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1020020121012 = 223503988317099
BaseRepresentation
bin11101101011111011110…
…11111101110110110100
310121111211221210221120110
432311331323331312310
5113203000122333022
62100331335103020
7133460022654534
oct16657573756664
93544757727513
101020020121012
11363651848152
1214582a811a70
1375258b999a9
14375252894c4
151b7ee15900c
hexed7defddb4

1020020121012 has 48 divisors (see below), whose sum is σ = 2385159436800. Its totient is φ = 339276571488.

The previous prime is 1020020121011. The next prime is 1020020121041. The reversal of 1020020121012 is 2101210200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59645239 + ... + 59662337.

It is an arithmetic number, because the mean of its divisors is an integer number (49690821600).

Almost surely, 21020020121012 is an apocalyptic number.

1020020121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020020121012 is an abundant number, since it is smaller than the sum of its proper divisors (1365139315788).

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

1020020121012 is a wasteful number, since it uses less digits than its factorization.

1020020121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27492 (or 27490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020020121012 its reverse (2101210200201), we get a palindrome (3121230321213).

It can be divided in two parts, 10200201 and 21012, that multiplied together give a palindrome (214326623412).

The spelling of 1020020121012 in words is "one trillion, twenty billion, twenty million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 503 1006 1509 2012 3018 6036 9883 17099 19766 29649 34198 39532 51297 59298 68396 102594 118596 205188 4971149 8600797 9942298 14913447 17201594 19884596 25802391 29826894 34403188 51604782 59653788 103209564 168989417 337978834 506968251 675957668 1013936502 2027873004 85001676751 170003353502 255005030253 340006707004 510010060506 1020020121012