Search a number
-
+
10222133000200 = 23521137369124339
BaseRepresentation
bin1001010011000000011010…
…0110110011100000001000
31100012020010000122211202221
42110300012212303200020
52314434412022001300
633423552202103424
72103344661604552
oct224600646634010
940166100584687
1010222133000200
113291200651920
12119114b7aab74
13591c34a25904
14274a7a8d24d2
1512ad7b51831a
hex94c069b3808

10222133000200 has 96 divisors (see below), whose sum is σ = 25927948764000. Its totient is φ = 3717009907200.

The previous prime is 10222133000173. The next prime is 10222133000207. The reversal of 10222133000200 is 200033122201.

It is not an unprimeable number, because it can be changed into a prime (10222133000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82149631 + ... + 82273969.

It is an arithmetic number, because the mean of its divisors is an integer number (270082799625).

Almost surely, 210222133000200 is an apocalyptic number.

10222133000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222133000200 is an abundant number, since it is smaller than the sum of its proper divisors (15705815763800).

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

10222133000200 is a wasteful number, since it uses less digits than its factorization.

10222133000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161735 (or 161726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10222133000200 its reverse (200033122201), we get a palindrome (10422166122401).

The spelling of 10222133000200 in words is "ten trillion, two hundred twenty-two billion, one hundred thirty-three million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 37369 74738 124339 149476 186845 248678 298952 373690 411059 497356 621695 747380 822118 934225 994712 1243390 1367729 1494760 1644236 1868450 2055295 2486780 2735458 3108475 3288472 3736900 4110590 4973560 5470916 6216950 6838645 7473800 8221180 10276475 10941832 12433900 13677290 16442360 20552950 24867800 27354580 34193225 41105900 54709160 68386450 82211800 136772900 273545800 4646424091 9292848182 18585696364 23232120455 37171392728 46464240910 51110665001 92928481820 102221330002 116160602275 185856963640 204442660004 232321204550 255553325005 408885320008 464642409100 511106650010 929284818200 1022213300020 1277766625025 2044426600040 2555533250050 5111066500100 10222133000200