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11212035534 = 23271710934789
BaseRepresentation
bin10100111000100101…
…00001010111001110
31001221101102102022100
422130102201113032
5140430240114114
65052320455530
7544562505150
oct123422412716
931841372270
1011212035534
1148339a1277
12220aa7a5a6
131098b36b6b
14785106ad0
154594c4909
hex29c4a15ce

11212035534 has 96 divisors (see below), whose sum is σ = 29429300160. Its totient is φ = 3011613696.

The previous prime is 11212035533. The next prime is 11212035563. The reversal of 11212035534 is 43553021211.

11212035534 is a `hidden beast` number, since 1 + 1 + 2 + 120 + 3 + 5 + 534 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11212035498 and 11212035507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212035533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338812 + ... + 2343600.

It is an arithmetic number, because the mean of its divisors is an integer number (306555210).

Almost surely, 211212035534 is an apocalyptic number.

11212035534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212035534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714650080).

11212035534 is an abundant number, since it is smaller than the sum of its proper divisors (18217264626).

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

11212035534 is a wasteful number, since it uses less digits than its factorization.

11212035534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11212035534 its reverse (43553021211), we get a palindrome (54765056745).

The spelling of 11212035534 in words is "eleven billion, two hundred twelve million, thirty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1093 2142 2186 3279 4789 6558 7651 9578 9837 14367 15302 18581 19674 22953 28734 33523 37162 43101 45906 55743 67046 68859 81413 86202 100569 111486 130067 137718 162826 167229 201138 244239 260134 301707 334458 390201 488478 569891 603414 732717 780402 1139782 1170603 1465434 1709673 2341206 3419346 5129019 5234377 10258038 10468754 15703131 31406262 36640639 47109393 73281278 88984409 94218786 109921917 177968818 219843834 266953227 329765751 533906454 622890863 659531502 800859681 1245781726 1601719362 1868672589 3737345178 5606017767 11212035534