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10010122202000 = 245341571213791
BaseRepresentation
bin1001000110101010100111…
…0001110010101110010000
31022102221212121221101120202
42101222221301302232100
52303001212240431000
633142330414554332
72052131105551304
oct221525161625620
938387777841522
1010010122202000
11320a2a6024218
1211580418089a8
13577c48260c6b
142686c75c1d04
151255bd8dddd5
hex91aa9c72b90

10010122202000 has 160 divisors (see below), whose sum is σ = 24838368242688. Its totient is φ = 3899529600000.

The previous prime is 10010122201969. The next prime is 10010122202021. The reversal of 10010122202000 is 20222101001.

It is a happy 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, 46715105 + ... + 46928895.

Almost surely, 210010122202000 is an apocalyptic number.

10010122202000 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 10010122202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419184121344).

10010122202000 is an abundant number, since it is smaller than the sum of its proper divisors (14828246040688).

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

10010122202000 is a wasteful number, since it uses less digits than its factorization.

10010122202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214426 (or 214410 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10010122202000 its reverse (20222101001), we get a palindrome (10030344303001).

The spelling of 10010122202000 in words is "ten trillion, ten billion, one hundred twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 571 656 820 1000 1025 1142 1640 2000 2050 2284 2855 3280 4100 4568 5125 5710 8200 9136 10250 11420 14275 16400 20500 22840 23411 28550 41000 45680 46822 57100 71375 82000 93644 114200 117055 142750 187288 213791 228400 234110 285500 374576 427582 468220 571000 585275 855164 936440 1068955 1142000 1170550 1710328 1872880 2137910 2341100 2926375 3420656 4275820 4682200 5344775 5852750 8551640 8765431 9364400 10689550 11705500 17103280 17530862 21379100 23411000 26723875 35061724 42758200 43827155 46822000 53447750 70123448 85516400 87654310 106895500 122074661 140246896 175308620 213791000 219135775 244149322 350617240 427582000 438271550 488298644 610373305 701234480 876543100 976597288 1095678875 1220746610 1753086200 1953194576 2191357750 2441493220 3051866525 3506172400 4382715500 4882986440 5005061101 6103733050 8765431000 9765972880 10010122202 12207466100 15259332625 17530862000 20020244404 24414932200 25025305505 30518665250 40040488808 48829864400 50050611010 61037330500 80080977616 100101222020 122074661000 125126527525 200202444040 244149322000 250253055050 400404888080 500506110100 625632637625 1001012220200 1251265275250 2002024440400 2502530550500 5005061101000 10010122202000