Search a number
-
+
2413221314100 = 2235218014466447
BaseRepresentation
bin100011000111011111001…
…100101111111000110100
322112200221112122120021220
4203013133030233320310
5304014234124022400
65044341335510340
7336230605502232
oct43073714577064
98480845576256
102413221314100
11850494579153
1232b846b283b0
13146748081c9c
1484b2c94b952
1542b904927a0
hex231df32fe34

2413221314100 has 72 divisors (see below), whose sum is σ = 6986132108928. Its totient is φ = 643168224000.

The previous prime is 2413221314083. The next prime is 2413221314111. The reversal of 2413221314100 is 14131223142.

It is a super-2 number, since 2×24132213141002 (a number of 26 digits) contains 22 as substring.

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, 1692924 + ... + 2773523.

It is an arithmetic number, because the mean of its divisors is an integer number (97029612624).

Almost surely, 22413221314100 is an apocalyptic number.

2413221314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413221314100 is an abundant number, since it is smaller than the sum of its proper divisors (4572910794828).

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

2413221314100 is a wasteful number, since it uses less digits than its factorization.

2413221314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468265 (or 4468258 counting only the distinct ones).

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

Adding to 2413221314100 its reverse (14131223142), we get a palindrome (2427352537242).

The spelling of 2413221314100 in words is "two trillion, four hundred thirteen billion, two hundred twenty-one million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1801 3602 5403 7204 9005 10806 18010 21612 27015 36020 45025 54030 90050 108060 135075 180100 270150 540300 4466447 8932894 13399341 17865788 22332235 26798682 44664470 53597364 66996705 89328940 111661175 133993410 223322350 267986820 334983525 446644700 669967050 1339934100 8044071047 16088142094 24132213141 32176284188 40220355235 48264426282 80440710470 96528852564 120661065705 160881420940 201101776175 241322131410 402203552350 482644262820 603305328525 804407104700 1206610657050 2413221314100