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21134031435 = 3351167311683
BaseRepresentation
bin10011101011101011…
…111011101001001011
32000112212102000221000
4103223223323221023
5321240303001220
613413035350043
71345502205666
oct235353735113
960485360830
1021134031435
118a65678690
1241198b2323
131cba61255a
141046b626dd
1583a5c5390
hex4ebafba4b

21134031435 has 128 divisors (see below), whose sum is σ = 41793822720. Its totient is φ = 10046678400.

The previous prime is 21134031383. The next prime is 21134031439. The reversal of 21134031435 is 53413043112.

It is a happy number.

21134031435 is a `hidden beast` number, since 2 + 1 + 1 + 340 + 314 + 3 + 5 = 666.

It is not a de Polignac number, because 21134031435 - 27 = 21134031307 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 21134031399 and 21134031408.

It is not an unprimeable number, because it can be changed into a prime (21134031439) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30942604 + ... + 30943286.

It is an arithmetic number, because the mean of its divisors is an integer number (326514240).

Almost surely, 221134031435 is an apocalyptic number.

21134031435 is a deficient number, since it is larger than the sum of its proper divisors (20659791285).

21134031435 is a wasteful number, since it uses less digits than its factorization.

21134031435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 21134031435 its reverse (53413043112), we get a palindrome (74547074547).

The spelling of 21134031435 in words is "twenty-one billion, one hundred thirty-four million, thirty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 67 99 135 165 201 297 311 335 495 603 683 737 933 1005 1485 1555 1809 2049 2211 2799 3015 3415 3421 3685 4665 6147 6633 7513 8397 9045 10245 10263 11055 13995 17105 18441 19899 20837 22539 30735 30789 33165 37565 41985 45761 51315 62511 67617 92205 92367 99495 104185 112695 137283 153945 187533 202851 212413 228805 229207 312555 338085 411849 461835 503371 562599 637239 686415 687621 937665 1014255 1062065 1146035 1235547 1510113 1911717 2059245 2062863 2336543 2516855 2812995 3186195 3438105 4530339 5735151 6177735 6188589 7009629 7550565 9558585 10314315 11682715 13591017 14231671 21028887 22651695 28675755 30942945 35048145 42695013 63086661 67955085 71158355 105144435 128085039 156548381 213475065 315433305 384255117 469645143 640425195 782741905 1408935429 1921275585 2348225715 4226806287 7044677145 21134031435