Search a number
-
+
106358786130 = 23510913249581
BaseRepresentation
bin110001100001101111…
…0100100100001010010
3101011112022211010222010
41203003132210201102
53220310322124010
6120505513523350
710453445523402
oct1430336444122
9334468733863
10106358786130
1141119842253
1218743413556
13a05001989c
14520d786802
152b775e4620
hex18c37a4852

106358786130 has 32 divisors (see below), whose sum is σ = 255495135168. Its totient is φ = 28336337600.

The previous prime is 106358786113. The next prime is 106358786167. The reversal of 106358786130 is 31687853601.

It is a super-2 number, since 2×1063587861302 (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 106358786130.

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, 1592061 + ... + 1657520.

It is an arithmetic number, because the mean of its divisors is an integer number (7984222974).

Almost surely, 2106358786130 is an apocalyptic number.

106358786130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106358786130 is an abundant number, since it is smaller than the sum of its proper divisors (149136349038).

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

106358786130 is a wasteful number, since it uses less digits than its factorization.

106358786130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250682.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 106358786130 in words is "one hundred six billion, three hundred fifty-eight million, seven hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1091 2182 3273 5455 6546 10910 16365 32730 3249581 6499162 9748743 16247905 19497486 32495810 48743715 97487430 3545292871 7090585742 10635878613 17726464355 21271757226 35452928710 53179393065 106358786130