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20012121021000 = 2335331215184097
BaseRepresentation
bin1001000110011011011110…
…10111010101101001001000
32121212010210010022011121110
410203031233113111221020
510110334310440133000
6110321235205410320
74133554005011343
oct443155727255110
977763703264543
1020012121021000
116416102668569
1222b2596a099a0
13b2219a53c104
144d283dd7d45a
1524a86405e850
hex12336f5d5a48

20012121021000 has 128 divisors (see below), whose sum is σ = 64451941032960. Its totient is φ = 5164418304000.

The previous prime is 20012121020921. The next prime is 20012121021023. The reversal of 20012121021000 is 12012121002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 107499049 + ... + 107685048.

It is an arithmetic number, because the mean of its divisors is an integer number (503530789320).

Almost surely, 220012121021000 is an apocalyptic number.

20012121021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012121021000 is an abundant number, since it is smaller than the sum of its proper divisors (44439820011960).

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

20012121021000 is a wasteful number, since it uses less digits than its factorization.

20012121021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215184152 (or 215184138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20012121021000 its reverse (12012121002), we get a palindrome (20024133142002).

The spelling of 20012121021000 in words is "twenty trillion, twelve billion, one hundred twenty-one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 215184097 430368194 645552291 860736388 1075920485 1291104582 1721472776 2151840970 2582209164 3227761455 4303681940 5164418328 5379602425 6455522910 6670707007 8607363880 10759204850 12911045820 13341414014 16138807275 20012121021 21518409700 25822091640 26682828028 26898012125 32277614550 33353535035 40024242042 43036819400 53365656056 53796024250 64555229100 66707070070 80048484084 80694036375 100060605105 107592048500 129110458200 133414140140 160096968168 161388072750 166767675175 200121210210 215184097000 266828280280 322776145500 333535350350 400242420420 500303025525 645552291000 667070700700 800484840840 833838375875 1000606051050 1334141401400 1667676751750 2001212102100 2501515127625 3335353503500 4002424204200 5003030255250 6670707007000 10006060510500 20012121021000