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106030532352 = 283283348733
BaseRepresentation
bin110001010111111101…
…0011000011100000000
3101010200110011010102210
41202233322120130000
53214122304013402
6120413150142120
710442351440323
oct1425772303400
9333613133383
10106030532352
1140a70520338
12186714b1940
139cca008894
1451bbd3a7ba
152b588a406c
hex18afe98700

106030532352 has 72 divisors (see below), whose sum is σ = 282301246864. Its totient is φ = 35330310144.

The previous prime is 106030532347. The next prime is 106030532357. The reversal of 106030532352 is 253235030601.

It is an interprime number because it is at equal distance from previous prime (106030532347) and next prime (106030532357).

It is a super-2 number, since 2×1060305323522 (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 (106030532357) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2151378 + ... + 2200110.

Almost surely, 2106030532352 is an apocalyptic number.

106030532352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106030532352 is an abundant number, since it is smaller than the sum of its proper divisors (176270714512).

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

106030532352 is an equidigital number, since it uses as much as digits as its factorization.

106030532352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51585 (or 51571 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 106030532352 its reverse (253235030601), we get a palindrome (359265562953).

The spelling of 106030532352 in words is "one hundred six billion, thirty million, five hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2833 5666 8499 11332 16998 22664 33996 45328 48733 67992 90656 97466 135984 146199 181312 194932 271968 292398 362624 389864 543936 584796 725248 779728 1087872 1169592 1559456 2175744 2339184 3118912 4678368 6237824 9356736 12475648 18713472 37426944 138060589 276121178 414181767 552242356 828363534 1104484712 1656727068 2208969424 3313454136 4417938848 6626908272 8835877696 13253816544 17671755392 26507633088 35343510784 53015266176 106030532352