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100000100009999 = 72191013493047221
BaseRepresentation
bin10110101111001100010110…
…011100000100100000001111
3111010001220201220111120012202
4112233030112130010200033
5101101400201100304444
6552403224534152115
730030524462205500
oct2657142634044017
9433056656446182
10100000100009999
1129954893505172
12b2708331b263b
1343a4c79a91167
141a9a060206ba7
15b8637347734e
hex5af31670480f

100000100009999 has 48 divisors (see below), whose sum is σ = 124015840956000. Its totient is φ = 80168701536000.

The previous prime is 100000100009987. The next prime is 100000100010001. The reversal of 100000100009999 is 999900001000001.

It is a happy number.

It is not a de Polignac number, because 100000100009999 - 224 = 100000083232783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000100009969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31293209 + ... + 34340429.

It is an arithmetic number, because the mean of its divisors is an integer number (2583663353250).

Almost surely, 2100000100009999 is an apocalyptic number.

100000100009999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100000100009999 is a deficient number, since it is larger than the sum of its proper divisors (24015740946001).

100000100009999 is a wasteful number, since it uses less digits than its factorization.

100000100009999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047704 (or 3047697 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 38.

The spelling of 100000100009999 in words is "one hundred trillion, one hundred million, nine thousand, nine hundred ninety-nine".

Divisors: 1 7 19 49 101 133 349 707 931 1919 2443 4949 6631 13433 17101 35249 46417 94031 246743 324919 669731 1727201 3047221 4688117 21330547 32816819 57897199 149313829 307769321 405280393 1063480129 2154385247 2836962751 5847617099 7444360903 15080696729 20206122451 40933319693 52110526321 107411493029 141442857157 286533237851 751880451203 990100000099 2040818367551 5263163158421 14285728572857 100000100009999