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10242134442033 = 3135331643156593
BaseRepresentation
bin1001010100001010111011…
…0010010000000000110001
31100021010201221220100211220
42111002232302100000301
52320301342404121113
633441101022255253
72104653432215214
oct225025662200061
940233657810756
1010242134442033
11329973497613a
121194bb2127529
13593aa17b68b0
14275a1707177b
1512b64c46b523
hex950aec90031

10242134442033 has 32 divisors (see below), whose sum is σ = 14984707860864. Its totient is φ = 6183695311872.

The previous prime is 10242134442019. The next prime is 10242134442079. The reversal of 10242134442033 is 33024443124201.

It is not a de Polignac number, because 10242134442033 - 26 = 10242134441969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10242134441985 and 10242134442003.

It is not an unprimeable number, because it can be changed into a prime (10242134442433) 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, 65327785 + ... + 65484377.

It is an arithmetic number, because the mean of its divisors is an integer number (468272120652).

Almost surely, 210242134442033 is an apocalyptic number.

10242134442033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10242134442033 is a deficient number, since it is larger than the sum of its proper divisors (4742573418831).

10242134442033 is a wasteful number, since it uses less digits than its factorization.

10242134442033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188305.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10242134442033 its reverse (33024443124201), we get a palindrome (43266577566234).

The spelling of 10242134442033 in words is "ten trillion, two hundred forty-two billion, one hundred thirty-four million, four hundred forty-two thousand, thirty-three".

Divisors: 1 3 13 39 53 159 689 2067 31643 94929 156593 411359 469779 1234077 1677079 2035709 5031237 6107127 8299429 21802027 24898287 65406081 107892577 323677731 4955072299 14865216897 64415939887 193247819661 262618831847 787856495541 3414044814011 10242134442033