Search a number
-
+
101202020992 = 27973381233
BaseRepresentation
bin101111001000000011…
…1000100101010000000
3100200012221110100001201
41132100013010222000
53124230204132432
6114254102310544
710211610661612
oct1362007045200
9320187410051
10101202020992
1139a129a2286
1217744428454
13970a860a77
144c80958db2
152974a23ee7
hex17901c4a80

101202020992 has 32 divisors (see below), whose sum is σ = 201636597780. Its totient is φ = 50595188736.

The previous prime is 101202020981. The next prime is 101202021121. The reversal of 101202020992 is 299020202101.

It can be written as a sum of positive squares in 2 ways, for example, as 94780242496 + 6421778496 = 307864^2 + 80136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 101202020992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1205208 + ... + 1286440.

Almost surely, 2101202020992 is an apocalyptic number.

It is an amenable number.

101202020992 is a deficient number, since it is larger than the sum of its proper divisors (100434576788).

101202020992 is an frugal number, since it uses more digits than its factorization.

101202020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90980 (or 90968 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

It can be divided in two parts, 10120202099 and 2, that added together give a palindrome (10120202101).

The spelling of 101202020992 in words is "one hundred one billion, two hundred two million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 9733 19466 38932 77864 81233 155728 162466 311456 324932 622912 649864 1245824 1299728 2599456 5198912 10397824 790640789 1581281578 3162563156 6325126312 12650252624 25300505248 50601010496 101202020992