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1122293120 = 27513433137
BaseRepresentation
bin100001011100100…
…1101010110000000
32220012210101201212
41002321031112000
54244301334440
6303210345252
736545222414
oct10271152600
92805711655
101122293120
11526561483
12273a2b228
1314b687a90
14a90a2d44
15687db465
hex42e4d580

1122293120 has 128 divisors (see below), whose sum is σ = 2957502240. Its totient is φ = 404619264.

The previous prime is 1122293111. The next prime is 1122293149. The reversal of 1122293120 is 213922211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 356192 + ... + 359328.

Almost surely, 21122293120 is an apocalyptic number.

1122293120 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 1122293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478751120).

1122293120 is an abundant number, since it is smaller than the sum of its proper divisors (1835209120).

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

1122293120 is a wasteful number, since it uses less digits than its factorization.

1122293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1122293120 is about 33500.6435759076. The cubic root of 1122293120 is about 1039.2070879329.

The spelling of 1122293120 in words is "one billion, one hundred twenty-two million, two hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 128 130 160 172 208 215 260 320 344 416 430 520 559 640 688 832 860 1040 1118 1376 1664 1720 2080 2236 2752 2795 3137 3440 4160 4472 5504 5590 6274 6880 8320 8944 11180 12548 13760 15685 17888 22360 25096 27520 31370 35776 40781 44720 50192 62740 71552 81562 89440 100384 125480 134891 163124 178880 200768 203905 250960 269782 326248 357760 401536 407810 501920 539564 652496 674455 815620 1003840 1079128 1304992 1348910 1631240 1753583 2007680 2158256 2609984 2697820 3262480 3507166 4316512 5219968 5395640 6524960 7014332 8633024 8767915 10791280 13049920 14028664 17266048 17535830 21582560 26099840 28057328 35071660 43165120 56114656 70143320 86330240 112229312 140286640 224458624 280573280 561146560 1122293120