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1012331320020 = 223255624062889
BaseRepresentation
bin11101011101100111010…
…01100001001011010100
310120210000002222101110100
432232303221201023110
5113041223304220040
62053020353254100
7133065341146236
oct16566351411324
93523002871410
101012331320020
11360366703169
12144243864330
1374601c75bc7
1436dd606c256
151b4ee130b30
hexebb3a612d4

1012331320020 has 36 divisors (see below), whose sum is σ = 3070738337940. Its totient is φ = 269955018624.

The previous prime is 1012331319973. The next prime is 1012331320061. The reversal of 1012331320020 is 200231332101.

1012331320020 is a `hidden beast` number, since 1 + 0 + 12 + 331 + 320 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 731497036176 + 280834283844 = 855276^2 + 529938^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1012331319975 and 1012331320002.

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, 2812031265 + ... + 2812031624.

It is an arithmetic number, because the mean of its divisors is an integer number (85298287165).

Almost surely, 21012331320020 is an apocalyptic number.

1012331320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012331320020 is an abundant number, since it is smaller than the sum of its proper divisors (2058407017920).

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

1012331320020 is a wasteful number, since it uses less digits than its factorization.

1012331320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624062904 (or 5624062899 counting only the distinct ones).

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

Adding to 1012331320020 its reverse (200231332101), we get a palindrome (1212562652121).

The spelling of 1012331320020 in words is "one trillion, twelve billion, three hundred thirty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5624062889 11248125778 16872188667 22496251556 28120314445 33744377334 50616566001 56240628890 67488754668 84360943335 101233132002 112481257780 168721886670 202466264004 253082830005 337443773340 506165660010 1012331320020