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1113000023200 = 255213176295249
BaseRepresentation
bin10000001100100011111…
…110001001010010100000
310221101211212220101000111
4100030203332021102200
5121213411001220300
62211145525101104
7143261115046552
oct20144376112240
93841755811014
101113000023200
1139a02555191a
1215b859557794
1380c561876b0
143bc25c3b4d2
151de41e099ba
hex10323f894a0

1113000023200 has 144 divisors (see below), whose sum is σ = 3098245059000. Its totient is φ = 386780037120.

The previous prime is 1113000023141. The next prime is 1113000023203. The reversal of 1113000023200 is 23200003111.

It can be written as a sum of positive squares in 12 ways, for example, as 175457103376 + 937542919824 = 418876^2 + 968268^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1113000023203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2970825 + ... + 3324424.

Almost surely, 21113000023200 is an apocalyptic number.

1113000023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113000023200 is an abundant number, since it is smaller than the sum of its proper divisors (1985245035800).

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

1113000023200 is a wasteful number, since it uses less digits than its factorization.

1113000023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295299 (or 6295286 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1113000023200 its reverse (23200003111), we get a palindrome (1136200026311).

The spelling of 1113000023200 in words is "one trillion, one hundred thirteen billion, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 65 68 80 85 100 104 130 136 160 170 200 208 221 260 272 325 340 400 416 425 442 520 544 650 680 800 850 884 1040 1105 1300 1360 1700 1768 2080 2210 2600 2720 3400 3536 4420 5200 5525 6800 7072 8840 10400 11050 13600 17680 22100 35360 44200 88400 176800 6295249 12590498 25180996 31476245 50361992 62952490 81838237 100723984 107019233 125904980 157381225 163676474 201447968 214038466 251809960 314762450 327352948 409191185 428076932 503619920 535096165 629524900 654705896 818382370 856153864 1007239840 1070192330 1259049800 1309411792 1391250029 1636764740 1712307728 2045955925 2140384660 2518099600 2618823584 2675480825 2782500058 3273529480 3424615456 4091911850 4280769320 5036199200 5350961650 5565000116 6547058960 6956250145 8183823700 8561538640 10701923300 11130000232 13094117920 13912500290 16367647400 17123077280 21403846600 22260000464 27825000580 32735294800 34781250725 42807693200 44520000928 55650001160 65470589600 69562501450 85615386400 111300002320 139125002900 222600004640 278250005800 556500011600 1113000023200