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30002223202100 = 22528311243321509
BaseRepresentation
bin1101101001001011011111…
…10110110011111100110100
310221020011222112001010102122
412310211233312303330310
512413024023114431400
6143450455302055112
76214406026322042
oct664455766637464
9127204875033378
1030002223202100
119617964928766
12344676ba1a498
131398274c05656
1475a188747392
1537066007a685
hex1b496fdb3f34

30002223202100 has 72 divisors (see below), whose sum is σ = 65895285244320. Its totient is φ = 11855208830080.

The previous prime is 30002223202087. The next prime is 30002223202103. The reversal of 30002223202100 is 120232220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002223202103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93156146 + ... + 93477654.

It is an arithmetic number, because the mean of its divisors is an integer number (915212295060).

Almost surely, 230002223202100 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 30002223202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947642622160).

30002223202100 is an abundant number, since it is smaller than the sum of its proper divisors (35893062042220).

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

30002223202100 is a wasteful number, since it uses less digits than its factorization.

30002223202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332849 (or 332842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 30002223202100 its reverse (120232220003), we get a palindrome (30122455422103).

The spelling of 30002223202100 in words is "thirty trillion, two billion, two hundred twenty-three million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 11243 22486 44972 56215 112430 224860 281075 321509 562150 643018 933169 1124300 1286036 1607545 1866338 3215090 3732676 4665845 6430180 8037725 9331690 16075450 18663380 23329225 26685247 32150900 46658450 53370494 93316900 106740988 133426235 266852470 533704940 667131175 1334262350 2668524700 3614725687 7229451374 14458902748 18073628435 36147256870 72294513740 90368142175 180736284350 300022232021 361472568700 600044464042 1200088928084 1500111160105 3000222320210 6000444640420 7500555800525 15001111601050 30002223202100