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420524003251220 = 2251119331303939059
BaseRepresentation
bin101111110011101101101111…
…1110101010101010000010100
32001010221200221211021211120112
41133213123133311111100110
5420104331124313014340
64050214020553222152
7154401566552055101
oct13747333765252024
92033850854254515
10420524003251220
11111aa0256885030
123b1b8451a01958
131508532184668b
1475bb68292daa8
153393bdb02c065
hex17e76dfd55414

420524003251220 has 96 divisors (see below), whose sum is σ = 1017150300633600. Its totient is φ = 144431840361600.

The previous prime is 420524003251213. The next prime is 420524003251223. The reversal of 420524003251220 is 22152300425024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420524003251223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150585950 + ... + 153353109.

It is an arithmetic number, because the mean of its divisors is an integer number (10595315631600).

Almost surely, 2420524003251220 is an apocalyptic number.

It is an amenable number.

420524003251220 is an abundant number, since it is smaller than the sum of its proper divisors (596626297382380).

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

420524003251220 is a wasteful number, since it uses less digits than its factorization.

420524003251220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303939429 (or 303939427 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 420524003251220 its reverse (22152300425024), we get a palindrome (442676303676244).

The spelling of 420524003251220 in words is "four hundred twenty trillion, five hundred twenty-four billion, three million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 331 380 418 662 836 1045 1324 1655 2090 3310 3641 4180 6289 6620 7282 12578 14564 18205 25156 31445 36410 62890 69179 72820 125780 138358 276716 345895 691790 1383580 303939059 607878118 1215756236 1519695295 3039390590 3343329649 5774842121 6078781180 6686659298 11549684242 13373318596 16716648245 23099368484 28874210605 33433296490 57748421210 63523263331 66866592980 100603828529 115496842420 127046526662 201207657058 254093053324 317616316655 402415314116 503019142645 635232633310 1006038285290 1106642113819 1270465266620 1911472742051 2012076570580 2213284227638 3822945484102 4426568455276 5533210569095 7645890968204 9557363710255 11066421138190 19114727420510 21026200162561 22132842276380 38229454841020 42052400325122 84104800650244 105131000812805 210262001625610 420524003251220