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20122100102120 = 2354132029383077
BaseRepresentation
bin1001001001101000010101…
…01000001111001111101000
32122020122122202100100200012
410210310022220033033220
510114140030111231440
6110443544251031052
74144526253534662
oct444641250171750
978218582310605
1020122100102120
116458809a1aa45
12230b96a73b488
13b2c6765c3583
144d7cb4479532
1524d64e3c3e65
hex124d0aa0f3e8

20122100102120 has 64 divisors (see below), whose sum is σ = 46380555925200. Its totient is φ = 7852261201920.

The previous prime is 20122100102113. The next prime is 20122100102141. The reversal of 20122100102120 is 2120100122102.

It can be written as a sum of positive squares in 8 ways, for example, as 1746526119844 + 18375573982276 = 1321562^2 + 4286674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20122100102095 and 20122100102104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52336022 + ... + 52719098.

Almost surely, 220122100102120 is an apocalyptic number.

20122100102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122100102120 is an abundant number, since it is smaller than the sum of its proper divisors (26258455823080).

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

20122100102120 is a wasteful number, since it uses less digits than its factorization.

20122100102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415158 (or 415154 counting only the distinct ones).

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

Adding to 20122100102120 its reverse (2120100122102), we get a palindrome (22242200224222).

The spelling of 20122100102120 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 32029 64058 128116 160145 256232 320290 383077 640580 766154 1281160 1313189 1532308 1915385 2626378 3064616 3830770 5252756 6565945 7661540 10505512 13131890 15323080 15706157 26263780 31412314 52527560 62824628 78530785 125649256 157061570 314123140 628246280 12269573233 24539146466 49078292932 61347866165 98156585864 122695732330 245391464660 490782929320 503052502553 1006105005106 2012210010212 2515262512765 4024420020424 5030525025530 10061050051060 20122100102120