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30202112220984 = 2332111919364716073
BaseRepresentation
bin1101101110111111110100…
…01010111001111100111000
310221221021221010111101110100
412313133322022321330320
512424312411212032414
6144122354145315400
76235013332046664
oct667377212717470
9127837833441410
1030202112220984
119694709a88130
123479456335b60
1313b107c237a12
14765b0bbb98a4
1537595d8cb609
hex1b77fa2b9f38

30202112220984 has 384 divisors, whose sum is σ = 94568511398400. Its totient is φ = 8611670753280.

The previous prime is 30202112220977. The next prime is 30202112220989. The reversal of 30202112220984 is 48902221120203.

It is a happy number.

30202112220984 is a `hidden beast` number, since 30 + 202 + 112 + 220 + 98 + 4 = 666.

It is a super-2 number, since 2×302021122209842 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30202112220989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1879050772 + ... + 1879066844.

It is an arithmetic number, because the mean of its divisors is an integer number (246272165100).

Almost surely, 230202112220984 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 30202112220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47284255699200).

30202112220984 is an abundant number, since it is smaller than the sum of its proper divisors (64366399177416).

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

30202112220984 is a wasteful number, since it uses less digits than its factorization.

30202112220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16955 (or 16948 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 30202112220984 in words is "thirty trillion, two hundred two billion, one hundred twelve million, two hundred twenty thousand, nine hundred eighty-four".