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1100121110220 = 22351110116503467
BaseRepresentation
bin10000000000100100010…
…100111111011011001100
310220011121022221210201110
4100000210110333123030
5121011022001011340
62201215541212020
7142324012101366
oct20004424773314
93804538853643
101100121110220
11394616760990
12159264401010
137c982c00622
143b3635d1d36
151d93b425680
hex1002453f6cc

1100121110220 has 96 divisors (see below), whose sum is σ = 3393641131776. Its totient is φ = 264055456000.

The previous prime is 1100121110203. The next prime is 1100121110227. The reversal of 1100121110220 is 220111210011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100121110196 and 1100121110205.

It is not an unprimeable number, because it can be changed into a prime (1100121110227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8185074 + ... + 8318393.

It is an arithmetic number, because the mean of its divisors is an integer number (35350428456).

Almost surely, 21100121110220 is an apocalyptic number.

1100121110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100121110220 is an abundant number, since it is smaller than the sum of its proper divisors (2293520021556).

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

1100121110220 is a wasteful number, since it uses less digits than its factorization.

1100121110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16503591 (or 16503589 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100121110220 its reverse (220111210011), we get a palindrome (1320232320231).

The spelling of 1100121110220 in words is "one trillion, one hundred billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 16503467 33006934 49510401 66013868 82517335 99020802 165034670 181538137 198041604 247552005 330069340 363076274 495104010 544614411 726152548 907690685 990208020 1089228822 1666850167 1815381370 2178457644 2723072055 3333700334 3630762740 5000550501 5446144110 6667400668 8334250835 10001101002 10892288220 16668501670 18335351837 20002202004 25002752505 33337003340 36670703674 50005505010 55006055511 73341407348 91676759185 100011010020 110012111022 183353518370 220024222044 275030277555 366707036740 550060555110 1100121110220