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103212303201333 = 32294154760129339
BaseRepresentation
bin10111011101111011111100…
…101010110011010000110101
3111112102222222212111212121200
4113131323330222303100311
5102012012244104420313
61003303024424403113
730511562042632104
oct2735737452632065
9445388885455550
10103212303201333
112a983101466337
12b6ab29b616499
134578b55ba87b1
141b6b705bb203b
15bdebc764ab73
hex5ddefcab3435

103212303201333 has 96 divisors (see below), whose sum is σ = 158544454723200. Its totient is φ = 64586785536000.

The previous prime is 103212303201299. The next prime is 103212303201341. The reversal of 103212303201333 is 333102303212301.

103212303201333 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 2 + 3 + 0 + 320 + 1 + 333 = 666.

It is not a de Polignac number, because 103212303201333 - 246 = 32843559023669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103212303201297 and 103212303201306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212303201373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3517906978 + ... + 3517936316.

It is an arithmetic number, because the mean of its divisors is an integer number (1651504736700).

Almost surely, 2103212303201333 is an apocalyptic number.

It is an amenable number.

103212303201333 is a deficient number, since it is larger than the sum of its proper divisors (55332151521867).

103212303201333 is a wasteful number, since it uses less digits than its factorization.

103212303201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103212303201333 its reverse (333102303212301), we get a palindrome (436314606413634).

The spelling of 103212303201333 in words is "one hundred three trillion, two hundred twelve billion, three hundred three million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 3 9 29 41 87 123 261 369 547 601 1189 1641 1803 3567 4923 5409 10701 15863 17429 22427 24641 29339 47589 52287 67281 73923 88017 142767 156861 201843 221769 264051 328747 650383 714589 850831 986241 1202899 1951149 2143767 2552493 2958723 3608697 5853447 6431301 7657479 9533663 10826091 13478627 16048433 17632739 28600989 34884071 40435881 48145299 52898217 85802967 104652213 121307643 144435897 158694651 313956639 390880183 465404557 511349431 657985753 722942299 1172640549 1396213671 1534048293 1973957259 2168826897 3517921647 4188641013 4602144879 5921871777 6506480691 9645108233 19081586837 20965326671 28935324699 57244760511 62895980013 86805974097 171734281533 188687940039 279708138757 395449437553 839124416271 1186348312659 2517373248813 3559044937977 11468033689037 34404101067111 103212303201333