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21000001331331 = 32112379426111941
BaseRepresentation
bin1001100011001011100011…
…00111101010000010000011
32202100120200012101120101100
410301211301213222002003
510223031000320100311
6112355133433105443
74265125416054231
oct461456147520203
982316605346340
1021000001331331
116767061312200
122431b35b58283
13b943a3927539
1452859692d951
152663d17b1a56
hex1319719ea083

21000001331331 has 72 divisors (see below), whose sum is σ = 33440218164080. Its totient is φ = 12689650512000.

The previous prime is 21000001331293. The next prime is 21000001331389. The reversal of 21000001331331 is 13313310000012.

It is a happy number.

21000001331331 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 0 + 0 + 0 + 1 + 331 + 331 = 666.

It is not a de Polignac number, because 21000001331331 - 210 = 21000001330307 is a prime.

It is a super-2 number, since 2×210000013313312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21000001331531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1758640821 + ... + 1758652761.

Almost surely, 221000001331331 is an apocalyptic number.

21000001331331 is a deficient number, since it is larger than the sum of its proper divisors (12440216832749).

21000001331331 is a wasteful number, since it uses less digits than its factorization.

21000001331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16609 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21000001331331 its reverse (13313310000012), we get a palindrome (34313311331343).

The spelling of 21000001331331 in words is "twenty-one trillion, one million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 379 1089 1137 3411 4169 4261 11941 12507 12783 35823 37521 38349 45859 46871 107469 131351 137577 140613 394053 412731 421839 515581 1182159 1444861 1546743 1614919 4334583 4525639 4640229 4844757 13003749 13576917 14534271 17764109 40730751 49782029 50880601 53292327 149346087 152641803 159876981 195405199 448038261 457925409 547602319 559686611 586215597 1642806957 1679059833 1758646791 4928420871 5037179499 6156552721 18469658163 19283747779 55408974489 57851243337 173553730011 212121225569 636363676707 1909091030121 2333333481259 7000000443777 21000001331331