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10203333321312 = 2532205991719901
BaseRepresentation
bin1001010001111010011000…
…0011101110001001100000
31100010102120211202012112200
42110132212003232021200
52314132411312240222
633411202511453200
72102111053144245
oct224364603561140
940112524665480
1010203333321312
11328423372891a
121189583827200
13590229c25671
14273bb5bc15cc
1512a62ad4ceac
hex947a60ee260

10203333321312 has 72 divisors (see below), whose sum is σ = 29017154602800. Its totient is φ = 3400944019200.

The previous prime is 10203333321283. The next prime is 10203333321331. The reversal of 10203333321312 is 21312333330201.

10203333321312 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 333 + 321 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5072562 + ... + 6792462.

It is an arithmetic number, because the mean of its divisors is an integer number (403016036150).

Almost surely, 210203333321312 is an apocalyptic number.

10203333321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10203333321312 is an abundant number, since it is smaller than the sum of its proper divisors (18813821281488).

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

10203333321312 is a wasteful number, since it uses less digits than its factorization.

10203333321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740516 (or 1740505 counting only the distinct ones).

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

Adding to 10203333321312 its reverse (21312333330201), we get a palindrome (31515666651513).

The spelling of 10203333321312 in words is "ten trillion, two hundred three billion, three hundred thirty-three million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20599 41198 61797 82396 123594 164792 185391 247188 329584 370782 494376 659168 741564 988752 1483128 1719901 1977504 2966256 3439802 5159703 5932512 6879604 10319406 13759208 15479109 20638812 27518416 30958218 41277624 55036832 61916436 82555248 123832872 165110496 247665744 495331488 35428240699 70856481398 106284722097 141712962796 212569444194 283425925592 318854166291 425138888388 566851851184 637708332582 850277776776 1133703702368 1275416665164 1700555553552 2550833330328 3401111107104 5101666660656 10203333321312