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10021021100000 = 2555257389923
BaseRepresentation
bin1001000111010011001101…
…1001110010011111100000
31022111000000012010202221122
42101310303121302133200
52303141022400200000
633151332112111412
72052665146632161
oct221646331623740
938430005122848
1010021021100000
113213989188639
12115a183835568
13578c9424a331
1426903cc95768
15125a0a65c085
hex91d336727e0

10021021100000 has 144 divisors (see below), whose sum is σ = 24755543262576. Its totient is φ = 3992801280000.

The previous prime is 10021021099981. The next prime is 10021021100063. The reversal of 10021021100000 is 112012001.

10021021100000 is digitally balanced in base 2, 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 (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25505039 + ... + 25894961.

It is an arithmetic number, because the mean of its divisors is an integer number (171913494879).

Almost surely, 210021021100000 is an apocalyptic number.

10021021100000 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 10021021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377771631288).

10021021100000 is an abundant number, since it is smaller than the sum of its proper divisors (14734522162576).

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

10021021100000 is an frugal number, since it uses more digits than its factorization.

10021021100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390215 (or 390187 counting only the distinct ones).

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

Adding to 10021021100000 its reverse (112012001), we get a palindrome (10021133112001).

The spelling of 10021021100000 in words is "ten trillion, twenty-one billion, twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 625 800 1000 1028 1250 1285 2000 2056 2500 2570 3125 4000 4112 5000 5140 6250 6425 8224 10000 10280 12500 12850 20000 20560 25000 25700 32125 41120 50000 51400 64250 100000 102800 128500 160625 205600 257000 321250 389923 514000 642500 779846 803125 1028000 1285000 1559692 1606250 1949615 2570000 3119384 3212500 3899230 5140000 6238768 6425000 7798460 9748075 12477536 12850000 15596920 19496150 25700000 31193840 38992300 48740375 62387680 77984600 97480750 100210211 155969200 194961500 200420422 243701875 311938400 389923000 400840844 487403750 501051055 779846000 801681688 974807500 1002102110 1218509375 1559692000 1603363376 1949615000 2004204220 2437018750 2505255275 3206726752 3899230000 4008408440 4874037500 5010510550 7798460000 8016816880 9748075000 10021021100 12526276375 16033633760 19496150000 20042042200 25052552750 38992300000 40084084400 50105105500 62631381875 80168168800 100210211000 125262763750 200420422000 250525527500 313156909375 400840844000 501051055000 626313818750 1002102110000 1252627637500 2004204220000 2505255275000 5010510550000 10021021100000