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106005022240 = 2551350963953
BaseRepresentation
bin110001010111001100…
…1000100011000100000
3101010121200011002010211
41202232121010120200
53214044241202430
6120410435303504
710441621551655
oct1425631043040
9333550132124
10106005022240
1140a580871a7
1218664a4ab94
139cc4946440
1451b87b9c2c
152b5651572a
hex18ae644620

106005022240 has 48 divisors (see below), whose sum is σ = 269701244568. Its totient is φ = 39140315136.

The previous prime is 106005022199. The next prime is 106005022259. The reversal of 106005022240 is 42220500601.

It can be written as a sum of positive squares in 4 ways, for example, as 91351435536 + 14653586704 = 302244^2 + 121052^2 .

It is a super-2 number, since 2×1060050222402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25479897 + ... + 25484056.

Almost surely, 2106005022240 is an apocalyptic number.

106005022240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005022240 is an abundant number, since it is smaller than the sum of its proper divisors (163696222328).

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

106005022240 is a wasteful number, since it uses less digits than its factorization.

106005022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50963981 (or 50963973 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 106005022240 its reverse (42220500601), we get a palindrome (148225522841).

The spelling of 106005022240 in words is "one hundred six billion, five million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 50963953 101927906 203855812 254819765 407711624 509639530 662531389 815423248 1019279060 1325062778 1630846496 2038558120 2650125556 3312656945 4077116240 5300251112 6625313890 8154232480 10600502224 13250627780 21201004448 26501255560 53002511120 106005022240