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1111020120021 = 3719210311091283
BaseRepresentation
bin10000001010101101111…
…101011010011111010101
310221012201220100212110010
4100022231331122133111
5121200332122320041
62210221240550433
7143161054126230
oct20125575323725
93835656325403
101111020120021
113991a99912a9
1215b3a6482419
13809cbc28856
143bab8cd4417
151dd781b6a16
hex102adf5a7d5

1111020120021 has 96 divisors (see below), whose sum is σ = 1807158712320. Its totient is φ = 594614245248.

The previous prime is 1111020119977. The next prime is 1111020120031. The reversal of 1111020120021 is 1200210201111.

It is not a de Polignac number, because 1111020120021 - 210 = 1111020118997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111020119979 and 1111020120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111020120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865954246 + ... + 865955528.

It is an arithmetic number, because the mean of its divisors is an integer number (18824569920).

Almost surely, 21111020120021 is an apocalyptic number.

It is an amenable number.

1111020120021 is a deficient number, since it is larger than the sum of its proper divisors (696138592299).

1111020120021 is a wasteful number, since it uses less digits than its factorization.

1111020120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1111020120021 its reverse (1200210201111), we get a palindrome (2311230321132).

The spelling of 1111020120021 in words is "one trillion, one hundred eleven billion, twenty million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 19 21 57 103 133 309 361 399 721 1083 1109 1283 1957 2163 2527 3327 3849 5871 7581 7763 8981 13699 21071 23289 24377 26943 37183 41097 63213 73131 111549 114227 132149 147497 170639 260281 342681 396447 400349 442491 463163 511917 780843 799589 925043 1201047 1389489 1422847 2170313 2398767 2510831 2775129 2802443 3242141 4268541 6510939 7532493 8407329 9726423 9959929 15192191 17575817 27034093 29879787 41235947 45576573 47705789 52727451 81102279 123707841 143117367 146553241 189238651 288651629 333940523 439659723 513647767 567715953 865954887 1001821569 1025872687 1540943301 2784511579 3077618061 3595534369 8353534737 10786603107 19491581053 52905720001 58474743159 158717160003 370340040007 1111020120021