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106170315216 = 2437967732653
BaseRepresentation
bin110001011100000111…
…1100111000111010000
3101011001012011211110220
41202320033213013100
53214414100041331
6120435102153040
710445666534460
oct1427017470720
9334035154426
10106170315216
1141032414269
12186b0282780
13a01cc6b134
1451d2725ba0
152b65cb6296
hex18b83e71d0

106170315216 has 80 divisors (see below), whose sum is σ = 313497208704. Its totient is φ = 30330312192.

The previous prime is 106170315191. The next prime is 106170315217. The reversal of 106170315216 is 612513071601.

It is a super-2 number, since 2×1061703152162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106170315217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235146 + ... + 3267798.

Almost surely, 2106170315216 is an apocalyptic number.

106170315216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106170315216 is an abundant number, since it is smaller than the sum of its proper divisors (207326893488).

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

106170315216 is a wasteful number, since it uses less digits than its factorization.

106170315216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42348 (or 42342 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

Adding to 106170315216 its reverse (612513071601), we get a palindrome (718683386817).

The spelling of 106170315216 in words is "one hundred six billion, one hundred seventy million, three hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 9677 19354 29031 32653 38708 58062 65306 67739 77416 97959 116124 130612 135478 154832 195918 203217 228571 232248 261224 270956 391836 406434 457142 464496 522448 541912 685713 783672 812868 914284 1083824 1371426 1567344 1625736 1828568 2742852 3251472 3657136 5485704 10971408 315983081 631966162 947949243 1263932324 1895898486 2211881567 2527864648 3791796972 4423763134 5055729296 6635644701 7583593944 8847526268 13271289402 15167187888 17695052536 26542578804 35390105072 53085157608 106170315216