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214235154120 = 233513980314009
BaseRepresentation
bin1100011110000101101…
…0010000011011001000
3202110222102020102212210
43013201122100123020
512002223144412440
6242230202505120
721322642523031
oct3074132203310
9673872212783
10214235154120
1182947183189
123562ab051a0
13172825732b0
14a5248cba88
15588d057a80
hex31e16906c8

214235154120 has 128 divisors (see below), whose sum is σ = 692264361600. Its totient is φ = 52725663744.

The previous prime is 214235154083. The next prime is 214235154121. The reversal of 214235154120 is 21451532412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214235154121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15285676 + ... + 15299684.

It is an arithmetic number, because the mean of its divisors is an integer number (5408315325).

Almost surely, 2214235154120 is an apocalyptic number.

214235154120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214235154120 is an abundant number, since it is smaller than the sum of its proper divisors (478029207480).

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

214235154120 is a wasteful number, since it uses less digits than its factorization.

214235154120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23839 (or 23835 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 214235154120 its reverse (21451532412), we get a palindrome (235686686532).

The spelling of 214235154120 in words is "two hundred fourteen billion, two hundred thirty-five million, one hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 9803 14009 19606 28018 29409 39212 42027 49015 56036 58818 70045 78424 84054 98030 112072 117636 127439 140090 147045 168108 182117 196060 210135 235272 254878 280180 294090 336216 364234 382317 392120 420270 509756 546351 560360 588180 637195 728468 764634 840540 910585 1019512 1092702 1176360 1274390 1456936 1529268 1681080 1821170 1911585 2185404 2548780 2731755 3058536 3642340 3823170 4370808 5097560 5463510 7284680 7646340 10927020 15292680 21854040 137330227 274660454 411990681 549320908 686651135 823981362 1098641816 1373302270 1647962724 1785292951 2059953405 2746604540 3295925448 3570585902 4119906810 5355878853 5493209080 7141171804 8239813620 8926464755 10711757706 14282343608 16479627240 17852929510 21423515412 26779394265 35705859020 42847030824 53558788530 71411718040 107117577060 214235154120