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20133100013202 = 23211432364705193
BaseRepresentation
bin1001001001111100110100…
…10001100100011010010010
32122021201001100121201221100
410210332122101210122102
510114330042100410302
6110453003553205230
74145365662330411
oct444763221443222
978251040551840
1020133100013202
1164624440a7a50
122311b1a560816
13b3070a4b95b7
144d8639325478
1524da94e46d1c
hex124f9a464692

20133100013202 has 48 divisors (see below), whose sum is σ = 48694009354848. Its totient is φ = 5959057083840.

The previous prime is 20133100013177. The next prime is 20133100013207. The reversal of 20133100013202 is 20231000133102.

20133100013202 is a `hidden beast` number, since 20 + 13 + 310 + 0 + 0 + 1 + 320 + 2 = 666.

It is a super-2 number, since 2×201331000132022 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20133100013207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182344083 + ... + 1182361110.

It is an arithmetic number, because the mean of its divisors is an integer number (1014458528226).

Almost surely, 220133100013202 is an apocalyptic number.

20133100013202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20133100013202 is an abundant number, since it is smaller than the sum of its proper divisors (28560909341646).

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

20133100013202 is a wasteful number, since it uses less digits than its factorization.

20133100013202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364705255 (or 2364705252 counting only the distinct ones).

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

Adding to 20133100013202 its reverse (20231000133102), we get a palindrome (40364100146304).

The spelling of 20133100013202 in words is "twenty trillion, one hundred thirty-three billion, one hundred million, thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 2364705193 4729410386 7094115579 14188231158 21282346737 26011757123 42564693474 52023514246 78035271369 101682323299 156070542738 203364646598 234105814107 305046969897 468211628214 610093939794 915140909691 1118505556289 1830281819382 2237011112578 3355516668867 6711033337734 10066550006601 20133100013202