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10222021111122 = 2331932819347929
BaseRepresentation
bin1001010010111111111111…
…1011111110110101010010
31100012012211020010021211000
42110233333323332311102
52314434144401023442
633423533124002430
72103342132554412
oct224577773766522
940165736107730
1010222021111122
11329115347aa07
12119111a230416
13591c177ab762
14274a69ac8642
1512ad717b5d4c
hex94bffefed52

10222021111122 has 64 divisors (see below), whose sum is σ = 22841465328000. Its totient is φ = 3388473575424.

The previous prime is 10222021111121. The next prime is 10222021111163. The reversal of 10222021111122 is 22111112022201.

10222021111122 is a `hidden beast` number, since 102 + 220 + 211 + 11 + 122 = 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 = 10222021111095 and 10222021111104.

It is not an unprimeable number, because it can be changed into a prime (10222021111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29205654 + ... + 29553582.

It is an arithmetic number, because the mean of its divisors is an integer number (356897895750).

Almost surely, 210222021111122 is an apocalyptic number.

10222021111122 is an abundant number, since it is smaller than the sum of its proper divisors (12619444216878).

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

10222021111122 is a wasteful number, since it uses less digits than its factorization.

10222021111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350952 (or 350946 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10222021111122 its reverse (22111112022201), we get a palindrome (32333133133323).

The spelling of 10222021111122 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 193 386 579 1158 1737 2819 3474 5211 5638 8457 10422 16914 25371 50742 76113 152226 347929 544067 695858 1043787 1088134 1632201 2087574 3131361 3264402 4896603 6262722 9394083 9793206 14689809 18788166 29379618 67150297 134300594 201450891 402901782 604352673 980811851 1208705346 1813058019 1961623702 2942435553 3626116038 5884871106 8827306659 17654613318 26481919977 52963839954 189296687243 378593374486 567890061729 1135780123458 1703670185187 3407340370374 5111010555561 10222021111122