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21278932101 = 3273764314197
BaseRepresentation
bin10011110100010100…
…101011110010000101
32000220222001202021100
4103310110223302011
5322034401311401
613435253210313
71352211636630
oct236424536205
960828052240
1021278932101
11902a4476a9
12415a330999
1320116473ab
14105c0c0c17
15848198b86
hex4f452bc85

21278932101 has 48 divisors (see below), whose sum is σ = 36135159424. Its totient is φ = 11811526272.

The previous prime is 21278932061. The next prime is 21278932111. The reversal of 21278932101 is 10123987212.

It is not a de Polignac number, because 21278932101 - 217 = 21278801029 is a prime.

It is a super-3 number, since 3×212789321013 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21278932111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491735 + ... + 1505931.

Almost surely, 221278932101 is an apocalyptic number.

21278932101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21278932101 is a deficient number, since it is larger than the sum of its proper divisors (14856227323).

21278932101 is a wasteful number, since it uses less digits than its factorization.

21278932101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890 (or 14887 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 21278932101 in words is "twenty-one billion, two hundred seventy-eight million, nine hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 37 63 111 259 333 643 777 1929 2331 4501 5787 13503 14197 23791 40509 42591 71373 99379 127773 166537 214119 298137 499611 525289 894411 1498833 1575867 3677023 4727601 9128671 11031069 27386013 33093207 63900697 82158039 191702091 337760827 575106273 1013282481 2364325789 3039847443 7092977367 21278932101