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10112222122020 = 223456242112421
BaseRepresentation
bin1001001100100110111101…
…1010000101000000100100
31022210201102010221201120000
42103021233122011000210
52311134312330401040
633301253554341300
72062404201551514
oct223115732050044
938721363851500
1010112222122020
113249629843307
12117399688a830
13584769b31015
1426d6114ab844
15128097177130
hex9326f685024

10112222122020 has 60 divisors (see below), whose sum is σ = 31722415328604. Its totient is φ = 2696592565440.

The previous prime is 10112222122007. The next prime is 10112222122033. The reversal of 10112222122020 is 2022122221101.

It is a happy number.

10112222122020 is a `hidden beast` number, since 101 + 122 + 221 + 220 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10112222122007) and next prime (10112222122033).

It can be written as a sum of positive squares in 2 ways, for example, as 6867554842404 + 3244667279616 = 2620602^2 + 1801296^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 10112222121984 and 10112222122002.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3121054591 + ... + 3121057830.

Almost surely, 210112222122020 is an apocalyptic number.

10112222122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112222122020 is an abundant number, since it is smaller than the sum of its proper divisors (21610193206584).

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

10112222122020 is a wasteful number, since it uses less digits than its factorization.

10112222122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242112442 (or 6242112431 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10112222122020 its reverse (2022122221101), we get a palindrome (12134344343121).

The spelling of 10112222122020 in words is "ten trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, 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 6242112421 12484224842 18726337263 24968449684 31210562105 37452674526 56179011789 62421124210 74905349052 93631686315 112358023578 124842248420 168537035367 187263372630 224716047156 280895058945 337074070734 374526745260 505611106101 561790117890 674148141468 842685176835 1011222212202 1123580235780 1685370353670 2022444424404 2528055530505 3370740707340 5056111061010 10112222122020