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21420135120 = 2435412176843
BaseRepresentation
bin10011111100101111…
…010101001011010000
32001021210202121101210
4103330233111023100
5322332023310440
613501255500120
71355545100346
oct237457251320
961253677353
1021420135120
1190a212060a
124199687640
132034986187
141072b59996
1585578ba80
hex4fcbd52d0

21420135120 has 80 divisors (see below), whose sum is σ = 68022021312. Its totient is φ = 5572715520.

The previous prime is 21420135101. The next prime is 21420135137. The reversal of 21420135120 is 2153102412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078582 + ... + 1098261.

Almost surely, 221420135120 is an apocalyptic number.

21420135120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21420135120 is an abundant number, since it is smaller than the sum of its proper divisors (46601886192).

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

21420135120 is a wasteful number, since it uses less digits than its factorization.

21420135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176900 (or 2176894 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 21420135120 its reverse (2153102412), we get a palindrome (23573237532).

The spelling of 21420135120 in words is "twenty-one billion, four hundred twenty million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 2176843 4353686 6530529 8707372 10884215 13061058 17414744 21768430 26122116 32652645 34829488 43536860 52244232 65305290 87073720 89250563 104488464 130610580 174147440 178501126 261221160 267751689 357002252 446252815 522442320 535503378 714004504 892505630 1071006756 1338758445 1428009008 1785011260 2142013512 2677516890 3570022520 4284027024 5355033780 7140045040 10710067560 21420135120