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10434223131220 = 2257863105182171
BaseRepresentation
bin1001011111010110100000…
…1010011100101001010100
31100221111112221122211010201
42113311220022130221110
52331423242110144340
634105225501430244
72124563530145140
oct227655012345124
940844487584121
1010434223131220
113363146a35439
12120628026b384
135a8c34a76065
1428103a574220
151316410b379a
hex97d6829ca54

10434223131220 has 96 divisors (see below), whose sum is σ = 25095313022976. Its totient is φ = 3569859216000.

The previous prime is 10434223131209. The next prime is 10434223131239. The reversal of 10434223131220 is 2213132243401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126940735 + ... + 127022905.

It is an arithmetic number, because the mean of its divisors is an integer number (261409510656).

Almost surely, 210434223131220 is an apocalyptic number.

10434223131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434223131220 is an abundant number, since it is smaller than the sum of its proper divisors (14661089891756).

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

10434223131220 is a wasteful number, since it uses less digits than its factorization.

10434223131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84101 (or 84099 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10434223131220 its reverse (2213132243401), we get a palindrome (12647355374621).

The spelling of 10434223131220 in words is "ten trillion, four hundred thirty-four billion, two hundred twenty-three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 863 1051 1726 2102 3452 4204 4315 5255 6041 7357 8630 10510 12082 14714 17260 21020 24164 29428 30205 36785 60410 73570 82171 120820 147140 164342 328684 410855 575197 821710 907013 1150394 1643420 1814026 2300788 2875985 3628052 4535065 5751970 6349091 9070130 11503940 12698182 18140260 25396364 31745455 63490910 70913573 86361721 126981820 141827146 172723442 283654292 345446884 354567865 431808605 496395011 604532047 709135730 863617210 992790022 1209064094 1418271460 1727234420 1985580044 2418128188 2481975055 3022660235 4963950110 6045320470 9927900220 12090640940 74530165223 149060330446 298120660892 372650826115 521711156561 745301652230 1043422313122 1490603304460 2086844626244 2608555782805 5217111565610 10434223131220