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100301233130 = 25719472636101
BaseRepresentation
bin101110101101001101…
…0110101101111101010
3100120220011110120102022
41131122122311233222
53120404103430010
6114024443304442
710150362262130
oct1353232655752
9316804416368
10100301233130
11395a0481aaa
121753281b122
1395c604c8b7
144bd7075750
1529208ddd55
hex175a6b5bea

100301233130 has 128 divisors (see below), whose sum is σ = 222694686720. Its totient is φ = 31759430400.

The previous prime is 100301233121. The next prime is 100301233139. The reversal of 100301233130 is 31332103001.

It is an interprime number because it is at equal distance from previous prime (100301233121) and next prime (100301233139).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100301233099 and 100301233108.

It is not an unprimeable number, because it can be changed into a prime (100301233139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16437080 + ... + 16443180.

It is an arithmetic number, because the mean of its divisors is an integer number (1739802240).

Almost surely, 2100301233130 is an apocalyptic number.

100301233130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100301233130 is an abundant number, since it is smaller than the sum of its proper divisors (122393453590).

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

100301233130 is a wasteful number, since it uses less digits than its factorization.

100301233130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100301233130 its reverse (31332103001), we get a palindrome (131633336131).

The spelling of 100301233130 in words is "one hundred billion, three hundred one million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 47 70 94 95 133 190 235 263 266 329 470 526 658 665 893 1315 1330 1645 1786 1841 2630 3290 3682 4465 4997 6101 6251 8930 9205 9994 12202 12361 12502 18410 24722 24985 30505 31255 34979 42707 49970 61010 61805 62510 69958 85414 86527 115919 123610 173054 174895 213535 231838 234859 286747 349790 427070 432635 469718 573494 579595 811433 865270 1159190 1174295 1433735 1604563 1622866 1644013 2007229 2348590 2867470 3209126 3288026 4014458 4057165 5448193 8022815 8114330 8220065 10036145 10896386 11231941 16045630 16440130 20072290 22463882 27240965 30486697 38137351 54481930 56159705 60973394 75414461 76274702 112319410 150828922 152433485 190686755 213406879 304866970 377072305 381373510 426813758 527901227 754144610 1055802454 1067034395 1432874759 2134068790 2639506135 2865749518 5279012270 7164373795 10030123313 14328747590 20060246626 50150616565 100301233130