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221031201300 = 223527138096381
BaseRepresentation
bin1100110111011001111…
…1000111101000010100
3210010112001012101222220
43031312133013220110
512110132441420200
6245312413422340
721653234132460
oct3156637075024
9703461171886
10221031201300
1185814394aa8
1236a06a9a9b0
1317ac65399a0
14a9ab3174a0
155b399d64a0
hex33767c7a14

221031201300 has 144 divisors (see below), whose sum is σ = 787097872512. Its totient is φ = 46635148800.

The previous prime is 221031201277. The next prime is 221031201301. The reversal of 221031201300 is 3102130122.

221031201300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2210312013002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221031201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221031201301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4020891 + ... + 4075490.

It is an arithmetic number, because the mean of its divisors is an integer number (5465957448).

Almost surely, 2221031201300 is an apocalyptic number.

221031201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221031201300 is an abundant number, since it is smaller than the sum of its proper divisors (566066671212).

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

221031201300 is a wasteful number, since it uses less digits than its factorization.

221031201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096418 (or 8096411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221031201300 its reverse (3102130122), we get a palindrome (224133331422).

The spelling of 221031201300 in words is "two hundred twenty-one billion, thirty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 8096381 16192762 24289143 32385524 40481905 48578286 56674667 80963810 97156572 105252953 113349334 121445715 161927620 170024001 202409525 210505906 226698668 242891430 283373335 315758859 340048002 404819050 421011812 485782860 526264765 566746670 607228575 631517718 680096004 736770671 809638100 850120005 1052529530 1133493340 1214457150 1263035436 1416866675 1473541342 1578794295 1700240010 2105059060 2210312013 2428914300 2631323825 2833733350 2947082684 3157588590 3400480020 3683853355 4250600025 4420624026 5262647650 5667466700 6315177180 7367706710 7893971475 8501200050 8841248052 10525295300 11051560065 14735413420 15787942950 17002400100 18419266775 22103120130 31575885900 36838533550 44206240260 55257800325 73677067100 110515600650 221031201300