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221131303020 = 223351226933377
BaseRepresentation
bin1100110111110001110…
…0111110100001101100
3210010210000120002202000
43031330130332201230
512110334103144040
6245330351132300
721655561030305
oct3157434764154
9703700502660
10221131303020
11858659459a1
1236a34514090
1317b111b7884
14a9ba7337ac
155b436ab130
hex337c73e86c

221131303020 has 96 divisors (see below), whose sum is σ = 688040740800. Its totient is φ = 58961774592.

The previous prime is 221131303007. The next prime is 221131303037. The reversal of 221131303020 is 20303131122.

221131303020 is a `hidden beast` number, since 221 + 13 + 130 + 302 + 0 = 666.

It is a super-2 number, since 2×2211313030202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221131302984 and 221131303002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6608572 + ... + 6641948.

It is an arithmetic number, because the mean of its divisors is an integer number (7167091050).

Almost surely, 2221131303020 is an apocalyptic number.

221131303020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131303020 is an abundant number, since it is smaller than the sum of its proper divisors (466909437780).

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

221131303020 is a wasteful number, since it uses less digits than its factorization.

221131303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45664 (or 45656 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221131303020 its reverse (20303131122), we get a palindrome (241434434142).

The spelling of 221131303020 in words is "two hundred twenty-one billion, one hundred thirty-one million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 12269 24538 33377 36807 49076 61345 66754 73614 100131 110421 122690 133508 147228 166885 184035 200262 220842 245380 300393 331263 333770 368070 400524 441684 500655 552105 600786 662526 667540 736140 901179 1001310 1104210 1201572 1325052 1501965 1656315 1802358 2002620 2208420 3003930 3312630 3604716 4505895 6007860 6625260 9011790 18023580 409502413 819004826 1228507239 1638009652 2047512065 2457014478 3685521717 4095024130 4914028956 6142536195 7371043434 8190048260 11056565151 12285072390 14742086868 18427608585 22113130302 24570144780 36855217170 44226260604 55282825755 73710434340 110565651510 221131303020