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100022032211033 = 109131139379132967
BaseRepresentation
bin10110101111100000110001…
…101100110001110001011001
3111010011000100101210210222202
4112233200301230301301121
5101102230110221223113
6552421253125255545
730032232125635532
oct2657406154616131
9433130311723882
10100022032211033
1129963118683449
12b274b342645b5
1343a70638653ca
141a9b140d79689
15b86c08b62258
hex5af831b31c59

100022032211033 has 32 divisors (see below), whose sum is σ = 102712993152000. Its totient is φ = 97381979472960.

The previous prime is 100022032211021. The next prime is 100022032211051. The reversal of 100022032211033 is 330112230220001.

It is a cyclic number.

It is not a de Polignac number, because 100022032211033 - 212 = 100022032206937 is a prime.

It is a super-3 number, since 3×1000220322110333 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100022032210996 and 100022032211014.

It is not an unprimeable number, because it can be changed into a prime (100022032216033) 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, 752165516 + ... + 752298482.

It is an arithmetic number, because the mean of its divisors is an integer number (3209781036000).

Almost surely, 2100022032211033 is an apocalyptic number.

It is an amenable number.

100022032211033 is a deficient number, since it is larger than the sum of its proper divisors (2690960940967).

100022032211033 is a wasteful number, since it uses less digits than its factorization.

100022032211033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133725.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100022032211033 its reverse (330112230220001), we get a palindrome (430134262431034).

The spelling of 100022032211033 in words is "one hundred trillion, twenty-two billion, thirty-two million, two hundred eleven thousand, thirty-three".

Divisors: 1 109 131 139 379 14279 15151 18209 41311 49649 52681 132967 1984781 5411741 5742229 6901211 14493403 17418677 18482413 50394493 752231999 1898635793 2014583017 2421196103 5492999737 6601678583 7004834527 263910375227 719582965547 763526963443 917633323037 100022032211033