Search a number
-
+
100330300040 = 2355942512839
BaseRepresentation
bin101110101110000100…
…1101110001010001000
3100120222012011022201112
41131130021232022020
53120434024100130
6114031402305452
710151164323245
oct1353411561210
9316865138645
10100330300040
1139605925443
12175404b8288
1395cc088c59
144bdac805cc
152923231495
hex175c26e288

100330300040 has 32 divisors (see below), whose sum is σ = 229569336000. Its totient is φ = 39451913664.

The previous prime is 100330300003. The next prime is 100330300117. The reversal of 100330300040 is 40003033001.

It is a happy number.

It is a super-2 number, since 2×1003303000402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100330299988 and 100330300024.

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 7 ways as a sum of consecutive naturals, for example, 21254060 + ... + 21258779.

It is an arithmetic number, because the mean of its divisors is an integer number (7174041750).

Almost surely, 2100330300040 is an apocalyptic number.

100330300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100330300040 is an abundant number, since it is smaller than the sum of its proper divisors (129239035960).

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

100330300040 is a wasteful number, since it uses less digits than its factorization.

100330300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42512909 (or 42512905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 100330300040 its reverse (40003033001), we get a palindrome (140333333041).

The spelling of 100330300040 in words is "one hundred billion, three hundred thirty million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 42512839 85025678 170051356 212564195 340102712 425128390 850256780 1700513560 2508257501 5016515002 10033030004 12541287505 20066060008 25082575010 50165150020 100330300040