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106306210404 = 22332342796381
BaseRepresentation
bin110001100000001011…
…0000000101001100100
3101011101122220000122000
41203000112000221210
53220203342213104
6120500355005300
710452236610402
oct1430026005144
9334348800560
10106306210404
11410a20a2339
1218729899830
13a04216bca4
1452067bc472
152b72bab639
hex18c0580a64

106306210404 has 48 divisors (see below), whose sum is σ = 287591687040. Its totient is φ = 33894732960.

The previous prime is 106306210379. The next prime is 106306210411. The reversal of 106306210404 is 404012603601.

106306210404 is a `hidden beast` number, since 1 + 0 + 6 + 30 + 621 + 0 + 4 + 0 + 4 = 666.

It is a super-2 number, since 2×1063062104042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21395707 + ... + 21400674.

It is an arithmetic number, because the mean of its divisors is an integer number (5991493480).

Almost surely, 2106306210404 is an apocalyptic number.

It is an amenable number.

106306210404 is an abundant number, since it is smaller than the sum of its proper divisors (181285476636).

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

106306210404 is a wasteful number, since it uses less digits than its factorization.

106306210404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42796417 (or 42796409 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 106306210404 in words is "one hundred six billion, three hundred six million, two hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 42796381 85592762 128389143 171185524 256778286 385167429 513556572 770334858 984316763 1155502287 1540669716 1968633526 2311004574 2952950289 3937267052 4622009148 5905900578 8858850867 11811801156 17717701734 26576552601 35435403468 53153105202 106306210404