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10212122221000 = 2353710114444303
BaseRepresentation
bin1001010010011011000111…
…1010101101100111001000
31100011021021100121120100221
42110212301322231213020
52314303411242033000
633415214552235424
72102541623436430
oct224466172554710
940137240546327
1010212122221000
113287a33845287
12118b21709bb74
13590ccaa3301b
142743ab1652c0
1512a99272b61a
hex949b1ead9c8

10212122221000 has 128 divisors (see below), whose sum is σ = 27580531829760. Its totient is φ = 3466632480000.

The previous prime is 10212122220983. The next prime is 10212122221009. The reversal of 10212122221000 is 12222121201.

It is a happy number.

10212122221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10212122221009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6515152 + ... + 7929151.

It is an arithmetic number, because the mean of its divisors is an integer number (215472904920).

Almost surely, 210212122221000 is an apocalyptic number.

10212122221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212122221000 is an abundant number, since it is smaller than the sum of its proper divisors (17368409608760).

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

10212122221000 is a wasteful number, since it uses less digits than its factorization.

10212122221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14444432 (or 14444418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10212122221000 its reverse (12222121201), we get a palindrome (10224344342201).

The spelling of 10212122221000 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 175 200 202 250 280 350 404 500 505 700 707 808 875 1000 1010 1400 1414 1750 2020 2525 2828 3500 3535 4040 5050 5656 7000 7070 10100 12625 14140 17675 20200 25250 28280 35350 50500 70700 88375 101000 141400 176750 353500 707000 14444303 28888606 57777212 72221515 101110121 115554424 144443030 202220242 288886060 361107575 404440484 505550605 577772120 722215150 808880968 1011101210 1444430300 1458874603 1805537875 2022202420 2527753025 2888860600 2917749206 3611075750 4044404840 5055506050 5835498412 7222151500 7294373015 10111012100 10212122221 11670996824 12638765125 14444303000 14588746030 20222024200 20424244442 25277530250 29177492060 36471865075 40848488884 50555060500 51060611105 58354984120 72943730150 81696977768 101110121000 102121222210 145887460300 182359325375 204242444420 255303055525 291774920600 364718650750 408484888840 510606111050 729437301500 1021212222100 1276515277625 1458874603000 2042424444200 2553030555250 5106061110500 10212122221000