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101012122203000 = 2335343783039707
BaseRepresentation
bin10110111101111010110111…
…101010010111001101111000
3111020122122221110210200010020
4112331322313222113031320
5101214440311240444000
6554500154530050440
730163612361003061
oct2675726752271570
9436578843720106
10101012122203000
112a20500066a658
12b3b49ab419a20
13444952c991b68
141ad30271a7568
15ba2855394ba0
hex5bdeb7a97378

101012122203000 has 128 divisors (see below), whose sum is σ = 322487073342720. Its totient is φ = 26310134121600.

The previous prime is 101012122202951. The next prime is 101012122203019. The reversal of 101012122203000 is 302221210101.

101012122203000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391390854 + ... + 391648853.

It is an arithmetic number, because the mean of its divisors is an integer number (2519430260490).

Almost surely, 2101012122203000 is an apocalyptic number.

101012122203000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012122203000 is an abundant number, since it is smaller than the sum of its proper divisors (221474951139720).

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

101012122203000 is a wasteful number, since it uses less digits than its factorization.

101012122203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783039774 (or 783039760 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101012122203000 its reverse (302221210101), we get a palindrome (101314343413101).

The spelling of 101012122203000 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 129000 783039707 1566079414 2349119121 3132158828 3915198535 4698238242 6264317656 7830397070 9396476484 11745595605 15660794140 18792952968 19575992675 23491191210 31321588280 33670707401 39151985350 46982382420 58727978025 67341414802 78303970700 93964764840 97879963375 101012122203 117455956050 134682829604 156607941400 168353537005 195759926750 202024244406 234911912100 269365659208 293639890125 336707074010 391519853500 404048488812 469823824200 505060611015 587279780250 673414148020 783039707000 808096977624 841767685025 1010121222030 1174559560500 1346828296040 1683535370050 2020242444060 2349119121000 2525303055075 3367070740100 4040484888120 4208838425125 5050606110150 6734141480200 8417676850250 10101212220300 12626515275375 16835353700500 20202424440600 25253030550750 33670707401000 50506061101500 101012122203000