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32101000030996 = 22137311374836577
BaseRepresentation
bin1110100110010000110001…
…01101000010101100010100
311012122211021212220210022221
413103020120231002230110
513201420322001442441
6152134555033232124
76522135464113111
oct723103055025424
9135584255823287
1032101000030996
11a256a59712036
12372547bb62644
1314bb15a731370
147cd9a7a15908
153aa049bcb8d1
hex1d3218b42b14

32101000030996 has 48 divisors (see below), whose sum is σ = 61869494456784. Its totient is φ = 14483571572736.

The previous prime is 32101000030991. The next prime is 32101000031017. The reversal of 32101000030996 is 69903000010123.

It can be written as a sum of positive squares in 8 ways, for example, as 14765851428496 + 17335148602500 = 3842636^2 + 4163550^2 .

It is a super-3 number, since 3×321010000309963 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32101000030991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36989341 + ... + 37847236.

It is an arithmetic number, because the mean of its divisors is an integer number (1288947801183).

Almost surely, 232101000030996 is an apocalyptic number.

It is an amenable number.

32101000030996 is a deficient number, since it is larger than the sum of its proper divisors (29768494425788).

32101000030996 is a wasteful number, since it uses less digits than its factorization.

32101000030996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74836780 (or 74836778 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 32101000030996 in words is "thirty-two trillion, one hundred one billion, thirty thousand, nine hundred ninety-six".

Divisors: 1 2 4 13 26 52 73 113 146 226 292 452 949 1469 1898 2938 3796 5876 8249 16498 32996 107237 214474 428948 74836577 149673154 299346308 972875501 1945751002 3891502004 5463070121 8456533201 10926140242 16913066402 21852280484 33826132804 71019911573 109934931613 142039823146 219869863226 284079646292 439739726452 617326923673 1234653847346 2469307694692 8025250007749 16050500015498 32101000030996