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220311434100 = 223521131764891
BaseRepresentation
bin1100110100101110010…
…1011011001101110100
3210001122212211110000110
43031023211123031310
512102144211342400
6245113142343020
721626344202022
oct3151345331564
9701585743013
10220311434100
118548507427a
1236845a2aa70
1317a10399134
14a93d8b5712
155ae670be50
hex334b95b374

220311434100 has 72 divisors (see below), whose sum is σ = 637500565408. Its totient is φ = 58743619200.

The previous prime is 220311434093. The next prime is 220311434131. The reversal of 220311434100 is 1434113022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3362655 + ... + 3427545.

Almost surely, 2220311434100 is an apocalyptic number.

220311434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220311434100 is an abundant number, since it is smaller than the sum of its proper divisors (417189131308).

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

220311434100 is a wasteful number, since it uses less digits than its factorization.

220311434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76225 (or 76218 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220311434100 its reverse (1434113022), we get a palindrome (221745547122).

The spelling of 220311434100 in words is "two hundred twenty billion, three hundred eleven million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 11317 22634 33951 45268 56585 64891 67902 113170 129782 135804 169755 194673 226340 259564 282925 324455 339510 389346 565850 648910 679020 778692 848775 973365 1131700 1297820 1622275 1697550 1946730 3244550 3395100 3893460 4866825 6489100 9733650 19467300 734371447 1468742894 2203114341 2937485788 3671857235 4406228682 7343714470 8812457364 11015571705 14687428940 18359286175 22031143410 36718572350 44062286820 55077858525 73437144700 110155717050 220311434100