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1010010009976 = 2311174311566451
BaseRepresentation
bin11101011001010010100…
…10011011000101111000
310120120000100000121201021
432230221102123011320
5113022000030304401
62051554151432224
7132653663301412
oct16545122330570
93516010017637
101010010009976
1135a385357610
121438b6385674
137432207c276
1436c55a539b2
151b4154502a1
hexeb2949b178

1010010009976 has 64 divisors (see below), whose sum is σ = 2192531535360. Its totient is φ = 431087040000.

The previous prime is 1010010009937. The next prime is 1010010010003. The reversal of 1010010009976 is 6799000100101.

1010010009976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138450 + ... + 1428001.

It is an arithmetic number, because the mean of its divisors is an integer number (34258305240).

Almost surely, 21010010009976 is an apocalyptic number.

It is an amenable number.

1010010009976 is an abundant number, since it is smaller than the sum of its proper divisors (1182521525384).

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

1010010009976 is a wasteful number, since it uses less digits than its factorization.

1010010009976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566916 (or 1566912 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 34.

The spelling of 1010010009976 in words is "one trillion, ten billion, ten million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 431 748 862 1496 1724 3448 4741 7327 9482 14654 18964 29308 37928 58616 80597 161194 322388 644776 1566451 3132902 6265804 12531608 17230961 26629667 34461922 53259334 68923844 106518668 137847688 213037336 292926337 585852674 675140381 1171705348 1350280762 2343410696 2700561524 5401123048 7426544191 11477386477 14853088382 22954772954 29706176764 45909545908 59412353528 91819091816 126251251247 252502502494 505005004988 1010010009976