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106497730830 = 23541190745403
BaseRepresentation
bin110001100101111000…
…0100110100100001110
3101011220000021021021010
41203023300212210032
53221101404341310
6120531355550050
710460053530111
oct1431360464416
9334800237233
10106497730830
1141190213487
1218781a5b326
13a072a4779a
145223dd4578
152b848dd320
hex18cbc2690e

106497730830 has 64 divisors (see below), whose sum is σ = 261971635968. Its totient is φ = 27691587840.

The previous prime is 106497730799. The next prime is 106497730831. The reversal of 106497730830 is 38037794601.

It is a super-2 number, since 2×1064977308302 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 106497730830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106497730831) 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 31 ways as a sum of consecutive naturals, for example, 2322909 + ... + 2368311.

It is an arithmetic number, because the mean of its divisors is an integer number (4093306812).

Almost surely, 2106497730830 is an apocalyptic number.

106497730830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106497730830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130985817984).

106497730830 is an abundant number, since it is smaller than the sum of its proper divisors (155473905138).

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

106497730830 is a wasteful number, since it uses less digits than its factorization.

106497730830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47361.

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 106497730830 in words is "one hundred six billion, four hundred ninety-seven million, seven hundred thirty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1907 3814 5721 9535 11442 19070 28605 45403 57210 78187 90806 136209 156374 227015 234561 272418 390935 454030 469122 681045 781870 1172805 1362090 1861523 2345610 3723046 5584569 9307615 11169138 18615230 27922845 55845690 86583521 173167042 259750563 432917605 519501126 865835210 1298752815 2597505630 3549924361 7099848722 10649773083 17749621805 21299546166 35499243610 53248865415 106497730830