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106212400530 = 23529488924971
BaseRepresentation
bin110001011101011000…
…0001001110110010010
3101011011010100222200020
41202322300021312102
53220010333304110
6120443204204310
710450020336255
oct1427260116622
9334133328606
10106212400530
1141054149615
1218702399696
13a0288b4ba2
1451d815d09c
152b6982ad70
hex18bac09d92

106212400530 has 64 divisors (see below), whose sum is σ = 263764252800. Its totient is φ = 27339952640.

The previous prime is 106212400457. The next prime is 106212400639. The reversal of 106212400530 is 35004212601.

It is a super-2 number, since 2×1062124005302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106212400530.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4240945 + ... + 4265915.

It is an arithmetic number, because the mean of its divisors is an integer number (4121316450).

Almost surely, 2106212400530 is an apocalyptic number.

106212400530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106212400530 is an abundant number, since it is smaller than the sum of its proper divisors (157551852270).

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

106212400530 is a wasteful number, since it uses less digits than its factorization.

106212400530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29899.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 106212400530 in words is "one hundred six billion, two hundred twelve million, four hundred thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 4889 9778 14667 24445 24971 29334 48890 49942 73335 74913 124855 141781 146670 149826 249710 283562 374565 425343 708905 724159 749130 850686 1417810 1448318 2126715 2172477 3620795 4253430 4344954 7241590 10862385 21724770 122083219 244166438 366249657 610416095 732499314 1220832190 1831248285 3540413351 3662496570 7080826702 10621240053 17702066755 21242480106 35404133510 53106200265 106212400530