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13300132021400 = 2352713829686969
BaseRepresentation
bin1100000110001010110110…
…1001010000010010011000
31202002110222001211221100002
43001202231221100102120
53220402132244141100
644141555111232132
72541621445604060
oct301425551202230
952073861757302
1013300132021400
114268610879694
1215a97a3378648
13756273c5c8a3
1433da308d23a0
15180e787232d5
hexc18ada50498

13300132021400 has 96 divisors (see below), whose sum is σ = 35342957772000. Its totient is φ = 4559708881920.

The previous prime is 13300132021373. The next prime is 13300132021483. The reversal of 13300132021400 is 412023100331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19017116 + ... + 19704084.

It is an arithmetic number, because the mean of its divisors is an integer number (368155810125).

Almost surely, 213300132021400 is an apocalyptic number.

13300132021400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300132021400 is an abundant number, since it is smaller than the sum of its proper divisors (22042825750600).

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

13300132021400 is a wasteful number, since it uses less digits than its factorization.

13300132021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700821 (or 700812 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13300132021400 its reverse (412023100331), we get a palindrome (13712155121731).

The spelling of 13300132021400 in words is "thirteen trillion, three hundred billion, one hundred thirty-two million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 13829 27658 55316 69145 96803 110632 138290 193606 276580 345725 387212 484015 553160 686969 691450 774424 968030 1373938 1382900 1936060 2420075 2747876 2765800 3434845 3872120 4808783 4840150 5495752 6869690 9617566 9680300 13739380 17174225 19235132 19360600 24043915 27478760 34348450 38470264 48087830 68696900 96175660 120219575 137393800 192351320 240439150 480878300 961756600 9500094301 19000188602 38000377204 47500471505 66500660107 76000754408 95000943010 133001320214 190001886020 237502357525 266002640428 332503300535 380003772040 475004715050 532005280856 665006601070 950009430100 1330013202140 1662516502675 1900018860200 2660026404280 3325033005350 6650066010700 13300132021400