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31240111241100 = 223522813531049809
BaseRepresentation
bin1110001101001101001111…
…01110111011011110001100
311002121112012001210001001210
413012212213232323132030
513043314221434203400
6150235301534534420
76403011036124146
oct706464756733614
9132545161701053
1031240111241100
119a54947405283
123606662067410
131457c11b57738
147a005ab5bc96
15392961121950
hex1c69a7bbb78c

31240111241100 has 144 divisors (see below), whose sum is σ = 90966775566240. Its totient is φ = 8277526118400.

The previous prime is 31240111241093. The next prime is 31240111241111. The reversal of 31240111241100 is 114211104213.

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, 29232996 + ... + 30282804.

It is an arithmetic number, because the mean of its divisors is an integer number (631713719210).

Almost surely, 231240111241100 is an apocalyptic number.

31240111241100 is a gapful number since it is divisible by the number (30) 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 31240111241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45483387783120).

31240111241100 is an abundant number, since it is smaller than the sum of its proper divisors (59726664325140).

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

31240111241100 is a wasteful number, since it uses less digits than its factorization.

31240111241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050460 (or 1050453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 31240111241100 its reverse (114211104213), we get a palindrome (31354322345313).

The spelling of 31240111241100 in words is "thirty-one trillion, two hundred forty billion, one hundred eleven million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 281 300 353 562 706 843 1059 1124 1405 1412 1686 1765 2118 2810 3372 3530 4215 4236 5295 5620 7025 7060 8430 8825 10590 14050 16860 17650 21075 21180 26475 28100 35300 42150 52950 84300 99193 105900 198386 297579 396772 495965 595158 991930 1049809 1190316 1487895 1983860 2099618 2479825 2975790 3149427 4199236 4959650 5249045 5951580 6298854 7439475 9919300 10498090 12597708 14878950 15747135 20996180 26245225 29757900 31494270 52490450 62988540 78735675 104980900 157471350 294996329 314942700 370582577 589992658 741165154 884988987 1111747731 1179985316 1474981645 1482330308 1769977974 1852912885 2223495462 2949963290 3539955948 3705825770 4424944935 4446990924 5558738655 5899926580 7374908225 7411651540 8849889870 9264564425 11117477310 14749816450 17699779740 18529128850 22124724675 22234954620 27793693275 29499632900 37058257700 44249449350 55587386550 88498898700 104133704137 111174773100 208267408274 312401112411 416534816548 520668520685 624802224822 1041337041370 1249604449644 1562005562055 2082674082740 2603342603425 3124011124110 5206685206850 6248022248220 7810027810275 10413370413700 15620055620550 31240111241100