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22201321020320 = 2551353201390793
BaseRepresentation
bin1010000110001001001011…
…10110100101101110100000
32220121102111020022211022202
411003010211312211232200
510402221301140122240
6115115051315152332
74450664300663111
oct503044566455640
986542436284282
1022201321020320
11708a588a24152
1225a69215a56a8
13c50763751bb0
1456a79a422208
1528779227b315
hex143125da5ba0

22201321020320 has 96 divisors (see below), whose sum is σ = 57551044419792. Its totient is φ = 8042742669312.

The previous prime is 22201321020317. The next prime is 22201321020337. The reversal of 22201321020320 is 2302012310222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7101350906896 + 15099970113424 = 2664836^2 + 3885868^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22201321020292 and 22201321020301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100585157 + ... + 100805636.

Almost surely, 222201321020320 is an apocalyptic number.

22201321020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201321020320 is an abundant number, since it is smaller than the sum of its proper divisors (35349723399472).

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

22201321020320 is a wasteful number, since it uses less digits than its factorization.

22201321020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201390874 (or 201390866 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22201321020320 its reverse (2302012310222), we get a palindrome (24503333330542).

The spelling of 22201321020320 in words is "twenty-two trillion, two hundred one billion, three hundred twenty-one million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 212 260 265 416 424 520 530 689 848 1040 1060 1378 1696 2080 2120 2756 3445 4240 5512 6890 8480 11024 13780 22048 27560 55120 110240 201390793 402781586 805563172 1006953965 1611126344 2013907930 2618080309 3222252688 4027815860 5236160618 6444505376 8055631720 10472321236 10673712029 13090401545 16111263440 20944642472 21347424058 26180803090 32222526880 41889284944 42694848116 52361606180 53368560145 83778569888 85389696232 104723212360 106737120290 138758256377 170779392464 209446424720 213474240580 277516512754 341558784928 418892849440 426948481160 555033025508 693791281885 853896962320 1110066051016 1387582563770 1707793924640 2220132102032 2775165127540 4440264204064 5550330255080 11100660510160 22201321020320