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13530350100 = 2235245979811
BaseRepresentation
bin11001001100111100…
…01100001000010100
31021220221202000000210
430212132030020110
5210202232200400
610114334205420
7656203035561
oct144636141024
937827660023
1013530350100
115813591323
122757353870
131378222227
14924d81868
15542cb2950
hex32678c214

13530350100 has 72 divisors (see below), whose sum is σ = 39160319968. Its totient is φ = 3606940800.

The previous prime is 13530350059. The next prime is 13530350107. The reversal of 13530350100 is 105303531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530350107) 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, 1374195 + ... + 1384005.

Almost surely, 213530350100 is an apocalyptic number.

13530350100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530350100 is an abundant number, since it is smaller than the sum of its proper divisors (25629969868).

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

13530350100 is a wasteful number, since it uses less digits than its factorization.

13530350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

Adding to 13530350100 its reverse (105303531), we get a palindrome (13635653631).

The spelling of 13530350100 in words is "thirteen billion, five hundred thirty million, three hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4597 9194 9811 13791 18388 19622 22985 27582 29433 39244 45970 49055 55164 58866 68955 91940 98110 114925 117732 137910 147165 196220 229850 245275 275820 294330 344775 459700 490550 588660 689550 735825 981100 1379100 1471650 2943300 45101167 90202334 135303501 180404668 225505835 270607002 451011670 541214004 676517505 902023340 1127529175 1353035010 2255058350 2706070020 3382587525 4510116700 6765175050 13530350100