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2132321110220 = 225747475168209
BaseRepresentation
bin11111000001111000001…
…111100000100011001100
321112211220010100201020002
4133001320033200203030
5234413443201011340
64311324053343432
7310024622245430
oct37017017404314
97484803321202
102132321110220
1175234874a424
122a5312037b78
131261002928b2
14752c23209c0
153a6ee9d2715
hex1f0783e08cc

2132321110220 has 96 divisors (see below), whose sum is σ = 5227631861760. Its totient is φ = 715365504000.

The previous prime is 2132321110211. The next prime is 2132321110303. The reversal of 2132321110220 is 220111232312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2132321110192 and 2132321110201.

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 31 ways as a sum of consecutive naturals, for example, 31227476 + ... + 31295684.

It is an arithmetic number, because the mean of its divisors is an integer number (54454498560).

Almost surely, 22132321110220 is an apocalyptic number.

2132321110220 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 2132321110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613815930880).

2132321110220 is an abundant number, since it is smaller than the sum of its proper divisors (3095310751540).

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

2132321110220 is a wasteful number, since it uses less digits than its factorization.

2132321110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73023 (or 73021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2132321110220 its reverse (220111232312), we get a palindrome (2352432342532).

The spelling of 2132321110220 in words is "two trillion, one hundred thirty-two billion, three hundred twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 4751 6580 9502 19004 23755 33257 47510 66514 68209 95020 133028 136418 166285 223297 272836 332570 341045 446594 477463 665140 682090 893188 954926 1116485 1364180 1563079 1909852 2232970 2387315 3126158 3205823 4465940 4774630 6252316 6411646 7815395 9549260 12823292 15630790 16029115 22440761 31261580 32058230 44881522 64116460 89763044 112203805 224407610 324060959 448815220 648121918 1296243836 1620304795 2268426713 3240609590 4536853426 6481219180 9073706852 11342133565 15230865073 22684267130 30461730146 45368534260 60923460292 76154325365 106616055511 152308650730 213232111022 304617301460 426464222044 533080277555 1066160555110 2132321110220