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10142323132212 = 22324147843117341
BaseRepresentation
bin1001001110010111000110…
…0100010100011100110100
31022220121002221022110212100
42103211301210110130310
52312132434210212322
633323152515422100
72064521136120645
oct223456144243464
938817087273770
1010142323132212
113260375aa8837
1211797975b4930
1358755610165b
14270c690cb6cc
15128c59aa4dac
hex93971914734

10142323132212 has 144 divisors (see below), whose sum is σ = 26826357003264. Its totient is φ = 3227570496000.

The previous prime is 10142323132211. The next prime is 10142323132237. The reversal of 10142323132212 is 21223132324101.

10142323132212 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 323 + 1 + 322 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142323132211) 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, 584866662 + ... + 584884002.

It is an arithmetic number, because the mean of its divisors is an integer number (186294145856).

Almost surely, 210142323132212 is an apocalyptic number.

10142323132212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142323132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413178501632).

10142323132212 is an abundant number, since it is smaller than the sum of its proper divisors (16684033871052).

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

10142323132212 is a wasteful number, since it uses less digits than its factorization.

10142323132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25870 (or 25865 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10142323132212 its reverse (21223132324101), we get a palindrome (31365455456313).

The spelling of 10142323132212 in words is "ten trillion, one hundred forty-two billion, three hundred twenty-three million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 738 846 1476 1692 1927 3854 5781 7708 8431 11562 16862 17341 17343 23124 25293 33724 34682 34686 50586 52023 69364 69372 75879 101172 104046 151758 156069 208092 303516 312138 345671 396257 624276 691342 710981 792514 815027 1037013 1188771 1382684 1421962 1585028 1630054 2074026 2132943 2377542 2445081 2843924 3111039 3260108 3566313 4148052 4265886 4755084 4890162 6222078 6398829 7132626 7335243 8531772 9780324 12444156 12797658 14265252 14670486 16246537 25595316 29340972 32493074 33416107 48739611 64986148 66832214 97479222 100248321 133664428 146201971 146218833 194958444 200496642 292403942 292437666 300744963 400993284 438605913 584807884 584875332 601489926 877211826 1202979852 1315817739 1754423652 2631635478 5263270956 5994280811 6871492637 11988561622 13742985274 17982842433 20614477911 23977123244 27485970548 35965684866 41228955822 53948527299 61843433733 71931369732 82457911644 107897054598 123686867466 215794109196 247373734932 281731198117 563462396234 845193594351 1126924792468 1690387188702 2535580783053 3380774377404 5071161566106 10142323132212