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30212400042 = 232111929276929
BaseRepresentation
bin11100001000110011…
…001010001110101010
32212222112221221110100
4130020303022032222
5443333333300132
621513540330230
72116456106646
oct341063121652
985875857410
1030212400042
11118a4126360
125a320a3976
132b063a14b6
141668737c26
15bbc5d237c
hex708cca3aa

30212400042 has 96 divisors (see below), whose sum is σ = 77761944000. Its totient is φ = 8374302720.

The previous prime is 30212400011. The next prime is 30212400047. The reversal of 30212400042 is 24000421203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30212399988 and 30212400024.

It is not an unprimeable number, because it can be changed into a prime (30212400047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29367 + ... + 247562.

It is an arithmetic number, because the mean of its divisors is an integer number (810020250).

Almost surely, 230212400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30212400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880972000).

30212400042 is an abundant number, since it is smaller than the sum of its proper divisors (47549543958).

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

30212400042 is a wasteful number, since it uses less digits than its factorization.

30212400042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276996 (or 276993 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30212400042 its reverse (24000421203), we get a palindrome (54212821245).

The spelling of 30212400042 in words is "thirty billion, two hundred twelve million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 29 33 38 57 58 66 87 99 114 171 174 198 209 261 319 342 418 522 551 627 638 957 1102 1254 1653 1881 1914 2871 3306 3762 4959 5742 6061 9918 12122 18183 36366 54549 109098 276929 553858 830787 1661574 2492361 3046219 4984722 5261651 6092438 8030941 9138657 10523302 15784953 16061882 18277314 24092823 27415971 31569906 47354859 48185646 54831942 57878161 72278469 88340351 94709718 115756322 144556938 152587879 173634483 176680702 265021053 305175758 347268966 457763637 520903449 530042106 795063159 915527274 1041806898 1373290911 1590126318 1678466669 2746581822 3356933338 5035400007 10070800014 15106200021 30212400042