Search a number
-
+
106161302232 = 23326269235199
BaseRepresentation
bin110001011011110110…
…1001110101011011000
3101011000120012220222200
41202313231032223120
53214404243132412
6120434141050200
710445530115526
oct1426755165330
9334016186880
10106161302232
1141028318717
12186a9256960
13a01b1338cb
1451d145b316
152b650d59dc
hex18b7b4ead8

106161302232 has 48 divisors (see below), whose sum is σ = 287567280000. Its totient is φ = 35381305536.

The previous prime is 106161302231. The next prime is 106161302251. The reversal of 106161302232 is 232203161601.

106161302232 is a `hidden beast` number, since 1 + 0 + 616 + 13 + 0 + 2 + 2 + 32 = 666.

It is a super-2 number, since 2×1061613022322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106161302196 and 106161302205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106161302231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333769 + ... + 568967.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985000).

Almost surely, 2106161302232 is an apocalyptic number.

106161302232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106161302232 is an abundant number, since it is smaller than the sum of its proper divisors (181405977768).

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

106161302232 is a wasteful number, since it uses less digits than its factorization.

106161302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241480 (or 241473 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 106161302232 its reverse (232203161601), we get a palindrome (338364463833).

The spelling of 106161302232 in words is "one hundred six billion, one hundred sixty-one million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6269 12538 18807 25076 37614 50152 56421 75228 112842 150456 225684 235199 451368 470398 705597 940796 1411194 1881592 2116791 2822388 4233582 5644776 8467164 16934328 1474462531 2948925062 4423387593 5897850124 8846775186 11795700248 13270162779 17693550372 26540325558 35387100744 53080651116 106161302232