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10002022120000 = 26541063235231
BaseRepresentation
bin1001000110001100011011…
…1110011011101001000000
31022102011222010012120222201
42101203012332123221000
52302333120130320000
633134510542042544
72051423301155011
oct221430676335100
938364863176881
1010002022120000
113206919809779
121156560b79454
13577257078c31
14268159905008
1512529772496a
hex918c6f9ba40

10002022120000 has 140 divisors (see below), whose sum is σ = 24825201592576. Its totient is φ = 3997028160000.

The previous prime is 10002022119997. The next prime is 10002022120003. The reversal of 10002022120000 is 2122020001.

It is an interprime number because it is at equal distance from previous prime (10002022119997) and next prime (10002022120003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10002022120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42402385 + ... + 42637615.

Almost surely, 210002022120000 is an apocalyptic number.

10002022120000 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 10002022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412600796288).

10002022120000 is an abundant number, since it is smaller than the sum of its proper divisors (14823179472576).

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

10002022120000 is an equidigital number, since it uses as much as digits as its factorization.

10002022120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236326 (or 236301 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002022120000 its reverse (2122020001), we get a palindrome (10004144140001).

Subtracting from 10002022120000 its reverse (2122020001), we obtain a palindrome (9999900099999).

The spelling of 10002022120000 in words is "ten trillion, two billion, twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1063 1250 1600 2000 2126 2500 4000 4252 5000 5315 8000 8504 10000 10630 17008 20000 21260 26575 34016 40000 42520 53150 68032 85040 106300 132875 170080 212600 235231 265750 340160 425200 470462 531500 664375 850400 940924 1063000 1176155 1328750 1700800 1881848 2126000 2352310 2657500 3763696 4252000 4704620 5315000 5880775 7527392 8504000 9409240 10630000 11761550 15054784 18818480 21260000 23523100 29403875 37636960 42520000 47046200 58807750 75273920 94092400 117615500 147019375 188184800 235231000 250050553 294038750 376369600 470462000 500101106 588077500 940924000 1000202212 1176155000 1250252765 1881848000 2000404424 2352310000 2500505530 4000808848 4704620000 5001011060 6251263825 8001617696 9409240000 10002022120 12502527650 16003235392 20004044240 25005055300 31256319125 40008088480 50010110600 62512638250 80016176960 100020221200 125025276500 156281595625 200040442400 250050553000 312563191250 400080884800 500101106000 625126382500 1000202212000 1250252765000 2000404424000 2500505530000 5001011060000 10002022120000