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1002010020012 = 223223252615523
BaseRepresentation
bin11101001010011000111…
…00111000100010101100
310112210100210122000120200
432211030130320202230
5112404104031120022
62044152252113500
7132251512432461
oct16451434704254
93483323560520
101002010020012
11356a4a596761
12142243165890
13736488408b1
14366d738d668
151b0e7e57bac
hexe94c7388ac

1002010020012 has 54 divisors (see below), whose sum is σ = 2647771014252. Its totient is φ = 319481449584.

The previous prime is 1002010020007. The next prime is 1002010020013. The reversal of 1002010020012 is 2100200102001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002010019976 and 1002010020003.

It is not an unprimeable number, because it can be changed into a prime (1002010020013) 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 17 ways as a sum of consecutive naturals, for example, 26288718 + ... + 26326805.

Almost surely, 21002010020012 is an apocalyptic number.

1002010020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002010020012 is an abundant number, since it is smaller than the sum of its proper divisors (1645760994240).

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

1002010020012 is a wasteful number, since it uses less digits than its factorization.

1002010020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52615579 (or 52615551 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002010020012 its reverse (2100200102001), we get a palindrome (3102210122013).

The spelling of 1002010020012 in words is "one trillion, two billion, ten million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 52615523 105231046 157846569 210462092 315693138 473539707 631386276 947079414 1210157029 1894158828 2420314058 3630471087 4840628116 7260942174 10891413261 14521884348 21782826522 27833611667 43565653044 55667223334 83500835001 111334446668 167001670002 250502505003 334003340004 501005010006 1002010020012