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220101201100 = 225211832410747
BaseRepresentation
bin1100110011111100001…
…1011100110011001100
3210001010020020111120001
43030333003130303030
512101231401413400
6245040232334044
721621212224564
oct3147703346314
9701106214501
10220101201100
11853874320a0
12367a7544324
13179a896b201
14a91d9cbda4
155ad3030a6a
hex333f0dcccc

220101201100 has 72 divisors (see below), whose sum is σ = 527317374528. Its totient is φ = 79072468800.

The previous prime is 220101201053. The next prime is 220101201101. The reversal of 220101201100 is 1102101022.

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 (220101201101) 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, 1114074 + ... + 1296673.

It is an arithmetic number, because the mean of its divisors is an integer number (7323852424).

Almost surely, 2220101201100 is an apocalyptic number.

220101201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101201100 is an abundant number, since it is smaller than the sum of its proper divisors (307216173428).

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

220101201100 is a wasteful number, since it uses less digits than its factorization.

220101201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410855 (or 2410848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220101201100 its reverse (1102101022), we get a palindrome (221203302122).

It can be divided in two parts, 220101 and 201100, that added together give a square (421201 = 6492).

The spelling of 220101201100 in words is "two hundred twenty billion, one hundred one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 830 913 1100 1660 1826 2075 3652 4150 4565 8300 9130 18260 22825 45650 91300 2410747 4821494 9642988 12053735 24107470 26518217 48214940 53036434 60268675 106072868 120537350 132591085 200092001 241074700 265182170 400184002 530364340 662955425 800368004 1000460005 1325910850 2000920010 2201012011 2651821700 4001840020 4402024022 5002300025 8804048044 10004600050 11005060055 20009200100 22010120110 44020240220 55025300275 110050600550 220101201100