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112300320040 = 23519155994781
BaseRepresentation
bin110100010010110011…
…1101110010100101000
3101201212101212100020121
41220211213232110220
53314442340220130
6123331241333024
711053622653606
oct1504547562450
9351771770217
10112300320040
114369866a657
1219921197174
13a788c5491c
1456148d6876
152dc402dd7a
hex1a259ee528

112300320040 has 64 divisors (see below), whose sum is σ = 266147856000. Its totient is φ = 42528165120.

The previous prime is 112300320037. The next prime is 112300320047. The reversal of 112300320040 is 40023003211.

It is a happy number.

It is a super-2 number, since 2×1123003200402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112300319996 and 112300320023.

It is not an unprimeable number, because it can be changed into a prime (112300320047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137450 + ... + 1232230.

It is an arithmetic number, because the mean of its divisors is an integer number (4158560250).

Almost surely, 2112300320040 is an apocalyptic number.

112300320040 is a gapful number since it is divisible by the number (10) 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 112300320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133073928000).

112300320040 is an abundant number, since it is smaller than the sum of its proper divisors (153847535960).

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

112300320040 is a wasteful number, since it uses less digits than its factorization.

112300320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96370 (or 96366 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 112300320040 its reverse (40023003211), we get a palindrome (152323323251).

The spelling of 112300320040 in words is "one hundred twelve billion, three hundred million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1559 3118 6236 7795 12472 15590 29621 31180 59242 62360 94781 118484 148105 189562 236968 296210 379124 473905 592420 758248 947810 1184840 1800839 1895620 3601678 3791240 7203356 9004195 14406712 18008390 36016780 72033560 147763579 295527158 591054316 738817895 1182108632 1477635790 2807508001 2955271580 5615016002 5910543160 11230032004 14037540005 22460064008 28075080010 56150160020 112300320040