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113122203212312 = 23723747165944249
BaseRepresentation
bin11001101110001001010000…
…101111010001101000011000
3112211112101011211201110011122
4121232021100233101220120
5104311343233010243222
61040331342302144412
732553544436114600
oct3156112057215030
9484471154643148
10113122203212312
1133053947695008
121082ba10b82108
134b174bb5a3238
141dd1202a15c00
15d1287c560a42
hex66e250bd1a18

113122203212312 has 96 divisors (see below), whose sum is σ = 258793376760000. Its totient is φ = 46167017347584.

The previous prime is 113122203212303. The next prime is 113122203212327. The reversal of 113122203212312 is 213212302221311.

It is a super-3 number, since 3×1131222032123123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82290437 + ... + 83653812.

It is an arithmetic number, because the mean of its divisors is an integer number (2695764341250).

Almost surely, 2113122203212312 is an apocalyptic number.

It is an amenable number.

113122203212312 is an abundant number, since it is smaller than the sum of its proper divisors (145671173547688).

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

113122203212312 is a wasteful number, since it uses less digits than its factorization.

113122203212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165944353 (or 165944342 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 113122203212312 its reverse (213212302221311), we get a palindrome (326334505433623).

The spelling of 113122203212312 in words is "one hundred thirteen trillion, one hundred twenty-two billion, two hundred three million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 47 49 56 74 94 98 148 188 196 259 296 329 376 392 518 658 1036 1316 1739 1813 2072 2303 2632 3478 3626 4606 6956 7252 9212 12173 13912 14504 18424 24346 48692 85211 97384 170422 340844 681688 165944249 331888498 663776996 1161609743 1327553992 2323219486 4646438972 6139937213 7799379703 8131268201 9292877944 12279874426 15598759406 16262536402 24559748852 31197518812 32525072804 42979560491 49119497704 54595657921 62395037624 65050145608 85959120982 109191315842 171918241964 218382631684 288577049011 300856923437 343836483928 382169605447 436765263368 577154098022 601713846874 764339210894 1154308196044 1203427693748 1528678421788 2020039343077 2308616392088 2406855387496 3057356843576 4040078686154 8080157372308 14140275401539 16160314744616 28280550803078 56561101606156 113122203212312