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1211413086 = 2321323921661
BaseRepresentation
bin100100000110100…
…1011001001011110
310010102111011100100
41020031023021132
54440110204321
6320112441530
742006561402
oct11015131136
93112434310
101211413086
115718a1644
122998492a6
13163c8c2a0
14b6c61102
1571542326
hex4834b25e

1211413086 has 48 divisors (see below), whose sum is σ = 2838588480. Its totient is φ = 371165760.

The previous prime is 1211413067. The next prime is 1211413117. The reversal of 1211413086 is 6803141121.

It is a happy number.

It is a super-3 number, since 3×12114130863 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45096 + ... + 66756.

It is an arithmetic number, because the mean of its divisors is an integer number (59137260).

Almost surely, 21211413086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211413086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419294240).

1211413086 is an abundant number, since it is smaller than the sum of its proper divisors (1627175394).

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

1211413086 is a wasteful number, since it uses less digits than its factorization.

1211413086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21921 (or 21918 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1211413086 is about 34805.3600182501. The cubic root of 1211413086 is about 1066.0168929125.

It can be divided in two parts, 12114 and 13086, that added together give a triangular number (25200 = T224).

The spelling of 1211413086 in words is "one billion, two hundred eleven million, four hundred thirteen thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 239 478 717 1434 2151 3107 4302 6214 9321 18642 21661 27963 43322 55926 64983 129966 194949 281593 389898 563186 844779 1689558 2534337 5068674 5176979 10353958 15530937 31061874 46592811 67300727 93185622 134601454 201902181 403804362 605706543 1211413086