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1011131221212 = 2232714969268049
BaseRepresentation
bin11101011011011000001…
…11100000010011011100
310120122220110210001101100
432231230013200103130
5113031244043034322
62052301323113100
7133023526400010
oct16555407402334
93518813701340
101011131221212
1135a90023a172
12143b69972790
1374470448778
1436d20914540
151b47dac5dac
hexeb6c1e04dc

1011131221212 has 72 divisors (see below), whose sum is σ = 2921251788000. Its totient is φ = 288874257408.

The previous prime is 1011131221171. The next prime is 1011131221213. The reversal of 1011131221212 is 2121221311101.

It is a happy number.

1011131221212 is a `hidden beast` number, since 10 + 111 + 312 + 21 + 212 = 666.

1011131221212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011131221213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3638164 + ... + 3906212.

It is an arithmetic number, because the mean of its divisors is an integer number (40572941500).

Almost surely, 21011131221212 is an apocalyptic number.

1011131221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011131221212 is an abundant number, since it is smaller than the sum of its proper divisors (1910120566788).

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

1011131221212 is a wasteful number, since it uses less digits than its factorization.

1011131221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283035 (or 283030 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1011131221212 its reverse (2121221311101), we get a palindrome (3132352532313).

The spelling of 1011131221212 in words is "one trillion, eleven billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 14969 29938 44907 59876 89814 104783 134721 179628 209566 268049 269442 314349 419132 536098 538884 628698 804147 943047 1072196 1257396 1608294 1876343 1886094 2412441 3216588 3752686 3772188 4824882 5629029 7505372 9649764 11258058 16887087 22516116 33774174 67548348 4012425481 8024850962 12037276443 16049701924 24074552886 28086978367 36111829329 48149105772 56173956734 72223658658 84260935101 112347913468 144447317316 168521870202 252782805303 337043740404 505565610606 1011131221212