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11122202100020 = 22511283223248309
BaseRepresentation
bin1010000111011001011011…
…1001111100000100110100
31110101021100101110120010212
42201312112321330010310
52424211232214200040
635353245154404552
72225360351662364
oct241662671740464
943337311416125
1011122202100020
1135a8999148400
1212b7682b90758
13628a858c688b
142a64631449a4
151444a9b43d65
hexa1d96e7c134

11122202100020 has 144 divisors (see below), whose sum is σ = 26098914562560. Its totient is φ = 3977774972160.

The previous prime is 11122202100007. The next prime is 11122202100029. The reversal of 11122202100020 is 2000120222111.

11122202100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11122202099968 and 11122202100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122202100029) 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, 44667626 + ... + 44915934.

It is an arithmetic number, because the mean of its divisors is an integer number (181242462240).

Almost surely, 211122202100020 is an apocalyptic number.

11122202100020 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 11122202100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049457281280).

11122202100020 is an abundant number, since it is smaller than the sum of its proper divisors (14976712462540).

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

11122202100020 is a wasteful number, since it uses less digits than its factorization.

11122202100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248646 (or 248633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11122202100020 its reverse (2000120222111), we get a palindrome (13122322322131).

The spelling of 11122202100020 in words is "eleven trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 121 166 220 223 242 332 415 446 484 605 830 892 913 1115 1210 1660 1826 2230 2420 2453 3652 4460 4565 4906 9130 9812 10043 12265 18260 18509 20086 24530 26983 37018 40172 49060 50215 53966 74036 92545 100430 107932 134915 185090 200860 203599 248309 269830 370180 407198 496618 539660 814396 993236 1017995 1241545 2035990 2239589 2483090 2731399 4071980 4479178 4966180 5462798 8958356 10925596 11197945 13656995 20609647 22395890 27313990 30045389 41219294 44791780 54627980 55372907 60090778 82438588 103048235 110745814 120181556 150226945 206096470 221491628 226706117 276864535 300453890 412192940 453412234 553729070 600907780 609101977 906824468 1107458140 1133530585 1218203954 2267061170 2436407908 2493767287 3045509885 4534122340 4595951281 4987534574 6091019770 6700121747 9191902562 9975069148 12182039540 12468836435 13400243494 18383805124 22979756405 24937672870 26800486988 33500608735 45959512810 49875345740 50555464091 67001217470 91919025620 101110928182 134002434940 202221856364 252777320455 505554640910 556110105001 1011109281820 1112220210002 2224440420004 2780550525005 5561101050010 11122202100020