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113012423040 = 2735115350967
BaseRepresentation
bin110100101000000010…
…0001011100110000000
3101210201000210220220210
41221100010023212000
53322422140014130
6123530040234120
711110360513626
oct1512004134600
9353630726823
10113012423040
1143a23626130
1219a9b76b940
13a870640b4a
145681301516
152e167e25b0
hex1a5010b980

113012423040 has 128 divisors (see below), whose sum is σ = 392975089920. Its totient is φ = 27396945920.

The previous prime is 113012423011. The next prime is 113012423059. The reversal of 113012423040 is 40324210311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1130124230402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113012422998 and 113012423016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2654364 + ... + 2696603.

It is an arithmetic number, because the mean of its divisors is an integer number (3070117890).

Almost surely, 2113012423040 is an apocalyptic number.

113012423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113012423040 is an abundant number, since it is smaller than the sum of its proper divisors (279962666880).

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

113012423040 is a wasteful number, since it uses less digits than its factorization.

113012423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351000 (or 5350988 counting only the distinct ones).

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

Adding to 113012423040 its reverse (40324210311), we get a palindrome (153336633351).

The spelling of 113012423040 in words is "one hundred thirteen billion, twelve million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 5350967 10701934 16052901 21403868 26754835 32105802 42807736 53509670 58860637 64211604 80264505 85615472 107019340 117721274 128423208 160529010 171230944 176581911 214038680 235442548 256846416 294303185 321058020 342461888 353163822 428077360 470885096 513692832 588606370 642116040 684923776 706327644 856154720 882909555 941770192 1027385664 1177212740 1284232080 1412655288 1712309440 1765819110 1883540384 2054771328 2354425480 2568464160 2825310576 3424618880 3531638220 3767080768 4708850960 5136928320 5650621152 7063276440 7534161536 9417701920 10273856640 11301242304 14126552880 18835403840 22602484608 28253105760 37670807680 56506211520 113012423040