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10022010141000 = 23353111323361329
BaseRepresentation
bin1001000111010110111001…
…0110101011100101001000
31022111002120010012021010210
42101311232112223211020
52303200034044003000
633152014202441120
72053031516430504
oct221655626534510
938432503167123
1010022010141000
1132143464a67a0
12115a3bab031a0
135790c111b2b0
142690d438d304
15125a673c6350
hex91d6e5ab948

10022010141000 has 256 divisors, whose sum is σ = 36735224198400. Its totient is φ = 2242687488000.

The previous prime is 10022010140977. The next prime is 10022010141001. The reversal of 10022010141000 is 14101022001.

It is a happy number.

10022010141000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10022010141001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11251665 + ... + 12109664.

It is an arithmetic number, because the mean of its divisors is an integer number (143496969525).

Almost surely, 210022010141000 is an apocalyptic number.

10022010141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022010141000 is an abundant number, since it is smaller than the sum of its proper divisors (26713214057400).

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

10022010141000 is a wasteful number, since it uses less digits than its factorization.

10022010141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23361377 (or 23361363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022010141000 its reverse (14101022001), we get a palindrome (10036111163001).

The spelling of 10022010141000 in words is "ten trillion, twenty-two billion, ten million, one hundred forty-one thousand".