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10122102022212 = 22321732935546953
BaseRepresentation
bin1001001101001011110001…
…0010111010000001000100
31022211122220200201122201100
42103102330102322001010
52311320031104202322
633310010211100100
72063204060405325
oct223227422720104
938748820648640
1010122102022212
113252839788584
1211758935a1630
1358568298accb
1426dcab6ca44c
1512847470edac
hex934bc4ba044

10122102022212 has 72 divisors (see below), whose sum is σ = 25822158072984. Its totient is φ = 3343081406976.

The previous prime is 10122102022181. The next prime is 10122102022223. The reversal of 10122102022212 is 21222020122101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6038736123456 + 4083365898756 = 2457384^2 + 2020734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948673 + ... + 4598280.

It is an arithmetic number, because the mean of its divisors is an integer number (358641084347).

Almost surely, 210122102022212 is an apocalyptic number.

10122102022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122102022212 is an abundant number, since it is smaller than the sum of its proper divisors (15700056050772).

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

10122102022212 is a wasteful number, since it uses less digits than its factorization.

10122102022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547429 (or 5547424 counting only the distinct ones).

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

Adding to 10122102022212 its reverse (21222020122101), we get a palindrome (31344122144313).

The spelling of 10122102022212 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 173 293 346 519 586 692 879 1038 1172 1557 1758 2076 2637 3114 3516 5274 6228 10548 50689 101378 152067 202756 304134 456201 608268 912402 1824804 5546953 11093906 16640859 22187812 33281718 49922577 66563436 99845154 199690308 959622869 1625257229 1919245738 2878868607 3250514458 3838491476 4875771687 5757737214 6501028916 8636605821 9751543374 11515474428 14627315061 17273211642 19503086748 29254630122 34546423284 58509260244 281169500617 562339001234 843508501851 1124678002468 1687017003702 2530525505553 3374034007404 5061051011106 10122102022212