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10212422421201 = 3711133400740067
BaseRepresentation
bin1001010010011100001111…
…0011111000101011010001
31100011022001021111022121220
42110213003303320223101
52314310020114434301
633415304434435253
72102552230211610
oct224470363705321
940138037438556
1010212422421201
113288078246120
12118b29b732b29
13591047ca0c90
142743d8d8b877
1512a9adc79936
hex949c3cf8ad1

10212422421201 has 32 divisors (see below), whose sum is σ = 18282378605568. Its totient is φ = 4897065695040.

The previous prime is 10212422421121. The next prime is 10212422421211.

10212422421201 is nontrivially palindromic in base 10.

10212422421201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10212422421201 - 225 = 10212388866769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212422421211) 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, 1700367031 + ... + 1700373036.

It is an arithmetic number, because the mean of its divisors is an integer number (571324331424).

Almost surely, 210212422421201 is an apocalyptic number.

10212422421201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212422421201 is a deficient number, since it is larger than the sum of its proper divisors (8069956184367).

10212422421201 is a wasteful number, since it uses less digits than its factorization.

10212422421201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400740101.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1021242 and 2421201, that added together give a palindrome (3442443).

The spelling of 10212422421201 in words is "ten trillion, two hundred twelve billion, four hundred twenty-two million, four hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 3400740067 10202220201 23805180469 37408140737 44209620871 71415541407 112224422211 132628862613 261856985159 309467346097 486305829581 785570955477 928402038291 1458917488743 3404140807067 10212422421201