Search a number
-
+
2240102342100 = 2235273073474643
BaseRepresentation
bin100000100110010000100…
…000010001110111010100
321221011002120202120221010
4200212100200101313110
5243200212144421400
64433031103252220
7320561552511240
oct40462040216724
97834076676833
102240102342100
11794027411177
123021918aa070
13133318bb964c
147a5c897d420
153d40be02450
hex20990811dd4

2240102342100 has 144 divisors (see below), whose sum is σ = 7431401804288. Its totient is φ = 510355416960.

The previous prime is 2240102342099. The next prime is 2240102342117. The reversal of 2240102342100 is 12432010422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092622 + ... + 2382021.

Almost surely, 22240102342100 is an apocalyptic number.

2240102342100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240102342100 is an abundant number, since it is smaller than the sum of its proper divisors (5191299462188).

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

2240102342100 is a wasteful number, since it uses less digits than its factorization.

2240102342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474974 (or 3474967 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2240102342100 its reverse (12432010422), we get a palindrome (2252534352522).

The spelling of 2240102342100 in words is "two trillion, two hundred forty billion, one hundred two million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 307 350 420 525 614 700 921 1050 1228 1535 1842 2100 2149 3070 3684 4298 4605 6140 6447 7675 8596 9210 10745 12894 15350 18420 21490 23025 25788 30700 32235 42980 46050 53725 64470 92100 107450 128940 161175 214900 322350 644700 3474643 6949286 10423929 13898572 17373215 20847858 24322501 34746430 41695716 48645002 52119645 69492860 72967503 86866075 97290004 104239290 121612505 145935006 173732150 208478580 243225010 260598225 291870012 347464300 364837515 486450020 521196450 608062525 729675030 1042392900 1066715401 1216125050 1459350060 1824187575 2133430802 2432250100 3200146203 3648375150 4266861604 5333577005 6400292406 7296750300 7467007807 10667154010 12800584812 14934015614 16000731015 21334308020 22401023421 26667885025 29868031228 32001462030 37335039035 44802046842 53335770050 64002924060 74670078070 80003655075 89604093684 106671540100 112005117105 149340156140 160007310150 186675195175 224010234210 320014620300 373350390350 448020468420 560025585525 746700780700 1120051171050 2240102342100