Search a number
-
+
102033013020 = 22351989502643
BaseRepresentation
bin101111100000110100…
…1000011100100011100
3100202100212010002211020
41133001221003210130
53132430422404040
6114512345324140
710241321205111
oct1370151034434
9322325102736
10102033013020
113a2a9a80954
1217936796650
139810a75323
144d1d070908
1529c296dcd0
hex17c1a4391c

102033013020 has 48 divisors (see below), whose sum is σ = 300728883840. Its totient is φ = 25776760896.

The previous prime is 102033012931. The next prime is 102033013021. The reversal of 102033013020 is 20310330201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033013021) by changing a digit.

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, 44750182 + ... + 44752461.

It is an arithmetic number, because the mean of its divisors is an integer number (6265185080).

Almost surely, 2102033013020 is an apocalyptic number.

102033013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102033013020 is an abundant number, since it is smaller than the sum of its proper divisors (198695870820).

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

102033013020 is a wasteful number, since it uses less digits than its factorization.

102033013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89502674 (or 89502672 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102033013020 its reverse (20310330201), we get a palindrome (122343343221).

The spelling of 102033013020 in words is "one hundred two billion, thirty-three million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 89502643 179005286 268507929 358010572 447513215 537015858 895026430 1074031716 1342539645 1700550217 1790052860 2685079290 3401100434 5101650651 5370158580 6802200868 8502751085 10203301302 17005502170 20406602604 25508253255 34011004340 51016506510 102033013020