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1091220120 = 233352934841
BaseRepresentation
bin100000100001010…
…1011001010011000
32211001022201121000
41001002223022120
54213323020440
6300140345000
736020134524
oct10102531230
92731281530
101091220120
1150aa68911
12265545160
131450c85a3
14a4cd4d84
1565bee730
hex410ab298

1091220120 has 128 divisors (see below), whose sum is σ = 3762936000. Its totient is φ = 280949760.

The previous prime is 1091220107. The next prime is 1091220131. The reversal of 1091220120 is 210221901.

It is a super-2 number, since 2×10912201202 = 2381522700585628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1091220093 and 1091220102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13900 + ... + 48740.

Almost surely, 21091220120 is an apocalyptic number.

1091220120 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 1091220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881468000).

1091220120 is an abundant number, since it is smaller than the sum of its proper divisors (2671715880).

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

1091220120 is a wasteful number, since it uses less digits than its factorization.

1091220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34890 (or 34880 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1091220120 is about 33033.6210549192. The cubic root of 1091220120 is about 1029.5263225569.

The spelling of 1091220120 in words is "one billion, ninety-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 34841 69682 104523 139364 174205 209046 278728 313569 348410 418092 522615 627138 696820 836184 940707 1010389 1045230 1254276 1393640 1567845 1881414 2020778 2090460 2508552 3031167 3135690 3762828 4041556 4180920 4703535 5051945 6062334 6271380 7525656 8083112 9093501 9407070 10103890 12124668 12542760 15155835 18187002 18814140 20207780 24249336 27280503 30311670 36374004 37628280 40415560 45467505 54561006 60623340 72748008 90935010 109122012 121246680 136402515 181870020 218244024 272805030 363740040 545610060 1091220120