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114010303120 = 24572151192611
BaseRepresentation
bin110101000101110001…
…0110010101010010000
3101220021120111111001021
41222023202302222100
53331443114144440
6124213044245224
711144165405200
oct1521342625220
9356246444037
10114010303120
114439593120a
121a1199a0814
13a99c2b812c
145737a5a400
152e7420584a
hex1a8b8b2a90

114010303120 has 120 divisors (see below), whose sum is σ = 310395008448. Its totient is φ = 38830176000.

The previous prime is 114010303081. The next prime is 114010303133. The reversal of 114010303120 is 21303010411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 114010303094 and 114010303103.

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, 495615 + ... + 688225.

Almost surely, 2114010303120 is an apocalyptic number.

114010303120 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 114010303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155197504224).

114010303120 is an abundant number, since it is smaller than the sum of its proper divisors (196384705328).

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

114010303120 is a wasteful number, since it uses less digits than its factorization.

114010303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192789 (or 192776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 114010303120 its reverse (21303010411), we get a palindrome (135313313531).

The spelling of 114010303120 in words is "one hundred fourteen billion, ten million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 151 196 245 280 302 392 490 560 604 755 784 980 1057 1208 1510 1960 2114 2416 3020 3920 4228 5285 6040 7399 8456 10570 12080 14798 16912 21140 29596 36995 42280 59192 73990 84560 118384 147980 192611 295960 385222 591920 770444 963055 1348277 1540888 1926110 2696554 3081776 3852220 5393108 6741385 7704440 9437939 10786216 13482770 15408880 18875878 21572432 26965540 29084261 37751756 47189695 53931080 58168522 75503512 94379390 107862160 116337044 145421305 151007024 188758780 203589827 232674088 290842610 377517560 407179654 465348176 581685220 755035120 814359308 1017949135 1163370440 1425128789 1628718616 2035898270 2326740880 2850257578 3257437232 4071796540 5700515156 7125643945 8143593080 11401030312 14251287890 16287186160 22802060624 28502575780 57005151560 114010303120