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20012002310120 = 23519414889131363
BaseRepresentation
bin1001000110011011010000…
…10010011111011111101000
32121212010110211221000220012
410203031220102133133220
510110334040042410440
6110321215325151052
74133551033666442
oct443155022373750
977763424830805
1020012002310120
1164160516572a7
1222b25630bb488
13b2217ba76ba2
144d282c2bb492
1524a858910e65
hex12336849f7e8

20012002310120 has 128 divisors (see below), whose sum is σ = 48563168976000. Its totient is φ = 7396962693120.

The previous prime is 20012002310009. The next prime is 20012002310141. The reversal of 20012002310120 is 2101320021002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20012002310095 and 20012002310104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152275559 + ... + 152406921.

It is an arithmetic number, because the mean of its divisors is an integer number (379399757625).

Almost surely, 220012002310120 is an apocalyptic number.

20012002310120 is a gapful number since it is divisible by the number (20) 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 20012002310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24281584488000).

20012002310120 is an abundant number, since it is smaller than the sum of its proper divisors (28551166665880).

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

20012002310120 is a wasteful number, since it uses less digits than its factorization.

20012002310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136323 (or 136319 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20012002310120 its reverse (2101320021002), we get a palindrome (22113322331122).

The spelling of 20012002310120 in words is "twenty trillion, twelve billion, two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1640 3116 3895 4889 6232 7790 9778 15580 19556 24445 31160 39112 48890 92891 97780 131363 185782 195560 200449 262726 371564 400898 464455 525452 656815 743128 801796 928910 1002245 1050904 1313630 1603592 1857820 2004490 2495897 2627260 3715640 3808531 4008980 4991794 5254520 5385883 7617062 8017960 9983588 10771766 12479485 15234124 19042655 19967176 21543532 24958970 26929415 30468248 38085310 43087064 49917940 53858830 76170620 99835880 102331777 107717660 152341240 204663554 215435320 409327108 511658885 642233707 818654216 1023317770 1284467414 2046635540 2568934828 3211168535 4093271080 5137869656 6422337070 12202440433 12844674140 24404880866 25689348280 26331581987 48809761732 52663163974 61012202165 97619523464 105326327948 122024404330 131657909935 210652655896 244048808660 263315819870 488097617320 500300057753 526631639740 1000600115506 1053263279480 2001200231012 2501500288765 4002400462024 5003000577530 10006001155060 20012002310120