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30100130000100 = 22325261548271949
BaseRepresentation
bin1101101100000001110111…
…00011100110110011100100
310221120112200210221210100100
412312000323203212303210
512421130031240000400
6144003450412344100
76224443165345566
oct666007343466344
9127515623853310
1030100130000100
119655436749156
123461734775030
1313a4578b67514
14760bd57ab336
15372e90642100
hex1b603b8e6ce4

30100130000100 has 108 divisors (see below), whose sum is σ = 95893860598900. Its totient is φ = 7895116051200.

The previous prime is 30100130000099. The next prime is 30100130000173. The reversal of 30100130000100 is 100003100103.

It can be written as a sum of positive squares in 6 ways, for example, as 444067635456 + 29656062364644 = 666384^2 + 5445738^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 274081075 + ... + 274190874.

Almost surely, 230100130000100 is an apocalyptic number.

30100130000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30100130000100 is an abundant number, since it is smaller than the sum of its proper divisors (65793730598800).

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

30100130000100 is a wasteful number, since it uses less digits than its factorization.

30100130000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548272030 (or 548272020 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 30100130000100 its reverse (100003100103), we get a palindrome (30200133100203).

The spelling of 30100130000100 in words is "thirty trillion, one hundred billion, one hundred thirty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 548271949 1096543898 1644815847 2193087796 2741359745 3289631694 4934447541 5482719490 6579263388 8224079235 9868895082 10965438980 13706798725 16448158470 19737790164 24672237705 27413597450 32896316940 33444588889 41120396175 49344475410 54827194900 66889177778 82240792350 98688950820 100333766667 123361188525 133778355556 164481584700 167222944445 200667533334 246722377050 301001300001 334445888890 401335066668 493444754100 501668833335 602002600002 668891777780 836114722225 1003337666670 1204005200004 1505006500005 1672229444450 2006675333340 2508344166675 3010013000010 3344458888900 5016688333350 6020026000020 7525032500025 10033376666700 15050065000050 30100130000100