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10121022612 = 223218110691453
BaseRepresentation
bin10010110110100001…
…01000110010010100
3222010100111012221100
421123100220302110
5131211440210422
64352144350100
7505544162361
oct113320506224
928110435840
1010121022612
1143240650a8
121b65615330
13c53ab199c
146c0267468
153e38167ac
hex25b428c94

10121022612 has 72 divisors (see below), whose sum is σ = 25766828360. Its totient is φ = 3349589760.

The previous prime is 10121022601. The next prime is 10121022677. The reversal of 10121022612 is 21622012101.

10121022612 is a `hidden beast` number, since 10 + 1 + 21 + 0 + 22 + 612 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1191906576 + 8929116036 = 34524^2 + 94494^2 .

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

It is a congruent number.

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, 6964878 + ... + 6966330.

Almost surely, 210121022612 is an apocalyptic number.

10121022612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121022612 is an abundant number, since it is smaller than the sum of its proper divisors (15645805748).

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

10121022612 is a wasteful number, since it uses less digits than its factorization.

10121022612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10121022612 its reverse (21622012101), we get a palindrome (31743034713).

The spelling of 10121022612 in words is "ten billion, one hundred twenty-one million, twenty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1069 1086 1453 1629 2138 2172 2906 3207 3258 4276 4359 5812 6414 6516 8718 9621 12828 13077 17436 19242 26154 38484 52308 193489 262993 386978 525986 580467 773956 788979 1051972 1160934 1553257 1577958 1741401 2321868 2366937 3106514 3155916 3482802 4659771 4733874 6213028 6965604 9319542 9467748 13979313 18639084 27958626 55917252 281139517 562279034 843418551 1124558068 1686837102 2530255653 3373674204 5060511306 10121022612