Search a number
-
+
107510151420 = 2234579480613
BaseRepresentation
bin110010000100000011…
…0101011100011111100
3101021111120022120020000
41210020012223203330
53230140044321140
6121220043354300
710524126131460
oct1441006534374
9337446276200
10107510151420
114165a750011
1218a04b22990
13a1a4713219
1452bc6564a0
152be3724a30
hex19081ab8fc

107510151420 has 120 divisors (see below), whose sum is σ = 385443842784. Its totient is φ = 24573746304.

The previous prime is 107510151319. The next prime is 107510151433. The reversal of 107510151420 is 24151015701.

107510151420 is a `hidden beast` number, since 1 + 0 + 7 + 510 + 1 + 5 + 142 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4728967 + ... + 4751646.

Almost surely, 2107510151420 is an apocalyptic number.

107510151420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107510151420 is an abundant number, since it is smaller than the sum of its proper divisors (277933691364).

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

107510151420 is a wasteful number, since it uses less digits than its factorization.

107510151420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9480641 (or 9480630 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The spelling of 107510151420 in words is "one hundred seven billion, five hundred ten million, one hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 9480613 18961226 28441839 37922452 47403065 56883678 66364291 85325517 94806130 113767356 132728582 142209195 170651034 189612260 199092873 255976551 265457164 284418390 331821455 341302068 398185746 426627585 511953102 568836780 597278619 663642910 767929653 796371492 853255170 995464365 1023906204 1194557238 1279882755 1327285820 1535859306 1706510340 1791835857 1990928730 2389114476 2559765510 2986393095 3071718612 3583671714 3839648265 3981857460 5119531020 5375507571 5972786190 7167343428 7679296530 8959179285 10751015142 11945572380 15358593060 17918358570 21502030284 26877537855 35836717140 53755075710 107510151420