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12023302030100 = 22523731601201337
BaseRepresentation
bin1010111011110110010010…
…1001011000001100010100
31120120102020120221212210022
42232331210221120030110
53033442210304430400
641323232333244312
72350440430005224
oct256754451301424
946512216855708
1012023302030100
113916065604a19
121422243633698
13692a3c20a88a
142d7d0664c084
1515cb489e0b85
hexaef64a58314

12023302030100 has 72 divisors (see below), whose sum is σ = 26176983425208. Its totient is φ = 4793407488000.

The previous prime is 12023302030097. The next prime is 12023302030121. The reversal of 12023302030100 is 103020332021.

It can be written as a sum of positive squares in 12 ways, for example, as 690208700944 + 11333093329156 = 830788^2 + 3366466^2 .

It is a super-3 number, since 3×120233020301003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59616632 + ... + 59817968.

It is an arithmetic number, because the mean of its divisors is an integer number (363569214239).

Almost surely, 212023302030100 is an apocalyptic number.

12023302030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023302030100 is an abundant number, since it is smaller than the sum of its proper divisors (14153681395108).

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

12023302030100 is a wasteful number, since it uses less digits than its factorization.

12023302030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203325 (or 203318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12023302030100 its reverse (103020332021), we get a palindrome (12126322362121).

The spelling of 12023302030100 in words is "twelve trillion, twenty-three billion, three hundred two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 373 746 1492 1601 1865 3202 3730 6404 7460 8005 9325 16010 18650 32020 37300 40025 80050 160100 201337 402674 597173 805348 1006685 1194346 2013370 2388692 2985865 4026740 5033425 5971730 10066850 11943460 14929325 20133700 29858650 59717300 75098701 150197402 300394804 322340537 375493505 644681074 750987010 1289362148 1501974020 1611702685 1877467525 3223405370 3754935050 6446810740 7509870100 8058513425 16117026850 32234053700 120233020301 240466040602 480932081204 601165101505 1202330203010 2404660406020 3005825507525 6011651015050 12023302030100