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30343304100 = 22352377337447
BaseRepresentation
bin11100010000100110…
…100001001110100100
32220022200021120001210
4130100212201032210
5444120341212400
621534534151420
72122635554304
oct342046411644
986280246053
1030343304100
111196100552a
125a69ab2570
132b27545615
14167bc91604
15bc8d3d950
hex7109a13a4

30343304100 has 144 divisors (see below), whose sum is σ = 91403677568. Its totient is φ = 7764802560.

The previous prime is 30343304083. The next prime is 30343304107. The reversal of 30343304100 is 140334303.

It is a super-2 number, since 2×303433041002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30343304107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791577 + ... + 829023.

Almost surely, 230343304100 is an apocalyptic number.

30343304100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30343304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45701838784).

30343304100 is an abundant number, since it is smaller than the sum of its proper divisors (61060373468).

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

30343304100 is a wasteful number, since it uses less digits than its factorization.

30343304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37574 (or 37567 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 30343304100 its reverse (140334303), we get a palindrome (30483638403).

The spelling of 30343304100 in words is "thirty billion, three hundred forty-three million, three hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 73 74 75 100 111 146 148 150 185 219 222 292 300 365 370 438 444 555 730 740 876 925 1095 1110 1460 1825 1850 2190 2220 2701 2775 3650 3700 4380 5402 5475 5550 7300 8103 10804 10950 11100 13505 16206 21900 27010 32412 37447 40515 54020 67525 74894 81030 112341 135050 149788 162060 187235 202575 224682 270100 374470 405150 449364 561705 748940 810300 936175 1123410 1385539 1872350 2246820 2733631 2771078 2808525 3744700 4156617 5467262 5542156 5617050 6927695 8200893 8313234 10934524 11234100 13668155 13855390 16401786 16626468 20783085 27336310 27710780 32803572 34638475 41004465 41566170 54672620 68340775 69276950 82008930 83132340 101144347 103915425 136681550 138553900 164017860 202288694 205022325 207830850 273363100 303433041 404577388 410044650 415661700 505721735 606866082 820089300 1011443470 1213732164 1517165205 2022886940 2528608675 3034330410 5057217350 6068660820 7585826025 10114434700 15171652050 30343304100