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202200212221020 = 2232513631136941913
BaseRepresentation
bin101101111110011001100111…
…110100101010110001011100
3222111221011002110002112112200
4231332121213310222301130
5203000322013312033040
61554013254541131500
760406324516524006
oct5576314764526134
9874834073075480
10202200212221020
11594776a04a5102
121a817909b59b90
1388a9523ab8190
1437d0784839376
151859a58e61630
hexb7e667d2ac5c

202200212221020 has 144 divisors (see below), whose sum is σ = 661567482069312. Its totient is φ = 49693481026560.

The previous prime is 202200212221009. The next prime is 202200212221037. The reversal of 202200212221020 is 20122212002202.

202200212221020 is a `hidden beast` number, since 2 + 0 + 220 + 0 + 212 + 2 + 210 + 20 = 666.

It is a super-2 number, since 2×2022002122210202 (a number of 29 digits) contains 22 as substring.

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 = 202200212220984 and 202200212221002.

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, 66994417 + ... + 69947496.

Almost surely, 2202200212221020 is an apocalyptic number.

202200212221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200212221020 is an abundant number, since it is smaller than the sum of its proper divisors (459367269848292).

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

202200212221020 is a wasteful number, since it uses less digits than its factorization.

202200212221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136942572 (or 136942567 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202200212221020 its reverse (20122212002202), we get a palindrome (222322424223222).

The spelling of 202200212221020 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 631 780 1170 1262 1893 2340 2524 3155 3786 5679 6310 7572 8203 9465 11358 12620 16406 18930 22716 24609 28395 32812 37860 41015 49218 56790 73827 82030 98436 113580 123045 147654 164060 246090 295308 369135 492180 738270 1476540 136941913 273883826 410825739 547767652 684709565 821651478 1232477217 1369419130 1643302956 1780244869 2054128695 2464954434 2738838260 3560489738 4108257390 4929908868 5340734607 6162386085 7120979476 8216514780 8901224345 10681469214 12324772170 16022203821 17802448690 21362938428 24649544340 26703673035 32044407642 35604897380 53407346070 64088815284 80111019105 86410347103 106814692140 160222038210 172820694206 259231041309 320444076420 345641388412 432051735515 518462082618 777693123927 864103471030 1036924165236 1123334512339 1296155206545 1555386247854 1728206942060 2246669024678 2592310413090 3110772495708 3370003537017 3888465619635 4493338049356 5184620826180 5616672561695 6740007074034 7776931239270 10110010611051 11233345123390 13480014148068 15553862478540 16850017685085 20220021222102 22466690246780 33700035370170 40440042444204 50550053055255 67400070740340 101100106110510 202200212221020