Search a number
-
+
312000110100300 = 223524722127667383
BaseRepresentation
bin100011011110000110010111…
…1101110110111111101001100
31111220200220211010012100212110
41012330030233232313331030
5311343302211141202200
63023322512154104020
7122501156403362526
oct10674145756677514
91456626733170773
10312000110100300
119045a55a364306
122abab86571b010
131051263a8635bb
145708c58cb4a16
152610c8b27bb50
hex11bc32fbb7f4c

312000110100300 has 72 divisors (see below), whose sum is σ = 921927133886976. Its totient is φ = 81429815965760.

The previous prime is 312000110100277. The next prime is 312000110100331. The reversal of 312000110100300 is 3001011000213.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11063819592 + ... + 11063847791.

It is an arithmetic number, because the mean of its divisors is an integer number (12804543526208).

Almost surely, 2312000110100300 is an apocalyptic number.

312000110100300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312000110100300 is an abundant number, since it is smaller than the sum of its proper divisors (609927023786676).

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

312000110100300 is a wasteful number, since it uses less digits than its factorization.

312000110100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22127667447 (or 22127667440 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 312000110100300 its reverse (3001011000213), we get a palindrome (315001121100513).

The spelling of 312000110100300 in words is "three hundred twelve trillion, one hundred ten million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 22127667383 44255334766 66383002149 88510669532 110638336915 132766004298 221276673830 265532008596 331915010745 442553347660 553191684575 663830021490 1040000367001 1106383369150 1327660042980 1659575053725 2080000734002 2212766738300 3120001101003 3319150107450 4160001468004 5200001835005 6240002202006 6638300214900 10400003670010 12480004404012 15600005505015 20800007340020 26000009175025 31200011010030 52000018350050 62400022020060 78000027525075 104000036700100 156000055050150 312000110100300