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20201223120 = 2435136474751
BaseRepresentation
bin10010110100000101…
…100011001111010000
31221010212011110110220
4102310011203033100
5312333003114440
613140314153040
71313414364141
oct226405431720
957125143426
1020201223120
118627077a21
123ab9422780
131b9c29c880
14d98d05ac8
157d37678d0
hex4b41633d0

20201223120 has 80 divisors (see below), whose sum is σ = 67441016832. Its totient is φ = 4972608000.

The previous prime is 20201223101. The next prime is 20201223139. The reversal of 20201223120 is 2132210202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20201223101) and next prime (20201223139).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20201223120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3234256 + ... + 3240495.

Almost surely, 220201223120 is an apocalyptic number.

20201223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201223120 is an abundant number, since it is smaller than the sum of its proper divisors (47239793712).

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

20201223120 is a wasteful number, since it uses less digits than its factorization.

20201223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474780 (or 6474774 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20201223120 its reverse (2132210202), we get a palindrome (22333433322).

The spelling of 20201223120 in words is "twenty billion, two hundred one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6474751 12949502 19424253 25899004 32373755 38848506 51798008 64747510 77697012 84171763 97121265 103596016 129495020 155394024 168343526 194242530 252515289 258990040 310788048 336687052 388485060 420858815 505030578 517980080 673374104 776970120 841717630 1010061156 1262576445 1346748208 1553940240 1683435260 2020122312 2525152890 3366870520 4040244624 5050305780 6733741040 10100611560 20201223120