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10213101454641 = 329402412917223
BaseRepresentation
bin1001010010011110110001…
…0010001100010100110001
31100011100210121012210101120
42110213230102030110301
52314312412433022031
633415500052452453
72102605114000131
oct224475422142461
940140717183346
1010213101454641
113288396574a88
12118b44b01a129
1359112587c007
14274461228ac1
1512a9ed6a9a96
hex949ec48c531

10213101454641 has 16 divisors (see below), whose sum is σ = 14087391384960. Its totient is φ = 6573784743680.

The previous prime is 10213101454607. The next prime is 10213101454649. The reversal of 10213101454641 is 14645410131201.

It is a cyclic number.

It is not a de Polignac number, because 10213101454641 - 222 = 10213097260337 is a prime.

It is a super-2 number, since 2×102131014546412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10213101454649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2042356 + ... + 4959578.

It is an arithmetic number, because the mean of its divisors is an integer number (880461961560).

Almost surely, 210213101454641 is an apocalyptic number.

It is an amenable number.

10213101454641 is a deficient number, since it is larger than the sum of its proper divisors (3874289930319).

10213101454641 is a wasteful number, since it uses less digits than its factorization.

10213101454641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957496.

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 10213101454641 its reverse (14645410131201), we get a palindrome (24858511585842).

The spelling of 10213101454641 in words is "ten trillion, two hundred thirteen billion, one hundred one million, four hundred fifty-four thousand, six hundred forty-one".

Divisors: 1 3 29 87 40241 120723 1166989 2917223 3500967 8751669 84599467 253798401 117391970743 352175912229 3404367151547 10213101454641