Search a number
-
+
41122433100 = 22352731631681
BaseRepresentation
bin100110010011000101…
…101000100001001100
310221010220010001020210
4212103011220201030
51133204320324400
630520312242420
72654023625340
oct462305504114
9127126101223
1041122433100
11164925a5701
127b779a0410
133b54788c68
141dc16a9620
15110a2ee950
hex99316884c

41122433100 has 144 divisors (see below), whose sum is σ = 140364793856. Its totient is φ = 9096192000.

The previous prime is 41122433071. The next prime is 41122433119. The reversal of 41122433100 is 133422114.

It is a super-2 number, since 2×411224331002 (a number of 22 digits) contains 22 as substring.

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

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, 250741 + ... + 380940.

Almost surely, 241122433100 is an apocalyptic number.

It is an amenable number.

41122433100 is an abundant number, since it is smaller than the sum of its proper divisors (99242360756).

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

41122433100 is a wasteful number, since it uses less digits than its factorization.

41122433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631736 (or 631729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41122433100 its reverse (133422114), we get a palindrome (41255855214).

The spelling of 41122433100 in words is "forty-one billion, one hundred twenty-two million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2604 3100 3255 4340 4650 5425 6510 9300 10850 13020 16275 21700 32550 65100 631681 1263362 1895043 2526724 3158405 3790086 4421767 6316810 7580172 8843534 9475215 12633620 13265301 15792025 17687068 18950430 19582111 22108835 26530602 31584050 37900860 39164222 44217670 47376075 53061204 58746333 63168100 66326505 78328444 88435340 94752150 97910555 110544175 117492666 132653010 137074777 189504300 195821110 221088350 234985332 265306020 274149554 293731665 331632525 391642220 411224331 442176700 489552775 548299108 587463330 663265050 685373885 822448662 979105550 1174926660 1326530100 1370747770 1468658325 1644897324 1958211100 2056121655 2741495540 2937316650 3426869425 4112243310 5874633300 6853738850 8224486620 10280608275 13707477700 20561216550 41122433100