Search a number
-
+
1201312144230 = 2351137253138873
BaseRepresentation
bin10001011110110011110…
…010001001101101100110
311020211210111201221110220
4101132303302021231212
5124140241402103410
62315513012225210
7152535430513302
oct21366362115546
94224714657426
101201312144230
11423523429510
121749a500b206
138938b3b5503
14422028cad02
15213aeec9070
hex117b3c89b66

1201312144230 has 128 divisors (see below), whose sum is σ = 3231619877376. Its totient is φ = 283236940800.

The previous prime is 1201312144187. The next prime is 1201312144231. The reversal of 1201312144230 is 324412131021.

It is a self number, because there is not a number n which added to its sum of digits gives 1201312144230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201312144231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30884074 + ... + 30922946.

It is an arithmetic number, because the mean of its divisors is an integer number (25247030292).

Almost surely, 21201312144230 is an apocalyptic number.

1201312144230 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 1201312144230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615809938688).

1201312144230 is an abundant number, since it is smaller than the sum of its proper divisors (2030307733146).

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

1201312144230 is a wasteful number, since it uses less digits than its factorization.

1201312144230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41462.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1201312144230 its reverse (324412131021), we get a palindrome (1525724275251).

The spelling of 1201312144230 in words is "one trillion, two hundred one billion, three hundred twelve million, one hundred forty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 2531 4070 5062 6105 7593 12210 12655 15186 25310 27841 37965 38873 55682 75930 77746 83523 93647 116619 139205 167046 187294 194365 233238 278410 280941 388730 417615 427603 468235 561882 583095 835230 855206 936470 1030117 1166190 1282809 1404705 1438301 2060234 2138015 2565618 2809410 2876602 3090351 4276030 4314903 5150585 6180702 6414045 7191505 8629806 10301170 12828090 14383010 15451755 15821311 21574515 30903510 31642622 43149030 47463933 79106555 94927866 98387563 158213110 196775126 237319665 295162689 474639330 491937815 590325378 983875630 1082263193 1475813445 2164526386 2951626890 3246789579 3640339831 5411315965 6493579158 7280679662 10822631930 10921019493 16233947895 18201699155 21842038986 32467895790 36403398310 40043738141 54605097465 80087476282 109210194930 120131214423 200218690705 240262428846 400437381410 600656072115 1201312144230