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30127331300 = 22521131786399
BaseRepresentation
bin11100000011101110…
…101001011111100100
32212202121220000002012
4130003232221133210
5443200044100200
621501301133352
72114404043063
oct340356513744
985677800065
1030127331300
1111860102a10
125a096ba258
132ac1887c71
14165b3121da
15bb4dcba35
hex703ba97e4

30127331300 has 72 divisors (see below), whose sum is σ = 71545420800. Its totient is φ = 10920707200.

The previous prime is 30127331293. The next prime is 30127331317. The reversal of 30127331300 is 313372103.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305501 + ... + 391899.

It is an arithmetic number, because the mean of its divisors is an integer number (993686400).

Almost surely, 230127331300 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 30127331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35772710400).

30127331300 is an abundant number, since it is smaller than the sum of its proper divisors (41418089500).

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

30127331300 is a wasteful number, since it uses less digits than its factorization.

30127331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86741 (or 86734 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 23.

The spelling of 30127331300 in words is "thirty billion, one hundred twenty-seven million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 317 550 634 1100 1268 1585 3170 3487 6340 6974 7925 13948 15850 17435 31700 34870 69740 86399 87175 172798 174350 345596 348700 431995 863990 950389 1727980 1900778 2159975 3801556 4319950 4751945 8639900 9503890 19007780 23759725 27388483 47519450 54776966 95038900 109553932 136942415 273884830 301273313 547769660 602546626 684712075 1205093252 1369424150 1506366565 2738848300 3012733130 6025466260 7531832825 15063665650 30127331300