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1221130134 = 233722914107
BaseRepresentation
bin100100011001000…
…1111011110010110
310011002202211122000
41020302033132112
510000102131014
6321101020130
742155302110
oct11062173626
93132684560
101221130134
11577329164
122a0b54646
13165cb2113
14b82703b0
1572311509
hex48c8f796

1221130134 has 64 divisors (see below), whose sum is σ = 3115046400. Its totient is φ = 347346144.

The previous prime is 1221130121. The next prime is 1221130153. The reversal of 1221130134 is 4310311221.

1221130134 is digitally balanced in base 4, 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 Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79509 + ... + 93615.

It is an arithmetic number, because the mean of its divisors is an integer number (48672600).

Almost surely, 21221130134 is an apocalyptic number.

1221130134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221130134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557523200).

1221130134 is an abundant number, since it is smaller than the sum of its proper divisors (1893916266).

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

1221130134 is a wasteful number, since it uses less digits than its factorization.

1221130134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14354 (or 14348 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1221130134 is about 34944.6724694910. The cubic root of 1221130134 is about 1068.8595686989.

Adding to 1221130134 its reverse (4310311221), we get a palindrome (5531441355).

It can be divided in two parts, 122 and 1130134, that added together give a triangular number (1130256 = T1503).

The spelling of 1221130134 in words is "one billion, two hundred twenty-one million, one hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 229 378 458 687 1374 1603 2061 3206 4122 4809 6183 9618 12366 14107 14427 28214 28854 42321 43281 84642 86562 98749 126963 197498 253926 296247 380889 592494 761778 888741 1777482 2666223 3230503 5332446 6461006 9691509 19383018 22613521 29074527 45227042 58149054 67840563 87223581 135681126 174447162 203521689 407043378 610565067 1221130134