 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2100003410120 its reverse (210143000012), we get a palindrome (2310146410132).

The spelling of 2100003410120 in words is "two trillion, one hundred billion, three million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 2380 2618 3080 3740 4760 5236 6545 7480 10472 13090 26180 52360 40107017 80214034 160428068 200535085 280749119 320856136 401070170 441177187 561498238 681819289 802140340 882354374 1122996476 1363638578 1403745595 1604280680 1764708748 2205885935 2245992952 2727277156 2807491190 3088240309 3409096445 3529417496 4411771870 4772735023 5454554312 5614982380 6176480618 6818192890 7500012179 8823543740 9545470046 11229964760 12352961236 13636385780 15000024358 15441201545 17647087480 19090940092 23863675115 24705922472 27272771560 30000048716 30882403090 37500060895 38181880184 47727350230 52500085253 60000097432 61764806180 75000121790 95454700460 105000170506 123529612360 150000243580 190909400920 210000341012 262500426265 300000487160 420000682024 525000852530 1050001705060 2100003410120