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106306210380 = 223513712932629
BaseRepresentation
bin110001100000001011…
…0000000101001001100
3101011101122220000121010
41203000112000221030
53220203342213010
6120500355005220
710452236610336
oct1430026005114
9334348800533
10106306210380
11410a20a2317
1218729899810
13a04216bc86
1452067bc456
152b72bab620
hex18c0580a4c

106306210380 has 48 divisors (see below), whose sum is σ = 299830093920. Its totient is φ = 28141398528.

The previous prime is 106306210379. The next prime is 106306210411. The reversal of 106306210380 is 83012603601.

It is a super-2 number, since 2×1063062103802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6458095 + ... + 6474534.

It is an arithmetic number, because the mean of its divisors is an integer number (6246460290).

Almost surely, 2106306210380 is an apocalyptic number.

106306210380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106306210380 is an abundant number, since it is smaller than the sum of its proper divisors (193523883540).

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

106306210380 is a wasteful number, since it uses less digits than its factorization.

106306210380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12932778 (or 12932776 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 106306210380 its reverse (83012603601), we get a palindrome (189318813981).

The spelling of 106306210380 in words is "one hundred six billion, three hundred six million, two hundred ten thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 12932629 25865258 38797887 51730516 64663145 77595774 129326290 155191548 193989435 258652580 387978870 775957740 1771770173 3543540346 5315310519 7087080692 8858850865 10630621038 17717701730 21261242076 26576552595 35435403460 53153105190 106306210380