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30210105200 = 24521133120743
BaseRepresentation
bin11100001000101010…
…011001111101110000
32212222101122100112012
4130020222121331300
5443332241331300
621513415222052
72116430441312
oct341052317560
985871570465
1030210105200
11118a28a91a0
125a31377928
132b05a79ac2
1416682db7b2
15bbc2cc435
hex708a99f70

30210105200 has 120 divisors (see below), whose sum is σ = 79420976256. Its totient is φ = 10951776000.

The previous prime is 30210105197. The next prime is 30210105217. The reversal of 30210105200 is 250101203.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1446029 + ... + 1466771.

Almost surely, 230210105200 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 30210105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39710488128).

30210105200 is an abundant number, since it is smaller than the sum of its proper divisors (49210871056).

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

30210105200 is a wasteful number, since it uses less digits than its factorization.

30210105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21103 (or 21092 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 30210105200 its reverse (250101203), we get a palindrome (30460206403).

The spelling of 30210105200 in words is "thirty billion, two hundred ten million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 331 400 440 550 662 880 1100 1324 1655 2200 2648 3310 3641 4400 5296 6620 7282 8275 13240 14564 16550 18205 20743 26480 29128 33100 36410 41486 58256 66200 72820 82972 91025 103715 132400 145640 165944 182050 207430 228173 291280 331888 364100 414860 456346 518575 728200 829720 912692 1037150 1140865 1456400 1659440 1825384 2074300 2281730 3650768 4148600 4563460 5704325 6865933 8297200 9126920 11408650 13731866 18253840 22817300 27463732 34329665 45634600 54927464 68659330 75525263 91269200 109854928 137318660 151050526 171648325 274637320 302101052 343296650 377626315 549274640 604202104 686593300 755252630 1208404208 1373186600 1510505260 1888131575 2746373200 3021010520 3776263150 6042021040 7552526300 15105052600 30210105200