Search a number
-
+
1100465455452 = 2231167388314029
BaseRepresentation
bin10000000000111000110…
…110100100000101011100
310220012111022220100120120
4100000320312210011130
5121012223124033302
62201314041514540
7142335363014346
oct20007066440534
93805438810516
101100465455452
11394783073620
1215933b7a2a50
137ca093569bc
143b39722a296
151d95b7939bc
hex10038da415c

1100465455452 has 96 divisors (see below), whose sum is σ = 2808724289280. Its totient is φ = 332578068480.

The previous prime is 1100465455421. The next prime is 1100465455457. The reversal of 1100465455452 is 2545545640011.

It is a happy number.

It is a super-2 number, since 2×11004654554522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100465455457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78435174 + ... + 78449202.

It is an arithmetic number, because the mean of its divisors is an integer number (29257544680).

Almost surely, 21100465455452 is an apocalyptic number.

1100465455452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100465455452 is an abundant number, since it is smaller than the sum of its proper divisors (1708258833828).

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

1100465455452 is a wasteful number, since it uses less digits than its factorization.

1100465455452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15603 (or 15601 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

It can be divided in two parts, 11004 and 65455452, that added together give a palindrome (65466456).

The spelling of 1100465455452 in words is "one trillion, one hundred billion, four hundred sixty-five million, four hundred fifty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 673 883 1346 1766 2019 2649 2692 3532 4038 5298 7403 8076 9713 10596 14029 14806 19426 22209 28058 29139 29612 38852 42087 44418 56116 58278 84174 88836 116556 154319 168348 308638 462957 594259 617276 925914 1188518 1782777 1851828 2377036 3565554 6536849 7131108 9441517 12387607 13073698 18883034 19610547 24775214 26147396 28324551 37162821 37766068 39221094 49550428 56649102 74325642 78442188 103856687 113298204 136263677 148651284 207713374 272527354 311570061 408791031 415426748 545054708 623140122 817582062 1246280244 1635164124 8336859511 16673719022 25010578533 33347438044 50021157066 91705454621 100042314132 183410909242 275116363863 366821818484 550232727726 1100465455452