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1141530210 = 232561337617
BaseRepresentation
bin100010000001010…
…0101111001100010
32221112222202001200
41010002211321202
54314212431320
6305134542030
740200563262
oct10402457142
92845882050
101141530210
115364005a7
1227a367916
13152661b82
14ab86d7a2
156a33b290
hex440a5e62

1141530210 has 96 divisors (see below), whose sum is σ = 3030489072. Its totient is φ = 298045440.

The previous prime is 1141530209. The next prime is 1141530211. The reversal of 1141530210 is 120351411.

1141530210 is a `hidden beast` number, since 11 + 415 + 30 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (1141530209) and next prime (1141530211).

It can be written as a sum of positive squares in 8 ways, for example, as 239121 + 1141291089 = 489^2 + 33783^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1141530211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1849822 + ... + 1850438.

Almost surely, 21141530210 is an apocalyptic number.

1141530210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141530210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515244536).

1141530210 is an abundant number, since it is smaller than the sum of its proper divisors (1888958862).

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

1141530210 is a wasteful number, since it uses less digits than its factorization.

1141530210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1141530210 is about 33786.5388875511. The cubic root of 1141530210 is about 1045.1111226962. Note that the first 4 decimals are identical.

Adding to 1141530210 its reverse (120351411), we get a palindrome (1261881621).

The spelling of 1141530210 in words is "one billion, one hundred forty-one million, five hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 337 366 549 610 617 674 915 1011 1098 1234 1685 1830 1851 2022 2745 3033 3085 3370 3702 5055 5490 5553 6066 6170 9255 10110 11106 15165 18510 20557 27765 30330 37637 41114 55530 61671 75274 102785 112911 123342 185013 188185 205570 207929 225822 308355 338733 370026 376370 415858 564555 616710 623787 677466 925065 1039645 1129110 1247574 1693665 1850130 1871361 2079290 3118935 3387330 3742722 6237870 9356805 12683669 18713610 25367338 38051007 63418345 76102014 114153021 126836690 190255035 228306042 380510070 570765105 1141530210