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2101723344 = 243278325121
BaseRepresentation
bin111110101000101…
…1100000011010000
312102110202121102100
41331101130003100
513301020121334
6544315120400
7103040232210
oct17521340320
95373677370
102101723344
11989405946
124a7a43100
132765723a6
1415d1b8240
15c47a7c99
hex7d45c0d0

2101723344 has 120 divisors (see below), whose sum is σ = 6803439552. Its totient is φ = 593233920.

The previous prime is 2101723339. The next prime is 2101723367. The reversal of 2101723344 is 4433271012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71104 + ... + 96224.

Almost surely, 22101723344 is an apocalyptic number.

2101723344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101723344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401719776).

2101723344 is an abundant number, since it is smaller than the sum of its proper divisors (4701716208).

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

2101723344 is a wasteful number, since it uses less digits than its factorization.

2101723344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25225 (or 25216 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2101723344 is about 45844.5563180625. The cubic root of 2101723344 is about 1280.9293673702.

Adding to 2101723344 its reverse (4433271012), we get a palindrome (6534994356).

The spelling of 2101723344 in words is "two billion, one hundred one million, seven hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1992 2324 2988 3486 3984 4648 5229 5976 6972 9296 10458 11952 13944 20916 25121 27888 41832 50242 75363 83664 100484 150726 175847 200968 226089 301452 351694 401936 452178 527541 602904 703388 904356 1055082 1205808 1406776 1582623 1808712 2085043 2110164 2813552 3165246 3617424 4170086 4220328 6255129 6330492 8340172 8440656 12510258 12660984 14595301 16680344 18765387 25020516 25321968 29190602 33360688 37530774 43785903 50041032 58381204 75061548 87571806 100082064 116762408 131357709 150123096 175143612 233524816 262715418 300246192 350287224 525430836 700574448 1050861672 2101723344