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201322310220 = 22345442328097
BaseRepresentation
bin1011101101111110111…
…1101010101001001100
3201020122111110000010000
42323133233222221030
511244302002411340
6232253003444300
720354645254563
oct2733757525114
9636574400100
10201322310220
1178420217469
1233026526690
1315ca5268c65
149a5b96cbda
1553845bed30
hex2edfbeaa4c

201322310220 has 120 divisors (see below), whose sum is σ = 631720815264. Its totient is φ = 53671901184.

The previous prime is 201322310177. The next prime is 201322310261. The reversal of 201322310220 is 22013223102.

201322310220 is a `hidden beast` number, since 2 + 0 + 132 + 2 + 310 + 220 = 666.

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 = 201322310193 and 201322310202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7151212 + ... + 7179308.

Almost surely, 2201322310220 is an apocalyptic number.

201322310220 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 201322310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315860407632).

201322310220 is an abundant number, since it is smaller than the sum of its proper divisors (430398505044).

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

201322310220 is a wasteful number, since it uses less digits than its factorization.

201322310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32541 (or 32530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201322310220 its reverse (22013223102), we get a palindrome (223335533322).

The spelling of 201322310220 in words is "two hundred one billion, three hundred twenty-two million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4423 8846 13269 17692 22115 26538 28097 39807 44230 53076 56194 66345 79614 84291 88460 112388 119421 132690 140485 159228 168582 199035 238842 252873 265380 280970 337164 358263 398070 421455 477684 505746 561940 597105 716526 758619 796140 842910 1011492 1194210 1264365 1433052 1517238 1685820 1791315 2275857 2388420 2528730 3034476 3582630 3793095 4551714 5057460 7165260 7586190 9103428 11379285 15172380 22758570 45517140 124273031 248546062 372819093 497092124 621365155 745638186 1118457279 1242730310 1491276372 1864095465 2236914558 2485460620 3355371837 3728190930 4473829116 5592286395 6710743674 7456381860 10066115511 11184572790 13421487348 16776859185 20132231022 22369145580 33553718370 40264462044 50330577555 67107436740 100661155110 201322310220