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30213310120200 = 23325216785172289
BaseRepresentation
bin1101101111010100101011…
…00111100000000100001000
310221222100211112022121101100
412313222111213200010020
512430003324342321300
6144131445243221400
76235560663450324
oct667522547400410
9127870745277340
1030213310120200
1196994359a3599
12347b660517860
1313b214516239c
14766491082984
15375db6a0c700
hex1b7a959e0108

30213310120200 has 72 divisors (see below), whose sum is σ = 101466366493050. Its totient is φ = 8056882698240.

The previous prime is 30213310120187. The next prime is 30213310120297. The reversal of 30213310120200 is 202101331203.

30213310120200 is a `hidden beast` number, since 3 + 0 + 213 + 310 + 120 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26822931795396 + 3390378324804 = 5179086^2 + 1841298^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8392584345 + ... + 8392587944.

Almost surely, 230213310120200 is an apocalyptic number.

30213310120200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30213310120200 is an abundant number, since it is smaller than the sum of its proper divisors (71253056372850).

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

30213310120200 is a wasteful number, since it uses less digits than its factorization.

30213310120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16785172311 (or 16785172299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30213310120200 its reverse (202101331203), we get a palindrome (30415411451403).

The spelling of 30213310120200 in words is "thirty trillion, two hundred thirteen billion, three hundred ten million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 16785172289 33570344578 50355516867 67140689156 83925861445 100711033734 134281378312 151066550601 167851722890 201422067468 251777584335 302133101202 335703445780 402844134936 419629307225 503555168670 604266202404 671406891560 755332753005 839258614450 1007110337340 1208532404808 1258887921675 1510665506010 1678517228900 2014220674680 2517775843350 3021331012020 3357034457800 3776663765025 5035551686700 6042662024040 7553327530050 10071103373400 15106655060100 30213310120200