Search a number
-
+
22000211210100 = 22352145771503077
BaseRepresentation
bin1010000000010010100101…
…10001100010111101110100
32212220012101112201221102010
411000021102301202331310
510340422413032210400
6114442431342044220
74430314512543564
oct500112261427564
985805345657363
1022000211210100
117012267758122
122573956279670
13c377c35289a6
14560b5cbaada4
15282421684450
hex140252c62f74

22000211210100 has 72 divisors (see below), whose sum is σ = 63654507635488. Its totient is φ = 5866671081600.

The previous prime is 22000211210099. The next prime is 22000211210167. The reversal of 22000211210100 is 101211200022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43479762 + ... + 43982838.

Almost surely, 222000211210100 is an apocalyptic number.

22000211210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000211210100 is an abundant number, since it is smaller than the sum of its proper divisors (41654296425388).

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

22000211210100 is a wasteful number, since it uses less digits than its factorization.

22000211210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648865 (or 648858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22000211210100 its reverse (101211200022), we get a palindrome (22101422410122).

The spelling of 22000211210100 in words is "twenty-two trillion, two hundred eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 145771 291542 437313 503077 583084 728855 874626 1006154 1457710 1509231 1749252 2012308 2186565 2515385 2915420 3018462 3644275 4373130 5030770 6036924 7288550 7546155 8746260 10061540 10932825 12576925 14577100 15092310 21865650 25153850 30184620 37730775 43731300 50307700 75461550 150923100 73334037367 146668074734 220002112101 293336149468 366670186835 440004224202 733340373670 880008448404 1100010560505 1466680747340 1833350934175 2200021121010 3666701868350 4400042242020 5500052802525 7333403736700 11000105605050 22000211210100