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20123133213213 = 356783103144577
BaseRepresentation
bin1001001001101010010000…
…01101001111101000011101
32122020202022202022211200000
410210311020031033220131
510114144134100310323
6110444234554124513
74144564000042452
oct444651015175035
978222282284600
1020123133213213
11645919a0a9668
12230bbb8720739
13b2c7ac654804
144d7d71765829
1524d6aee45e43
hex124d4834fa1d

20123133213213 has 96 divisors (see below), whose sum is σ = 31262602914816. Its totient is φ = 12929126335488.

The previous prime is 20123133213193. The next prime is 20123133213223. The reversal of 20123133213213 is 31231233132102.

20123133213213 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 1 + 332 + 1 + 321 + 3 = 666.

It is not a de Polignac number, because 20123133213213 - 28 = 20123133212957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123133213223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139113981 + ... + 139258557.

It is an arithmetic number, because the mean of its divisors is an integer number (325652113696).

Almost surely, 220123133213213 is an apocalyptic number.

It is an amenable number.

20123133213213 is a deficient number, since it is larger than the sum of its proper divisors (11139469701603).

20123133213213 is a wasteful number, since it uses less digits than its factorization.

20123133213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144845 (or 144833 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20123133213213 its reverse (31231233132102), we get a palindrome (51354366345315).

The spelling of 20123133213213 in words is "twenty trillion, one hundred twenty-three billion, one hundred thirty-three million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 27 67 81 83 103 201 243 249 309 603 747 927 1809 2241 2781 5427 5561 6723 6901 8343 8549 16281 16683 20169 20703 25029 25647 50049 62109 76941 144577 150147 186327 230823 433731 450441 558981 572783 692469 1301193 1351323 1676943 1718349 2077407 3903579 5155047 9686659 11710737 11999891 14891431 15465141 29059977 35132211 35999673 44674293 46395423 87179931 107999019 134022879 139186269 261539793 323997057 402068637 784619379 803992697 971991171 997725877 1206205911 1235988773 2353858137 2411978091 2915973513 2993177631 3618617733 3707966319 7235934273 8979532893 11123898957 21707802819 26938598679 33371696871 65123408457 80815796037 82811247791 100115090613 195370225371 242447388111 248433743373 300345271839 745301230119 2235903690357 6707711071071 20123133213213