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1012011121020 = 2235107157634131
BaseRepresentation
bin11101011101000001001…
…00000011100101111100
310120202011210110121000010
432232200210003211330
5113040044321333040
62052524514303220
7133054402411404
oct16564044034574
93522153417003
101012011121020
11360211992999
12144174587b10
1374580825243
1436da571b804
151b4d0e81e80
hexeba090397c

1012011121020 has 48 divisors (see below), whose sum is σ = 2860113691008. Its totient is φ = 267347484480.

The previous prime is 1012011121001. The next prime is 1012011121021. The reversal of 1012011121020 is 201211102101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012011120987 and 1012011121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012011121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78810646 + ... + 78823485.

It is an arithmetic number, because the mean of its divisors is an integer number (59585701896).

Almost surely, 21012011121020 is an apocalyptic number.

1012011121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012011121020 is an abundant number, since it is smaller than the sum of its proper divisors (1848102569988).

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

1012011121020 is a wasteful number, since it uses less digits than its factorization.

1012011121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157634250 (or 157634248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012011121020 its reverse (201211102101), we get a palindrome (1213222223121).

It can be divided in two parts, 101201 and 1121020, that added together give a palindrome (1222221).

The spelling of 1012011121020 in words is "one trillion, twelve billion, eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 157634131 315268262 472902393 630536524 788170655 945804786 1576341310 1891609572 2364511965 3152682620 4729023930 9458047860 16866852017 33733704034 50600556051 67467408068 84334260085 101201112102 168668520170 202402224204 253002780255 337337040340 506005560510 1012011121020