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11520213400 = 2352894991297
BaseRepresentation
bin10101011101010100…
…01000000110011000
31002201212022110212101
422232222020012120
5142043133312100
65143050053144
7555324124663
oct125652100630
932655273771
1011520213400
114981950923
12229611a1b4
131117939027
147b40086da
1547659b86a
hex2aea88198

11520213400 has 96 divisors (see below), whose sum is σ = 27160650000. Its totient is φ = 4543672320.

The previous prime is 11520213391. The next prime is 11520213409. The reversal of 11520213400 is 431202511.

It is an interprime number because it is at equal distance from previous prime (11520213391) and next prime (11520213409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520213409) 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, 8881552 + ... + 8882848.

Almost surely, 211520213400 is an apocalyptic number.

11520213400 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 11520213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13580325000).

11520213400 is an abundant number, since it is smaller than the sum of its proper divisors (15640436600).

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

11520213400 is a wasteful number, since it uses less digits than its factorization.

11520213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11520213400 its reverse (431202511), we get a palindrome (11951415911).

The spelling of 11520213400 in words is "eleven billion, five hundred twenty million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 499 712 890 998 1297 1780 1996 2225 2495 2594 3560 3992 4450 4990 5188 6485 8900 9980 10376 12475 12970 17800 19960 24950 25940 32425 44411 49900 51880 64850 88822 99800 115433 129700 177644 222055 230866 259400 355288 444110 461732 577165 647203 888220 923464 1110275 1154330 1294406 1776440 2220550 2308660 2588812 2885825 3236015 4441100 4617320 5177624 5771650 6472030 8882200 11543300 12944060 16180075 23086600 25888120 32360150 57601067 64720300 115202134 129440600 230404268 288005335 460808536 576010670 1152021340 1440026675 2304042680 2880053350 5760106700 11520213400