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1010100099966 = 2313113927733377
BaseRepresentation
bin11101011001011101010…
…10000101101101111110
310120120020121112122221120
432230232222011231332
5113022141111144331
62052011130411410
7132656136120426
oct16545652055576
93516217478846
101010100099966
1135a42119a551
12143920590b66
1374337933159
1436c639c5486
151b41d2e8796
hexeb2ea85b7e

1010100099966 has 64 divisors (see below), whose sum is σ = 2057729667840. Its totient is φ = 330518522880.

The previous prime is 1010100099919. The next prime is 1010100100007. The reversal of 1010100099966 is 6699900010101.

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, 30246670 + ... + 30280046.

It is an arithmetic number, because the mean of its divisors is an integer number (32152026060).

Almost surely, 21010100099966 is an apocalyptic number.

1010100099966 is an abundant number, since it is smaller than the sum of its proper divisors (1047629567874).

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

1010100099966 is a wasteful number, since it uses less digits than its factorization.

1010100099966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33929.

The product of its (nonzero) digits is 26244, while the sum is 42.

The spelling of 1010100099966 in words is "one trillion, ten billion, one hundred million, ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 131 139 262 277 278 393 417 554 786 831 834 1662 18209 33377 36287 36418 38503 54627 66754 72574 77006 100131 108861 109254 115509 200262 217722 231018 4372387 4639403 5043893 8744774 9245429 9278806 10087786 13117161 13918209 15131679 18490858 26234322 27736287 27836418 30263358 55472574 607761793 1211151199 1215523586 1285114631 1823285379 2422302398 2570229262 3633453597 3646570758 3855343893 7266907194 7710687786 168350016661 336700033322 505050049983 1010100099966