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10222022212020 = 22335174771083119
BaseRepresentation
bin1001010011000000000000…
…0000001011100110110100
31100012012211022012012222000
42110300000000023212310
52314434200141241040
633423533203335300
72103342145121133
oct224600000134664
940165738165860
1010222022212020
113291154062043
12119111a681530
13591c17aa5888
14274a69cd391a
1512ad71932130
hex94c0000b9b4

10222022212020 has 96 divisors (see below), whose sum is σ = 31803695884800. Its totient is φ = 2725714104192.

The previous prime is 10222022212009. The next prime is 10222022212067. The reversal of 10222022212020 is 2021222022201.

10222022212020 is a `hidden beast` number, since 102 + 220 + 222 + 120 + 2 + 0 = 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 = 10222022211984 and 10222022212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8896021 + ... + 9979139.

It is an arithmetic number, because the mean of its divisors is an integer number (331288498800).

Almost surely, 210222022212020 is an apocalyptic number.

10222022212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022212020 is an abundant number, since it is smaller than the sum of its proper divisors (21581673672780).

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

10222022212020 is a wasteful number, since it uses less digits than its factorization.

10222022212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100614 (or 1100606 counting only the distinct ones).

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

Adding to 10222022212020 its reverse (2021222022201), we get a palindrome (12243244234221).

The spelling of 10222022212020 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 17477 34954 52431 69908 87385 104862 157293 174770 209724 262155 314586 349540 471879 524310 629172 786465 943758 1048620 1083119 1572930 1887516 2166238 2359395 3145860 3249357 4332476 4718790 5415595 6498714 9437580 9748071 10831190 12997428 16246785 19496142 21662380 29244213 32493570 38992284 48740355 58488426 64987140 97480710 116976852 146221065 194961420 292442130 584884260 18929670763 37859341526 56789012289 75718683052 94648353815 113578024578 170367036867 189296707630 227156049156 283945061445 340734073734 378593415260 511101110601 567890122890 681468147468 851835184335 1022202221202 1135780245780 1703670368670 2044404442404 2555505553005 3407340737340 5111011106010 10222022212020