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10023002121000 = 2335311303727337
BaseRepresentation
bin1001000111011010100101…
…1110110010001100101000
31022111012010020210001212210
42101312221132302030220
52303204102020333000
633152300440205120
72053065223216461
oct221665136621450
938435106701783
1010023002121000
113214805441a80
12115a6371697a0
1357921b7aabcb
1426918a00dd68
15125ac4521350
hex91da97b2328

10023002121000 has 128 divisors (see below), whose sum is σ = 34114654604160. Its totient is φ = 2429818688000.

The previous prime is 10023002120921. The next prime is 10023002121007. The reversal of 10023002121000 is 12120032001.

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

It is not an unprimeable number, because it can be changed into a prime (10023002121007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151830669 + ... + 151896668.

It is an arithmetic number, because the mean of its divisors is an integer number (266520739095).

Almost surely, 210023002121000 is an apocalyptic number.

10023002121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023002121000 is an abundant number, since it is smaller than the sum of its proper divisors (24091652483160).

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

10023002121000 is a wasteful number, since it uses less digits than its factorization.

10023002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303727372 (or 303727358 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10023002121000 its reverse (12120032001), we get a palindrome (10035122153001).

The spelling of 10023002121000 in words is "ten trillion, twenty-three billion, two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 303727337 607454674 911182011 1214909348 1518636685 1822364022 2429818696 3037273370 3341000707 3644728044 4555910055 6074546740 6682001414 7289456088 7593183425 9111820110 10023002121 12149093480 13364002828 15186366850 16705003535 18223640220 20046004242 22779550275 26728005656 30372733700 33410007070 36447280440 37965917125 40092008484 45559100550 50115010605 60745467400 66820014140 75931834250 80184016968 83525017675 91118201100 100230021210 113897751375 133640028280 151863668500 167050035350 182236402200 200460042420 227795502750 250575053025 303727337000 334100070700 400920084840 417625088375 455591005500 501150106050 668200141400 835250176750 911182011000 1002300212100 1252875265125 1670500353500 2004600424200 2505750530250 3341000707000 5011501060500 10023002121000