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13530311400 = 2335283271693
BaseRepresentation
bin11001001100111100…
…00010101011101000
31021220221200000221110
430212132002223220
5210202224431100
610114333310320
7656202515004
oct144636025350
937827600843
1013530311400
115813565241
1227573353a0
13137820a728
14924d71704
15542ca6250
hex326782ae8

13530311400 has 96 divisors (see below), whose sum is σ = 42449470560. Its totient is φ = 3564599040.

The previous prime is 13530311387. The next prime is 13530311423. The reversal of 13530311400 is 411303531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86047 + ... + 185646.

It is an arithmetic number, because the mean of its divisors is an integer number (442181985).

Almost surely, 213530311400 is an apocalyptic number.

13530311400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530311400 is an abundant number, since it is smaller than the sum of its proper divisors (28919159160).

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

13530311400 is a wasteful number, since it uses less digits than its factorization.

13530311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271795 (or 271786 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13530311400 its reverse (411303531), we get a palindrome (13941614931).

The spelling of 13530311400 in words is "thirteen billion, five hundred thirty million, three hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 271693 543386 815079 1086772 1358465 1630158 2173544 2716930 3260316 4075395 5433860 6520632 6792325 8150790 10867720 13584650 16301580 20376975 22550519 27169300 32603160 40753950 45101038 54338600 67651557 81507900 90202076 112752595 135303114 163015800 180404152 225505190 270606228 338257785 451010380 541212456 563762975 676515570 902020760 1127525950 1353031140 1691288925 2255051900 2706062280 3382577850 4510103800 6765155700 13530311400