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30231122112120 = 23357313126343827
BaseRepresentation
bin1101101111110101110110…
…10010110110111001111000
310222001001210212201112210210
412313322323102312321320
512430301314230041440
6144143552532111120
76240061250052036
oct667727322667170
9128031725645723
1030231122112120
1196a5a46343776
123482bb17654a0
1313b3a23446a87
147672a092d556
153765aa629a80
hex1b7ebb4b6e78

30231122112120 has 128 divisors (see below), whose sum is σ = 92637544285440. Its totient is φ = 7890502763520.

The previous prime is 30231122112077. The next prime is 30231122112143. The reversal of 30231122112120 is 2121122113203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12024354 + ... + 14319473.

It is an arithmetic number, because the mean of its divisors is an integer number (723730814730).

Almost surely, 230231122112120 is an apocalyptic number.

30231122112120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30231122112120 is an abundant number, since it is smaller than the sum of its proper divisors (62406422173320).

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

30231122112120 is a wasteful number, since it uses less digits than its factorization.

30231122112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26344045 (or 26344041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 30231122112120 its reverse (2121122113203), we get a palindrome (32352244225323).

The spelling of 30231122112120 in words is "thirty trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 131 146 219 262 292 365 393 438 524 584 655 730 786 876 1048 1095 1310 1460 1572 1752 1965 2190 2620 2920 3144 3930 4380 5240 7860 8760 9563 15720 19126 28689 38252 47815 57378 76504 95630 114756 143445 191260 229512 286890 382520 573780 1147560 26343827 52687654 79031481 105375308 131719135 158062962 210750616 263438270 316125924 395157405 526876540 632251848 790314810 1053753080 1580629620 1923099371 3161259240 3451041337 3846198742 5769298113 6902082674 7692397484 9615496855 10353124011 11538596226 13804165348 15384794968 17255206685 19230993710 20706248022 23077192452 27608330696 28846490565 34510413370 38461987420 41412496044 46154384904 51765620055 57692981130 69020826740 76923974840 82824992088 103531240110 115385962260 138041653480 207062480220 230771924520 251926017601 414124960440 503852035202 755778052803 1007704070404 1259630088005 1511556105606 2015408140808 2519260176010 3023112211212 3778890264015 5038520352020 6046224422424 7557780528030 10077040704040 15115561056060 30231122112120