Search a number
-
+
10102203132 = 2237661181943
BaseRepresentation
bin10010110100010001…
…10110001011111100
3222002001002002110120
421122020312023330
5131142131000012
64350233134540
7505225211160
oct113210661374
928061062416
1010102203132
11431448080a
121b5b25a450
13c4cc229b8
146bb968ca0
153e1d4a58c
hex25a2362fc

10102203132 has 48 divisors (see below), whose sum is σ = 26980111872. Its totient is φ = 2881961280.

The previous prime is 10102203109. The next prime is 10102203149. The reversal of 10102203132 is 23130220101.

10102203132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35448 + ... + 146495.

It is an arithmetic number, because the mean of its divisors is an integer number (562085664).

Almost surely, 210102203132 is an apocalyptic number.

10102203132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102203132 is an abundant number, since it is smaller than the sum of its proper divisors (16877908740).

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

10102203132 is a wasteful number, since it uses less digits than its factorization.

10102203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182618 (or 182616 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10102203132 its reverse (23130220101), we get a palindrome (33232423233).

The spelling of 10102203132 in words is "ten billion, one hundred two million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 661 1322 1983 2644 3966 4627 7932 9254 13881 18508 27762 55524 181943 363886 545829 727772 1091658 1273601 2183316 2547202 3820803 5094404 7641606 15283212 120264323 240528646 360792969 481057292 721585938 841850261 1443171876 1683700522 2525550783 3367401044 5051101566 10102203132