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10224323134312 = 2371073834455167
BaseRepresentation
bin1001010011001000100100…
…1001100000001101101000
31100012102202122210011222011
42110302021021200031220
52320003403210244222
633424553400205304
72103453154463320
oct224621111401550
940172678704864
1010224323134312
113292124953011
121191661169834
135921c36b1761
14274c07722280
1512ae58936c77
hex94c89260368

10224323134312 has 64 divisors (see below), whose sum is σ = 22171767275520. Its totient is φ = 4329565960128.

The previous prime is 10224323134307. The next prime is 10224323134339. The reversal of 10224323134312 is 21343132342201.

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, 67353 + ... + 4522519.

It is an arithmetic number, because the mean of its divisors is an integer number (346433863680).

Almost surely, 210224323134312 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 10224323134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085883637760).

10224323134312 is an abundant number, since it is smaller than the sum of its proper divisors (11947444141208).

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

10224323134312 is a wasteful number, since it uses less digits than its factorization.

10224323134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455670 (or 4455666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 10224323134312 its reverse (21343132342201), we get a palindrome (31567455476513).

The spelling of 10224323134312 in words is "ten trillion, two hundred twenty-four billion, three hundred twenty-three million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 107 214 383 428 749 766 856 1498 1532 2681 2996 3064 5362 5992 10724 21448 40981 81962 163924 286867 327848 573734 1147468 2294936 4455167 8910334 17820668 31186169 35641336 62372338 124744676 249489352 476702869 953405738 1706328961 1906811476 3336920083 3412657922 3813622952 6673840166 6825315844 11944302727 13347680332 13650631688 23888605454 26695360664 47777210908 95554421816 182577198827 365154397654 730308795308 1278040391789 1460617590616 2556080783578 5112161567156 10224323134312