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100243222002 = 23471134723159
BaseRepresentation
bin101110101011011110…
…1100010110111110010
3100120202010022022010000
41131112331202313302
53120244231101002
6114015012050430
710146056220360
oct1352675426762
9316663268100
10100243222002
113957075a420
1217517303a16
1395b701aca1
144bcd494630
15291a78061c
hex1756f62df2

100243222002 has 160 divisors (see below), whose sum is σ = 280863728640. Its totient is φ = 25961044320.

The previous prime is 100243221997. The next prime is 100243222033. The reversal of 100243222002 is 200222342001.

100243222002 is a `hidden beast` number, since 10 + 0 + 2 + 432 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4316899 + ... + 4340057.

It is an arithmetic number, because the mean of its divisors is an integer number (1755398304).

Almost surely, 2100243222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100243222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140431864320).

100243222002 is an abundant number, since it is smaller than the sum of its proper divisors (180620506638).

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

100243222002 is a wasteful number, since it uses less digits than its factorization.

100243222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23538 (or 23529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100243222002 its reverse (200222342001), we get a palindrome (300465564003).

The spelling of 100243222002 in words is "one hundred billion, two hundred forty-three million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 347 378 462 567 594 693 694 891 1041 1134 1386 1782 2079 2082 2429 3123 3817 4158 4858 6237 6246 7287 7634 9369 11451 12474 14574 18738 21861 22902 23159 26719 28107 34353 43722 46318 53438 56214 65583 68706 69477 80157 103059 131166 138954 160314 162113 196749 206118 208431 240471 254749 309177 324226 393498 416862 480942 486339 509498 618354 625293 721413 764247 972678 1250586 1442826 1459017 1528494 1783243 1875879 2164239 2292741 2918034 3566486 3751758 4328478 4377051 4585482 5349729 6878223 8036173 8754102 10699458 13131153 13756446 16049187 16072346 20634669 24108519 26262306 32098374 41269338 48147561 48217038 56253211 72325557 88397903 96295122 112506422 144442683 144651114 168759633 176795806 216976671 265193709 288885366 337519266 433953342 506278899 530387418 618785321 650930013 795581127 1012557798 1237570642 1301860026 1518836697 1591162254 1856355963 2386743381 3037673394 3712711926 4556510091 4773486762 5569067889 7160230143 9113020182 11138135778 14320460286 16707203667 33414407334 50121611001 100243222002