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10022024444401 = 971092521375997
BaseRepresentation
bin1001000111010110111100…
…1101001111100111110001
31022111002121010002221201101
42101311233031033213301
52303200101224210101
633152015433204401
72053032052132414
oct221655715174761
938432533087641
1010022024444401
113214353586092
12115a403860701
135790c4088848
142690d6233b7b
15125a6879e401
hex91d6f34f9f1

10022024444401 has 16 divisors (see below), whose sum is σ = 10222317785680. Its totient is φ = 9823782850560.

The previous prime is 10022024444389. The next prime is 10022024444447. The reversal of 10022024444401 is 10444442022001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3171163162176 + 6850861282225 = 1780776^2 + 2617415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022024444401 - 213 = 10022024436209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10022024444401.

It is not an unprimeable number, because it can be changed into a prime (10022024445401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26466535 + ... + 26842531.

It is an arithmetic number, because the mean of its divisors is an integer number (638894861605).

Almost surely, 210022024444401 is an apocalyptic number.

It is an amenable number.

10022024444401 is a deficient number, since it is larger than the sum of its proper divisors (200293341279).

10022024444401 is a wasteful number, since it uses less digits than its factorization.

10022024444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378724.

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10022024444401 its reverse (10444442022001), we get a palindrome (20466466466402).

The spelling of 10022024444401 in words is "ten trillion, twenty-two billion, twenty-four million, four hundred forty-four thousand, four hundred one".

Divisors: 1 97 109 2521 10573 244537 274789 375997 26654533 36471709 40983673 947888437 3975416281 91945178389 103319839633 10022024444401