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1100223230320 = 245293371407223
BaseRepresentation
bin10000000000101010011…
…010100011000101110000
310220011212110010001011101
4100000222122203011300
5121011224121332240
62201234030054144
7142326362103544
oct20005232430560
93804773101141
101100223230320
11394669370265
1215929264a354
137c99b107116
143b372db5a24
151d94539839a
hex1002a6a3170

1100223230320 has 80 divisors (see below), whose sum is σ = 2654080752960. Its totient is φ = 423652626432.

The previous prime is 1100223230279. The next prime is 1100223230341. The reversal of 1100223230320 is 230323220011.

It is a tau number, because it is divible by the number of its divisors (80).

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, 78229 + ... + 1485451.

It is an arithmetic number, because the mean of its divisors is an integer number (33176009412).

Almost surely, 21100223230320 is an apocalyptic number.

1100223230320 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 1100223230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327040376480).

1100223230320 is an abundant number, since it is smaller than the sum of its proper divisors (1553857522640).

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

1100223230320 is a wasteful number, since it uses less digits than its factorization.

1100223230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407602 (or 1407596 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1100223230320 its reverse (230323220011), we get a palindrome (1330546450331).

The spelling of 1100223230320 in words is "one trillion, one hundred billion, two hundred twenty-three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 337 464 580 674 1160 1348 1685 2320 2696 3370 5392 6740 9773 13480 19546 26960 39092 48865 78184 97730 156368 195460 390920 781840 1407223 2814446 5628892 7036115 11257784 14072230 22515568 28144460 40809467 56288920 81618934 112577840 163237868 204047335 326475736 408094670 474234151 652951472 816189340 948468302 1632378680 1896936604 2371170755 3264757360 3793873208 4742341510 7587746416 9484683020 13752790379 18969366040 27505580758 37938732080 55011161516 68763951895 110022323032 137527903790 220044646064 275055807580 550111615160 1100223230320