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20221322130300 = 223521272047725919
BaseRepresentation
bin1001001100100001001001…
…01110001111001101111100
32122121010202201002122012210
410212100210232033031330
510122301231431132200
6111001314103300420
74154641133054034
oct446204456171574
978533681078183
1020221322130300
1164968a61a0325
12232703ba4a710
13b38b29b93755
144dca080668c4
1525100a188650
hex126424b8f37c

20221322130300 has 144 divisors (see below), whose sum is σ = 58972865495040. Its totient is φ = 5349425437440.

The previous prime is 20221322130293. The next prime is 20221322130323. The reversal of 20221322130300 is 303122312202.

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, 780160741 + ... + 780186659.

It is an arithmetic number, because the mean of its divisors is an integer number (409533788160).

Almost surely, 220221322130300 is an apocalyptic number.

20221322130300 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 20221322130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29486432747520).

20221322130300 is an abundant number, since it is smaller than the sum of its proper divisors (38751543364740).

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

20221322130300 is a wasteful number, since it uses less digits than its factorization.

20221322130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46540 (or 46533 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20221322130300 its reverse (303122312202), we get a palindrome (20524444442502).

The spelling of 20221322130300 in words is "twenty trillion, two hundred twenty-one billion, three hundred twenty-two million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7620 9525 12700 19050 20477 25919 38100 40954 51838 61431 77757 81908 102385 103676 122862 129595 155514 204770 245724 259190 307155 311028 388785 409540 511925 518380 614310 647975 777570 1023850 1228620 1295950 1535775 1555140 1943925 2047700 2591900 2600579 3071550 3291713 3887850 5201158 6143100 6583426 7775700 7801737 9875139 10402316 13002895 13166852 15603474 16458565 19750278 26005790 31206948 32917130 39008685 39500556 49375695 52011580 65014475 65834260 78017370 82292825 98751390 130028950 156034740 164585650 195043425 197502780 246878475 260057900 329171300 390086850 493756950 530743363 780173700 987513900 1061486726 1592230089 2122973452 2653716815 3184460178 5307433630 6368920356 7961150445 10614867260 13268584075 15922300890 26537168150 31844601780 39805752225 53074336300 67404407101 79611504450 134808814202 159223008900 202213221303 269617628404 337022035505 404426442606 674044071010 808852885212 1011066106515 1348088142020 1685110177525 2022132213030 3370220355050 4044264426060 5055330532575 6740440710100 10110661065150 20221322130300