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1012103211321 = 33827137333013
BaseRepresentation
bin11101011101001100000…
…11010110100100111001
310120202102012202021011000
432232212003112210321
5113040241410230241
62052542004155213
7133056601231266
oct16564603264471
93522365667130
101012103211321
11360259971784
1214419b398b09
1374596929747
1436db3a5026d
151b4d90c2eb6
hexeba60d6939

1012103211321 has 32 divisors (see below), whose sum is σ = 1502364136320. Its totient is φ = 673408354752.

The previous prime is 1012103211271. The next prime is 1012103211337. The reversal of 1012103211321 is 1231123012101.

1012103211321 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 0 + 321 + 1 + 321 = 666.

It is not a de Polignac number, because 1012103211321 - 27 = 1012103211193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012103211294 and 1012103211303.

It is not an unprimeable number, because it can be changed into a prime (1012103211521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30641211 + ... + 30674223.

It is an arithmetic number, because the mean of its divisors is an integer number (46948879260).

Almost surely, 21012103211321 is an apocalyptic number.

It is an amenable number.

1012103211321 is a deficient number, since it is larger than the sum of its proper divisors (490260924999).

1012103211321 is a wasteful number, since it uses less digits than its factorization.

1012103211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35222 (or 35216 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012103211321 its reverse (1231123012101), we get a palindrome (2243226223422).

The spelling of 1012103211321 in words is "one trillion, twelve billion, one hundred three million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 27 827 1373 2481 4119 7443 12357 22329 33013 37071 99039 297117 891351 1135471 3406413 10219239 27301751 30657717 45326849 81905253 135980547 245715759 407941641 737147277 1223824923 37485304123 112455912369 337367737107 1012103211321