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535022113012112 = 241122922931121509
BaseRepresentation
bin111100110100110011000101…
…0111111100011100110010000
32121011100121120221220221021102
41321221212022333203212100
51030111300241412341422
65133521433212043532
7220460033501663315
oct17151461277434620
92534317527827242
10535022113012112
11145524670885700
125000aa531635a8
1319c6c4a426753b
1496192cbd4ad0c
1541cc2463ec192
hex1e6998afe3990

535022113012112 has 180 divisors, whose sum is σ = 1184082521824020. Its totient is φ = 234004348892160.

The previous prime is 535022113012111. The next prime is 535022113012279. The reversal of 535022113012112 is 211210311220535.

It can be written as a sum of positive squares in 6 ways, for example, as 26487862116496 + 508534250895616 = 5146636^2 + 22550704^2 .

It is a super-2 number, since 2×5350221130121122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (535022113012111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 476494814 + ... + 477616322.

Almost surely, 2535022113012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535022113012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592041260912010).

535022113012112 is an abundant number, since it is smaller than the sum of its proper divisors (649060408811908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535022113012112 is a wasteful number, since it uses less digits than its factorization.

535022113012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121890 (or 1121844 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 535022113012112 its reverse (211210311220535), we get a palindrome (746232424232647).

The spelling of 535022113012112 in words is "five hundred thirty-five trillion, twenty-two billion, one hundred thirteen million, twelve thousand, one hundred twelve".