Search a number
-
+
22101021200 = 2452531079743
BaseRepresentation
bin10100100101010100…
…101101001000010000
32010001020222012111202
4110211110231020100
5330230330134300
614053021330332
71411453403066
oct244524551020
963036865452
1022101021200
1194114a5385
1243497069a8
132112a6254b
1410d935a036
15895435ad5
hex52552d210

22101021200 has 120 divisors (see below), whose sum is σ = 54610754688. Its totient is φ = 8591664640.

The previous prime is 22101021169. The next prime is 22101021281. The reversal of 22101021200 is 212010122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2263529 + ... + 2273271.

Almost surely, 222101021200 is an apocalyptic number.

22101021200 is a gapful number since it is divisible by the number (20) 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 22101021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27305377344).

22101021200 is an abundant number, since it is smaller than the sum of its proper divisors (32509733488).

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

22101021200 is a wasteful number, since it uses less digits than its factorization.

22101021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9921 (or 9910 counting only the distinct ones).

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

Adding to 22101021200 its reverse (212010122), we get a palindrome (22313031322).

The spelling of 22101021200 in words is "twenty-two billion, one hundred one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 107 200 212 214 265 400 424 428 530 535 848 856 1060 1070 1325 1712 2120 2140 2650 2675 4240 4280 5300 5350 5671 8560 9743 10600 10700 11342 19486 21200 21400 22684 28355 38972 42800 45368 48715 56710 77944 90736 97430 113420 141775 155888 194860 226840 243575 283550 389720 453680 487150 516379 567100 779440 974300 1032758 1042501 1134200 1948600 2065516 2085002 2268400 2581895 3897200 4131032 4170004 5163790 5212505 8262064 8340008 10327580 10425010 12909475 16680016 20655160 20850020 25818950 26062525 41310320 41700040 51637900 52125050 55252553 83400080 103275800 104250100 110505106 206551600 208500200 221010212 276262765 417000400 442020424 552525530 884040848 1105051060 1381313825 2210102120 2762627650 4420204240 5525255300 11050510600 22101021200