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2102121362220 = 22351121511191627
BaseRepresentation
bin11110100101110000001…
…100100111001100101100
321102221221110012120002220
4132211300030213030230
5233420121032042340
64245411244115340
7304605345522045
oct36456014471454
97387843176086
102102121362220
11740560785800
1229b4a4235b50
131232c9701119
1473a5955b8cc
1539a3359ded0
hex1e97032732c

2102121362220 has 144 divisors (see below), whose sum is σ = 6473984880384. Its totient is φ = 509265257600.

The previous prime is 2102121362203. The next prime is 2102121362233. The reversal of 2102121362220 is 222631212012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10874047 + ... + 11065673.

It is an arithmetic number, because the mean of its divisors is an integer number (44958228336).

Almost surely, 22102121362220 is an apocalyptic number.

2102121362220 is a gapful number since it is divisible by the number (20) 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 2102121362220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236992440192).

2102121362220 is an abundant number, since it is smaller than the sum of its proper divisors (4371863518164).

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

2102121362220 is a wasteful number, since it uses less digits than its factorization.

2102121362220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193172 (or 193159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2102121362220 its reverse (222631212012), we get a palindrome (2324752574232).

The spelling of 2102121362220 in words is "two trillion, one hundred two billion, one hundred twenty-one million, three hundred sixty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1511 1815 2420 3022 3630 4533 6044 7260 7555 9066 15110 16621 18132 22665 30220 33242 45330 49863 66484 83105 90660 99726 166210 182831 191627 199452 249315 332420 365662 383254 498630 548493 574881 731324 766508 914155 958135 997260 1096986 1149762 1828310 1916270 2107897 2193972 2299524 2742465 2874405 3656620 3832540 4215794 5484930 5748810 6323691 8431588 10539485 10969860 11497620 12647382 21078970 23186867 25294764 31618455 42157940 46373734 63236910 69560601 92747468 115934335 126473820 139121202 231868670 278242404 289548397 347803005 463737340 579096794 695606010 868645191 1158193588 1391212020 1447741985 1737290382 2895483970 3185032367 3474580764 4343225955 5790967940 6370064734 8686451910 9555097101 12740129468 15925161835 17372903820 19110194202 31850323670 35035356037 38220388404 47775485505 63700647340 70070712074 95550971010 105106068111 140141424148 175176780185 191101942020 210212136222 350353560370 420424272444 525530340555 700707120740 1051060681110 2102121362220