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100211101332 = 223311913314261
BaseRepresentation
bin101110101010100001…
…1000000111010010100
3100120122212212101211120
41131111003000322110
53120213020220312
6114011503403540
710145216210166
oct1352503007224
9316585771746
10100211101332
1139554610711
12175085b35b0
1395b0482984
144bc90d2936
152917a3828c
hex17550c0e94

100211101332 has 96 divisors (see below), whose sum is σ = 243422527488. Its totient is φ = 32052240000.

The previous prime is 100211101327. The next prime is 100211101357. The reversal of 100211101332 is 233101112001.

It is a happy number.

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, 23516082 + ... + 23520342.

It is an arithmetic number, because the mean of its divisors is an integer number (2535651328).

Almost surely, 2100211101332 is an apocalyptic number.

100211101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211101332 is an abundant number, since it is smaller than the sum of its proper divisors (143211426156).

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

100211101332 is a wasteful number, since it uses less digits than its factorization.

100211101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100211101332 its reverse (233101112001), we get a palindrome (333312213333).

The spelling of 100211101332 in words is "one hundred billion, two hundred eleven million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 191 331 372 382 573 662 764 993 1146 1324 1986 2292 3972 4261 5921 8522 10261 11842 12783 17044 17763 20522 23684 25566 30783 35526 41044 51132 61566 63221 71052 123132 126442 132091 189663 252884 264182 379326 396273 528364 758652 792546 813851 1410391 1585092 1627702 1959851 2441553 2820782 3255404 3919702 4231173 4883106 5641564 5879553 7839404 8462346 9766212 11759106 16924692 23518212 25229381 43722121 50458762 75688143 87444242 100917524 131166363 151376286 174888484 262332726 269384681 302752572 524665452 538769362 808154043 1077538724 1616308086 3232616172 8350925111 16701850222 25052775333 33403700444 50105550666 100211101332