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22131002300 = 225211311036301
BaseRepresentation
bin10100100111000111…
…000100101110111100
32010010100101101211212
4110213013010232330
5330311014033200
614100012103552
71412266262411
oct244707045674
963110341755
1022131002300
119427412650
124357764bb8
13211902ba44
1410dd322108
15897da9035
hex5271c4bbc

22131002300 has 144 divisors (see below), whose sum is σ = 54613837824. Its totient is φ = 7711200000.

The previous prime is 22131002287. The next prime is 22131002317. The reversal of 22131002300 is 320013122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3509150 + ... + 3515450.

Almost surely, 222131002300 is an apocalyptic number.

22131002300 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 22131002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306918912).

22131002300 is an abundant number, since it is smaller than the sum of its proper divisors (32482835524).

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

22131002300 is a wasteful number, since it uses less digits than its factorization.

22131002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22131002300 its reverse (320013122), we get a palindrome (22451015422).

The spelling of 22131002300 in words is "twenty-two billion, one hundred thirty-one million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 103 110 124 155 206 220 275 310 341 412 515 550 620 682 775 1030 1100 1133 1364 1550 1705 2060 2266 2575 3100 3193 3410 4532 5150 5665 6301 6386 6820 8525 10300 11330 12602 12772 15965 17050 22660 25204 28325 31505 31930 34100 35123 56650 63010 63860 69311 70246 79825 113300 126020 138622 140492 157525 159650 175615 195331 277244 315050 319300 346555 351230 390662 630100 649003 693110 702460 781324 878075 976655 1298006 1386220 1732775 1756150 1953310 2148641 2596012 3245015 3465550 3512300 3906620 4297282 4883275 6490030 6931100 7139033 8594564 9766550 10743205 12980060 14278066 16225075 19533100 20119093 21486410 28556132 32450150 35695165 40238186 42972820 53716025 64900300 71390330 80476372 100595465 107432050 142780660 178475825 201190930 214864100 221310023 356951650 402381860 442620046 502977325 713903300 885240092 1005954650 1106550115 2011909300 2213100230 4426200460 5532750575 11065501150 22131002300