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20034123242100 = 223521118211333367
BaseRepresentation
bin1001000111000100011101…
…10011001001101001110100
32121221020120111100210212020
410203202032303021221310
510111214341022221400
6110335314341353140
74135263151550502
oct443421663115164
977836514323766
1020034123242100
116424473310970
1222b68b74087b0
13b2429598b056
144d392a13b672
1524b20097b2a0
hex12388ecc9a74

20034123242100 has 144 divisors (see below), whose sum is σ = 63238640134656. Its totient is φ = 4856475888000.

The previous prime is 20034123242093. The next prime is 20034123242101. The reversal of 20034123242100 is 124232143002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034123242101) 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, 59929617 + ... + 60262983.

Almost surely, 220034123242100 is an apocalyptic number.

20034123242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20034123242100 is an abundant number, since it is smaller than the sum of its proper divisors (43204516892556).

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

20034123242100 is a wasteful number, since it uses less digits than its factorization.

20034123242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351606 (or 351599 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20034123242100 its reverse (124232143002), we get a palindrome (20158355385102).

The spelling of 20034123242100 in words is "twenty trillion, thirty-four billion, one hundred twenty-three million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 18211 36422 54633 72844 91055 109266 182110 200321 218532 273165 333367 364220 400642 455275 546330 600963 666734 801284 910550 1000101 1001605 1092660 1201926 1333468 1365825 1666835 1821100 2000202 2003210 2403852 2731650 3004815 3333670 3667037 4000404 4006420 5000505 5008025 5463300 6009630 6667340 7334074 8334175 10001010 10016050 11001111 12019260 14668148 15024075 16668350 18335185 20002020 20032100 22002222 25002525 30048150 33336700 36670370 44004444 50005050 55005555 60096300 73340740 91675925 100010100 110011110 183351850 220022220 275027775 366703700 550055550 1100111100 6070946437 12141892874 18212839311 24283785748 30354732185 36425678622 60709464370 66780410807 72851357244 91064196555 121418928740 133560821614 151773660925 182128393110 200341232421 267121643228 303547321850 333902054035 364256786220 400682464842 455320982775 607094643700 667804108070 801364929684 910641965550 1001706162105 1335608216140 1669510270175 1821283931100 2003412324210 3339020540350 4006824648420 5008530810525 6678041080700 10017061621050 20034123242100