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1213100203112 = 237374121316701
BaseRepresentation
bin10001101001110010011…
…010000001110001101000
311021222020001001101021022
4101221302122001301220
5124333412122444422
62325142431232012
7153433516410020
oct21516232016150
94258201041238
101213100203112
11428522491636
12177134978608
138a519671795
1442a002d8a80
152184ed32342
hex11a72681c68

1213100203112 has 128 divisors (see below), whose sum is σ = 2736564929280. Its totient is φ = 493205760000.

The previous prime is 1213100203111. The next prime is 1213100203141. The reversal of 1213100203112 is 2113020013121.

It is a super-2 number, since 2×12131002031122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1213100203111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181029362 + ... + 181036062.

It is an arithmetic number, because the mean of its divisors is an integer number (21379413510).

Almost surely, 21213100203112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213100203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368282464640).

1213100203112 is an abundant number, since it is smaller than the sum of its proper divisors (1523464726168).

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

1213100203112 is a wasteful number, since it uses less digits than its factorization.

1213100203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923 (or 8919 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1213100203112 its reverse (2113020013121), we get a palindrome (3326120216233).

The spelling of 1213100203112 in words is "one trillion, two hundred thirteen billion, one hundred million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 41 56 74 82 148 164 259 287 296 328 518 574 1036 1148 1517 2072 2131 2296 3034 4262 6068 6701 8524 10619 12136 13402 14917 17048 21238 26804 29834 42476 46907 53608 59668 78847 84952 87371 93814 119336 157694 174742 187628 247937 274741 315388 349484 375256 495874 549482 551929 611597 630776 698968 991748 1098964 1103858 1223194 1735559 1923187 1983496 2197928 2207716 2446388 3232727 3471118 3846374 4415432 4892776 6465454 6942236 7692748 10165417 12930908 13884472 14279831 15385496 20330834 22629089 25861816 28559662 40661668 45258178 57119324 71157919 81323336 90516356 99958817 114238648 142315838 181032712 199917634 284631676 399835268 528353747 569263352 585473071 799670536 1056707494 1170946142 2113414988 2341892284 3698476229 4098311497 4226829976 4683784568 7396952458 8196622994 14793904916 16393245988 21662503627 29587809832 32786491976 43325007254 86650014508 151637525389 173300029016 303275050778 606550101556 1213100203112