Search a number
-
+
102035020520 = 23523110907631
BaseRepresentation
bin101111100000111000…
…0101101101011101000
3100202100222220002121002
41133001300231223220
53132431431124040
6114512500334132
710241344235636
oct1370160555350
9322328802532
10102035020520
113a300122144
12179373a4348
1398112c8cb4
144d1d434356
1529c2c18a15
hex17c1c2dae8

102035020520 has 32 divisors (see below), whose sum is σ = 239560485120. Its totient is φ = 39039485760.

The previous prime is 102035020513. The next prime is 102035020537. The reversal of 102035020520 is 25020530201.

It is a super-2 number, since 2×1020350205202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102035020492 and 102035020501.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 55452896 + ... + 55454735.

It is an arithmetic number, because the mean of its divisors is an integer number (7486265160).

Almost surely, 2102035020520 is an apocalyptic number.

102035020520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102035020520 is an abundant number, since it is smaller than the sum of its proper divisors (137525464600).

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

102035020520 is a wasteful number, since it uses less digits than its factorization.

102035020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110907665 (or 110907661 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 102035020520 its reverse (25020530201), we get a palindrome (127055550721).

The spelling of 102035020520 in words is "one hundred two billion, thirty-five million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 110907631 221815262 443630524 554538155 887261048 1109076310 2218152620 2550875513 4436305240 5101751026 10203502052 12754377565 20407004104 25508755130 51017510260 102035020520