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10012210133232 = 2434112374112777
BaseRepresentation
bin1001000110110010011000…
…1110100111100011110000
31022110011021010202021210010
42101230212032213203300
52303020001243230412
633143313522334520
72052233620641336
oct221544616474360
938404233667703
1010012210133232
11321017766991a
121158524aba440
135781bb9b4728
14268844a09b56
15125691d7033c
hex91b263a78f0

10012210133232 has 80 divisors (see below), whose sum is σ = 26517152606112. Its totient is φ = 3253370327040.

The previous prime is 10012210133221. The next prime is 10012210133257. The reversal of 10012210133232 is 23233101221001.

It is a junction number, because it is equal to n+sod(n) for n = 10012210133199 and 10012210133208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378028 + ... + 4490804.

Almost surely, 210012210133232 is an apocalyptic number.

10012210133232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012210133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258576303056).

10012210133232 is an abundant number, since it is smaller than the sum of its proper divisors (16504942472880).

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

10012210133232 is a wasteful number, since it uses less digits than its factorization.

10012210133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114066 (or 4114060 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10012210133232 its reverse (23233101221001), we get a palindrome (33245311354233).

The spelling of 10012210133232 in words is "ten trillion, twelve billion, two hundred ten million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1237 1968 2474 3711 4948 7422 9896 14844 19792 29688 50717 59376 101434 152151 202868 304302 405736 608604 811472 1217208 2434416 4112777 8225554 12338331 16451108 24676662 32902216 49353324 65804432 98706648 168623857 197413296 337247714 505871571 674495428 1011743142 1348990856 2023486284 2697981712 4046972568 5087505149 8093945136 10175010298 15262515447 20350020596 30525030894 40700041192 61050061788 81400082384 122100123576 208587711109 244200247152 417175422218 625763133327 834350844436 1251526266654 1668701688872 2503052533308 3337403377744 5006105066616 10012210133232