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212123310120 = 233251499393083
BaseRepresentation
bin1100010110001110001…
…0001101100000101000
3202021112020102122112100
43011203202031200220
511433412031410440
6241240442413400
721216420246321
oct3054342154050
9667466378470
10212123310120
1181a63095567
123513b801260
1317006b99467
14a3a423b448
1557b7951230
hex316388d828

212123310120 has 96 divisors (see below), whose sum is σ = 689862420000. Its totient is φ = 56528336256.

The previous prime is 212123310101. The next prime is 212123310121. The reversal of 212123310120 is 21013321212.

212123310120 is a `hidden beast` number, since 2 + 1 + 212 + 331 + 0 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212123310093 and 212123310102.

It is not an unprimeable number, because it can be changed into a prime (212123310121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343099 + ... + 736181.

It is an arithmetic number, because the mean of its divisors is an integer number (7186066875).

Almost surely, 2212123310120 is an apocalyptic number.

212123310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123310120 is an abundant number, since it is smaller than the sum of its proper divisors (477739109880).

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

212123310120 is a wasteful number, since it uses less digits than its factorization.

212123310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394599 (or 394592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212123310120 its reverse (21013321212), we get a palindrome (233136631332).

The spelling of 212123310120 in words is "two hundred twelve billion, one hundred twenty-three million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1499 2998 4497 5996 7495 8994 11992 13491 14990 17988 22485 26982 29980 35976 44970 53964 59960 67455 89940 107928 134910 179880 269820 393083 539640 786166 1179249 1572332 1965415 2358498 3144664 3537747 3930830 4716996 5896245 7075494 7861660 9433992 11792490 14150988 15723320 17688735 23584980 28301976 35377470 47169960 70754940 141509880 589231417 1178462834 1767694251 2356925668 2946157085 3535388502 4713851336 5303082753 5892314170 7070777004 8838471255 10606165506 11784628340 14141554008 17676942510 21212331012 23569256680 26515413765 35353885020 42424662024 53030827530 70707770040 106061655060 212123310120