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30210252100 = 22527374432633
BaseRepresentation
bin11100001000101010…
…111101110101000100
32212222101220211000221
4130020222331311010
5443332311031400
621513422314124
72116431622510
oct341052756504
985871824027
1030210252100
11118a29995a6
125a31428944
132b05acb922
141668339140
15bbc30ac1a
hex708abdd44

30210252100 has 144 divisors (see below), whose sum is σ = 77149312128. Its totient is φ = 10051292160.

The previous prime is 30210252049. The next prime is 30210252113. The reversal of 30210252100 is 125201203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11472384 + ... + 11475016.

It is an arithmetic number, because the mean of its divisors is an integer number (535759112).

Almost surely, 230210252100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30210252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38574656064).

30210252100 is an abundant number, since it is smaller than the sum of its proper divisors (46939060028).

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

30210252100 is a wasteful number, since it uses less digits than its factorization.

30210252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 30210252100 its reverse (125201203), we get a palindrome (30335453303).

The spelling of 30210252100 in words is "thirty billion, two hundred ten million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 443 518 700 740 886 925 1036 1295 1772 1850 2215 2590 2633 3101 3700 4430 5180 5266 6202 6475 8860 10532 11075 12404 12950 13165 15505 16391 18431 22150 25900 26330 31010 32782 36862 44300 52660 62020 65564 65825 73724 77525 81955 92155 97421 114737 131650 155050 163910 184310 194842 229474 263300 310100 327820 368620 389684 409775 458948 460775 487105 573685 681947 819550 921550 974210 1147370 1166419 1363894 1639100 1843100 1948420 2294740 2332838 2435525 2727788 2868425 3409735 4665676 4871050 5736850 5832095 6819470 8164933 9742100 11473700 11664190 13638940 16329866 17048675 23328380 29160475 32659732 34097350 40824665 43157503 58320950 68194700 81649330 86315006 116641900 163298660 172630012 204123325 215787515 302102521 408246650 431575030 604205042 816493300 863150060 1078937575 1208410084 1510512605 2157875150 3021025210 4315750300 6042050420 7552563025 15105126050 30210252100