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106201330096 = 2447592393647
BaseRepresentation
bin110001011101000010…
…1111011000110110000
3101011010100112112220011
41202322011323012300
53220000020030341
6120442131024304
710446524261041
oct1427205730660
9334110475804
10106201330096
11410489781a4
12186ba73b094
13a02650a034
1451d68ba8c8
152b68890b81
hex18ba17b1b0

106201330096 has 40 divisors (see below), whose sum is σ = 213704893440. Its totient is φ = 51089980224.

The previous prime is 106201330073. The next prime is 106201330097. The reversal of 106201330096 is 690033102601.

It is a super-2 number, since 2×1062013300962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106201330097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152456 + ... + 1241191.

It is an arithmetic number, because the mean of its divisors is an integer number (5342622336).

Almost surely, 2106201330096 is an apocalyptic number.

106201330096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106201330096 is an abundant number, since it is smaller than the sum of its proper divisors (107503563344).

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

106201330096 is a wasteful number, since it uses less digits than its factorization.

106201330096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393761 (or 2393755 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

Adding to 106201330096 its reverse (690033102601), we get a palindrome (796234432697).

The spelling of 106201330096 in words is "one hundred six billion, two hundred one million, three hundred thirty thousand, ninety-six".

Divisors: 1 2 4 8 16 47 59 94 118 188 236 376 472 752 944 2773 5546 11092 22184 44368 2393647 4787294 9574588 19149176 38298352 112501409 141225173 225002818 282450346 450005636 564900692 900011272 1129801384 1800022544 2259602768 6637583131 13275166262 26550332524 53100665048 106201330096