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1100122020 = 2233517119839
BaseRepresentation
bin100000110010010…
…1000011110100100
32211200001222201000
41001210220132210
54223112401040
6301055233300
736155611554
oct10144503644
92750058630
101100122020
11514a98a58
12268518830
13146bc439a
14a6171164
15668ac130
hex419287a4

1100122020 has 96 divisors (see below), whose sum is σ = 3623961600. Its totient is φ = 276106752.

The previous prime is 1100122013. The next prime is 1100122057. The reversal of 1100122020 is 202210011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100121993 and 1100122011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50740 + ... + 69099.

It is an arithmetic number, because the mean of its divisors is an integer number (37749600).

Almost surely, 21100122020 is an apocalyptic number.

1100122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100122020 is an abundant number, since it is smaller than the sum of its proper divisors (2523839580).

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

1100122020 is a wasteful number, since it uses less digits than its factorization.

1100122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119874 (or 119866 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1100122020 is about 33168.0873732568. The cubic root of 1100122020 is about 1032.3182833844.

Adding to 1100122020 its reverse (202210011), we get a palindrome (1302332031).

The spelling of 1100122020 in words is "one billion, one hundred million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 119839 239678 359517 479356 599195 719034 1078551 1198390 1438068 1797585 2037263 2157102 2396780 3235653 3595170 4074526 4314204 5392755 6111789 6471306 7190340 8149052 10186315 10785510 12223578 12942612 16178265 18335367 20372630 21571020 24447156 30558945 32356530 36670734 40745260 55006101 61117890 64713060 73341468 91676835 110012202 122235780 183353670 220024404 275030505 366707340 550061010 1100122020