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10010012120000 = 26542411038383
BaseRepresentation
bin1001000110101010001100…
…1101110111001111000000
31022102221120221210122110122
42101222203031313033000
52303001001100320000
633142311443315412
72052125301065444
oct221524315671700
938387527718418
1010010012120000
11320a249976a62
12115801097bb68
13577c2b4ca499
142686b6b28824
151255b3de7085
hex91aa33773c0

10010012120000 has 140 divisors (see below), whose sum is σ = 24924594901536. Its totient is φ = 3987386880000.

The previous prime is 10010012119999. The next prime is 10010012120011. The reversal of 10010012120000 is 2121001001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10010012120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9120809 + ... + 10159191.

Almost surely, 210010012120000 is an apocalyptic number.

10010012120000 is a gapful number since it is divisible by the number (10) 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 10010012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12462297450768).

10010012120000 is an abundant number, since it is smaller than the sum of its proper divisors (14914582781536).

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

10010012120000 is an equidigital number, since it uses as much as digits as its factorization.

10010012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038656 (or 1038631 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010012120000 its reverse (2121001001), we get a palindrome (10012133121001).

The spelling of 10010012120000 in words is "ten trillion, ten billion, twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 241 250 320 400 482 500 625 800 964 1000 1205 1250 1600 1928 2000 2410 2500 3856 4000 4820 5000 6025 7712 8000 9640 10000 12050 15424 19280 20000 24100 30125 38560 40000 48200 60250 77120 96400 120500 150625 192800 241000 301250 385600 482000 602500 964000 1038383 1205000 1928000 2076766 2410000 4153532 4820000 5191915 8307064 9640000 10383830 16614128 20767660 25959575 33228256 41535320 51919150 66456512 83070640 103838300 129797875 166141280 207676600 250250303 259595750 332282560 415353200 500500606 519191500 648989375 830706400 1001001212 1038383000 1251251515 1297978750 1661412800 2002002424 2076766000 2502503030 2595957500 4004004848 4153532000 5005006060 5191915000 6256257575 8008009696 8307064000 10010012120 10383830000 12512515150 16016019392 20020024240 20767660000 25025030300 31281287875 40040048480 41535320000 50050060600 62562575750 80080096960 100100121200 125125151500 156406439375 200200242400 250250303000 312812878750 400400484800 500500606000 625625757500 1001001212000 1251251515000 2002002424000 2502503030000 5005006060000 10010012120000