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106012626722 = 21722924672
BaseRepresentation
bin110001010111011011…
…0000100111100100010
3101010122012110102112022
41202232312010330202
53214103213023342
6120411310301442
710442043313322
oct1425666047442
9333565412468
10106012626722
1140a614005a2
12186674b7882
139cc63a9832
1451b97d9282
152b570189d2
hex18aed84f22

106012626722 has 54 divisors (see below), whose sum is σ = 175324458387. Its totient is φ = 48064865408.

The previous prime is 106012626683. The next prime is 106012626761. The reversal of 106012626722 is 227626210601.

It is an interprime number because it is at equal distance from previous prime (106012626683) and next prime (106012626761).

It can be written as a sum of positive squares in 5 ways, for example, as 84646665481 + 21365961241 = 290941^2 + 146171^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=230231.

It is a super-2 number, since 2×1060126267222 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 227007533 + ... + 227007999.

Almost surely, 2106012626722 is an apocalyptic number.

106012626722 is a deficient number, since it is larger than the sum of its proper divisors (69311831665).

106012626722 is an frugal number, since it uses more digits than its factorization.

106012626722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 106012626722 in words is "one hundred six billion, twelve million, six hundred twenty-six thousand, seven hundred twenty-two".

Divisors: 1 2 17 29 34 58 289 467 493 578 841 934 986 1682 7939 8381 13543 14297 15878 16762 27086 28594 134963 218089 230231 243049 269926 392747 436178 460462 486098 785494 3707513 3913927 6324581 6676699 7415026 7827854 12649162 13353398 63027721 107517877 113503883 126055442 183412849 215035754 227007766 366825698 1827803909 3118018433 3655607818 6236036866 53006313361 106012626722