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1020303112032 = 25323643972473
BaseRepresentation
bin11101101100011101100…
…11011111011101100000
310121112120200022101021100
432312032303133131200
5113204040044041112
62100415404354400
7133500030233331
oct16661663373540
93545520271240
101020303112032
11363787564526
121458a9545a00
13752a26c08b9
1437550ab2288
151b818e082dc
hexed8ecdf760

1020303112032 has 72 divisors (see below), whose sum is σ = 2902286414664. Its totient is φ = 340007330304.

The previous prime is 1020303112009. The next prime is 1020303112051. The reversal of 1020303112032 is 2302113030201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×10203031120323 (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020303111996 and 1020303112014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562948 + ... + 1535420.

It is an arithmetic number, because the mean of its divisors is an integer number (40309533537).

Almost surely, 21020303112032 is an apocalyptic number.

1020303112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020303112032 is an abundant number, since it is smaller than the sum of its proper divisors (1881983302632).

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

1020303112032 is a wasteful number, since it uses less digits than its factorization.

1020303112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976132 (or 976121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020303112032 its reverse (2302113030201), we get a palindrome (3322416142233).

The spelling of 1020303112032 in words is "one trillion, twenty billion, three hundred three million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3643 7286 10929 14572 21858 29144 32787 43716 58288 65574 87432 116576 131148 174864 262296 349728 524592 972473 1049184 1944946 2917419 3889892 5834838 7779784 8752257 11669676 15559568 17504514 23339352 31119136 35009028 46678704 70018056 93357408 140036112 280072224 3542719139 7085438278 10628157417 14170876556 21256314834 28341753112 31884472251 42512629668 56683506224 63768944502 85025259336 113367012448 127537889004 170050518672 255075778008 340101037344 510151556016 1020303112032