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30021233022 = 23211599412731
BaseRepresentation
bin11011111101011001…
…111010100101111110
32212111020020122121100
4123331121322211332
5442440413424042
621442551113530
72111645161464
oct337531724576
985436218540
1030021233022
1111806226790
12599a0728a6
132aa58ba811
14164b1b4834
15baa92024c
hex6fd67a97e

30021233022 has 96 divisors (see below), whose sum is σ = 72265115520. Its totient is φ = 8930376000.

The previous prime is 30021233017. The next prime is 30021233029. The reversal of 30021233022 is 22033212003.

It is a happy number.

30021233022 is a `hidden beast` number, since 300 + 2 + 12 + 330 + 22 = 666.

It is a super-2 number, since 2×300212330222 (a number of 22 digits) contains 22 as substring.

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 = 30021232986 and 30021233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30021233029) 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, 10991397 + ... + 10994127.

It is an arithmetic number, because the mean of its divisors is an integer number (752761620).

Almost surely, 230021233022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30021233022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36132557760).

30021233022 is an abundant number, since it is smaller than the sum of its proper divisors (42243882498).

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

30021233022 is a wasteful number, since it uses less digits than its factorization.

30021233022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30021233022 its reverse (22033212003), we get a palindrome (52054445025).

The spelling of 30021233022 in words is "thirty billion, twenty-one million, two hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 941 1062 1298 1882 1947 2731 2823 3894 5462 5646 5841 8193 8469 10351 11682 16386 16938 20702 24579 30041 31053 49158 55519 60082 62106 90123 93159 111038 161129 166557 180246 186318 270369 322258 333114 483387 499671 540738 610709 966774 999342 1221418 1450161 1772419 1832127 2569871 2900322 3544838 3664254 5139742 5317257 5496381 7709613 10634514 10992762 15419226 15951771 23128839 28268581 31903542 46257678 56537162 84805743 151622389 169611486 254417229 303244778 454867167 508834458 909734334 1364601501 1667846279 2729203002 3335692558 5003538837 10007077674 15010616511 30021233022