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112242200334 = 231137477912379
BaseRepresentation
bin110100010001000101…
…0000000111100001110
3101201201100111112222220
41220202022000330032
53314333000402314
6123321403520210
711052315650445
oct1504212007416
9351640445886
10112242200334
1143668883440
1219905829066
13a779bb5774
14560acc7d5c
152dbdd9d3a9
hex1a22280f0e

112242200334 has 128 divisors (see below), whose sum is σ = 260134502400. Its totient is φ = 31976830080.

The previous prime is 112242200299. The next prime is 112242200353. The reversal of 112242200334 is 433002242211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9060957 + ... + 9073335.

It is an arithmetic number, because the mean of its divisors is an integer number (2032300800).

Almost surely, 2112242200334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112242200334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130067251200).

112242200334 is an abundant number, since it is smaller than the sum of its proper divisors (147892302066).

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

112242200334 is a wasteful number, since it uses less digits than its factorization.

112242200334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12558.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 112242200334 its reverse (433002242211), we get a palindrome (545244442545).

The spelling of 112242200334 in words is "one hundred twelve billion, two hundred forty-two million, two hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 79 94 111 141 158 222 237 282 407 474 517 814 869 1034 1221 1551 1738 1739 2442 2607 2923 3102 3478 3713 5214 5217 5846 7426 8769 10434 11139 12379 17538 19129 22278 24758 32153 37137 38258 40843 57387 64306 74274 81686 96459 114774 122529 136169 137381 192918 245058 272338 274762 408507 412143 458023 581813 817014 824286 916046 977941 1163626 1374069 1511191 1745439 1955882 2748138 2933823 3022382 3490878 4533573 5038253 5867646 6399943 9067146 10076506 10757351 12799886 15114759 19199829 21514702 21527081 30229518 32272053 36183817 38399658 43054162 45963227 64544106 64581243 72367634 91926454 108551451 129162486 137889681 217102902 236797891 275779362 398021987 473595782 505595497 710393673 796043974 1011190994 1194065961 1420787346 1516786491 1700639399 2388131922 3033572982 3401278798 5101918197 10203836394 18707033389 37414066778 56121100167 112242200334