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106350340996 = 22414972
BaseRepresentation
bin110001100001011111…
…0010110101110000100
3101011111201221002102101
41203002332112232010
53220301141402441
6120505012521444
710453313661124
oct1430276265604
9334451832371
10106350340996
1141114aa42a9
1218740620284
13a04b350973
14520c5c8c84
152b769c7231
hex18c2f96b84

106350340996 has 45 divisors (see below), whose sum is σ = 192752856345. Its totient is φ = 51343388160.

The previous prime is 106350340979. The next prime is 106350340997. The reversal of 106350340996 is 699043053601.

The square root of 106350340996 is 326114.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 90691322500 + 15659018496 = 301150^2 + 125136^2 .

It is a super-3 number, since 3×1063503409963 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106350340997) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1096395220 + ... + 1096395316.

Almost surely, 2106350340996 is an apocalyptic number.

106350340996 is the 326114-th square number.

It is an amenable number.

106350340996 is a deficient number, since it is larger than the sum of its proper divisors (86402515349).

106350340996 is an frugal number, since it uses more digits than its factorization.

106350340996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 106350340996 in words is "one hundred six billion, three hundred fifty million, three hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 4 41 82 97 164 194 388 1681 3362 3977 6724 7954 9409 15908 18818 37636 68921 137842 163057 275684 326114 385769 652228 771538 1543076 2825761 5651522 6685337 11303044 13370674 15816529 26741348 31633058 63266116 274098817 548197634 648477689 1096395268 1296955378 2593910756 26587585249 53175170498 106350340996