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106284287110280 = 23517457615155603
BaseRepresentation
bin11000001010101000111101…
…001011011010110010001000
3111221022200022201012121101112
4120022220331023122302020
5102412330210000012110
61014014154421105452
731246533500212016
oct3012507513326210
9457280281177345
10106284287110280
1130957a05280254
12bb06734858288
13473c746b85256
141c36288d8b8b6
15c44a71735405
hex60aa3d2dac88

106284287110280 has 128 divisors (see below), whose sum is σ = 253806566503680. Its totient is φ = 39918143692800.

The previous prime is 106284287110277. The next prime is 106284287110289. The reversal of 106284287110280 is 82011782482601.

It is a super-2 number, since 2×1062842871102802 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106284287110289) 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, 1911456959 + ... + 1911512561.

It is an arithmetic number, because the mean of its divisors is an integer number (1982863800810).

Almost surely, 2106284287110280 is an apocalyptic number.

106284287110280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106284287110280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126903283251840).

106284287110280 is an abundant number, since it is smaller than the sum of its proper divisors (147522279393400).

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

106284287110280 is a wasteful number, since it uses less digits than its factorization.

106284287110280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62239 (or 62235 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 50.

The spelling of 106284287110280 in words is "one hundred six trillion, two hundred eighty-four billion, two hundred eighty-seven million, one hundred ten thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 457 680 914 1828 2285 3656 4570 6151 7769 9140 12302 15538 18280 24604 30755 31076 38845 49208 55603 61510 62152 77690 104567 111206 123020 155380 209134 222412 246040 278015 310760 418268 444824 522835 556030 836536 945251 1045670 1112060 1890502 2091340 2224120 2811007 3781004 4182680 4726255 5622014 7562008 9452510 11244028 14055035 18905020 22488056 25410571 28110070 37810040 47787119 50821142 56220140 95574238 101642284 112440280 127052855 191148476 203284568 238935595 254105710 342014053 382296952 431979707 477871190 508211420 684028106 863959414 955742380 1016422840 1368056212 1710070265 1727918828 1911484760 2159898535 2736112424 3420140530 3455837656 4319797070 5814238901 6840281060 8639594140 11628477802 13680562120 17279188280 23256955604 29071194505 46513911208 58142389010 116284778020 156300422221 232569556040 312600844442 625201688884 781502111105 1250403377768 1563004222210 2657107177757 3126008444420 5314214355514 6252016888840 10628428711028 13285535888785 21256857422056 26571071777570 53142143555140 106284287110280