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21202002120 = 23351313591027
BaseRepresentation
bin10011101111101111…
…001110000011001000
32000201121022022011210
4103233233032003020
5321410203031440
613423504253120
71350256021155
oct235757160310
960647268153
1021202002120
118a9aa83002
1241386111a0
131ccb7204b0
141051bb722c
1584154ea80
hex4efbce0c8

21202002120 has 64 divisors (see below), whose sum is σ = 68498781120. Its totient is φ = 5218953984.

The previous prime is 21202002119. The next prime is 21202002121. The reversal of 21202002120 is 2120020212.

It is an interprime number because it is at equal distance from previous prime (21202002119) and next prime (21202002121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21202002096 and 21202002105.

It is not an unprimeable number, because it can be changed into a prime (21202002121) by changing a digit.

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, 6793954 + ... + 6797073.

It is an arithmetic number, because the mean of its divisors is an integer number (1070293455).

Almost surely, 221202002120 is an apocalyptic number.

21202002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202002120 is an abundant number, since it is smaller than the sum of its proper divisors (47296779000).

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

21202002120 is a wasteful number, since it uses less digits than its factorization.

21202002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13591054 (or 13591050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21202002120 its reverse (2120020212), we get a palindrome (23322022332).

The spelling of 21202002120 in words is "twenty-one billion, two hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 13591027 27182054 40773081 54364108 67955135 81546162 108728216 135910270 163092324 176683351 203865405 271820540 326184648 353366702 407730810 530050053 543641080 706733404 815461620 883416755 1060100106 1413466808 1630923240 1766833510 2120200212 2650250265 3533667020 4240400424 5300500530 7067334040 10601001060 21202002120