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13300104431400 = 2335217276701871
BaseRepresentation
bin1100000110001010110000…
…0000000000011100101000
31202002110220010221012222020
43001202230000000130220
53220402103213301100
644141552244024440
72541620662233543
oct301425400003450
952073803835866
1013300104431400
1142685a7244936
1215a9796092120
1375626b31c847
1433da2ad8d85a
15180e760c35a0
hexc18ac000728

13300104431400 has 144 divisors (see below), whose sum is σ = 43798302949440. Its totient is φ = 3338065382400.

The previous prime is 13300104431381. The next prime is 13300104431461. The reversal of 13300104431400 is 413440100331.

It is a super-2 number, since 2×133001044314002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38177536 + ... + 38524335.

Almost surely, 213300104431400 is an apocalyptic number.

13300104431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300104431400 is an abundant number, since it is smaller than the sum of its proper divisors (30498198518040).

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

13300104431400 is a wasteful number, since it uses less digits than its factorization.

13300104431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76701924 (or 76701898 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13300104431400 its reverse (413440100331), we get a palindrome (13713544531731).

The spelling of 13300104431400 in words is "thirteen trillion, three hundred billion, one hundred four million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 289 300 340 408 425 510 578 600 680 850 867 1020 1156 1275 1445 1700 1734 2040 2312 2550 2890 3400 3468 4335 5100 5780 6936 7225 8670 10200 11560 14450 17340 21675 28900 34680 43350 57800 86700 173400 76701871 153403742 230105613 306807484 383509355 460211226 613614968 767018710 920422452 1150528065 1303931807 1534037420 1840844904 1917546775 2301056130 2607863614 3068074840 3835093550 3911795421 4602112260 5215727228 5752640325 6519659035 7670187100 7823590842 9204224520 10431454456 11505280650 13039318070 15340374200 15647181684 19558977105 22166840719 23010561300 26078636140 31294363368 32598295175 39117954210 44333681438 46021122600 52157272280 65196590350 66500522157 78235908420 88667362876 97794885525 110834203595 130393180700 133001044314 156471816840 177334725752 195589771050 221668407190 260786361400 266002088628 332502610785 391179542100 443336814380 532004177256 554171017975 665005221570 782359084200 886673628760 1108342035950 1330010443140 1662513053925 2216684071900 2660020886280 3325026107850 4433368143800 6650052215700 13300104431400