Search a number
-
+
100244441214 = 2343740274153
BaseRepresentation
bin101110101011100001…
…0001100100001111110
3100120202012121020120000
41131113002030201332
53120300034104324
6114015054135130
710146102456051
oct1352702144176
9316665536500
10100244441214
1139571412435
12175177b14a6
1395b7356c08
144bcd6d0a98
15291a9219c9
hex175708c87e

100244441214 has 80 divisors (see below), whose sum is σ = 230805511728. Its totient is φ = 32495810688.

The previous prime is 100244441207. The next prime is 100244441221. The reversal of 100244441214 is 412144442001.

It is a happy number.

100244441214 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 4 + 441 + 214 = 666.

It is an interprime number because it is at equal distance from previous prime (100244441207) and next prime (100244441221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24135762 + ... + 24139914.

Almost surely, 2100244441214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100244441214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115402755864).

100244441214 is an abundant number, since it is smaller than the sum of its proper divisors (130561070514).

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

100244441214 is a wasteful number, since it uses less digits than its factorization.

100244441214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 100244441214 its reverse (412144442001), we get a palindrome (512388883215).

The spelling of 100244441214 in words is "one hundred billion, two hundred forty-four million, four hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 4027 4153 5994 8054 8306 12081 12459 24162 24918 36243 37377 72486 74754 108729 112131 148999 153661 217458 224262 297998 307322 326187 336393 446997 460983 652374 672786 893994 921966 1340991 1382949 2681982 2765898 4022973 4148847 8045946 8297694 12068919 12446541 16724131 24137838 24893082 33448262 50172393 100344786 150517179 301034358 451551537 618792847 903103074 1237585694 1354654611 1856378541 2709309222 3712757082 5569135623 11138271246 16707406869 33414813738 50122220607 100244441214