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30011233122 = 232134310129531
BaseRepresentation
bin11011111100110011…
…110001001101100010
32212110112102121022200
4123330303301031202
5442430333424442
621441552514030
72111464162323
oct337463611542
985415377280
1030011233122
1111800616702
12599684b916
132aa37c9010
141649b3044a
15ba9ae734c
hex6fccf1362

30011233122 has 96 divisors (see below), whose sum is σ = 72366630336. Its totient is φ = 8929872000.

The previous prime is 30011233069. The next prime is 30011233123. The reversal of 30011233122 is 22133211003.

30011233122 is a `hidden beast` number, since 300 + 1 + 12 + 331 + 22 = 666.

It is a super-2 number, since 2×300112331222 (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 = 30011233095 and 30011233104.

It is not an unprimeable number, because it can be changed into a prime (30011233123) 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, 1001497 + ... + 1031027.

It is an arithmetic number, because the mean of its divisors is an integer number (753819066).

Almost surely, 230011233122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30011233122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36183315168).

30011233122 is an abundant number, since it is smaller than the sum of its proper divisors (42355397214).

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

30011233122 is a wasteful number, since it uses less digits than its factorization.

30011233122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29696 (or 29693 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30011233122 its reverse (22133211003), we get a palindrome (52144444125).

The spelling of 30011233122 in words is "thirty billion, eleven million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 101 117 129 202 234 258 303 387 559 606 774 909 1118 1313 1677 1818 2626 3354 3939 4343 5031 7878 8686 10062 11817 13029 23634 26058 29531 39087 56459 59062 78174 88593 112918 169377 177186 265779 338754 383903 508131 531558 767806 1016262 1151709 1269833 2303418 2539666 2982631 3455127 3809499 5965262 6910254 7618998 8947893 11428497 16507829 17895786 22856994 26843679 33015658 38774203 49523487 53687358 77548406 99046974 116322609 128253133 148570461 232645218 256506266 297140922 348967827 384759399 697935654 769518798 1154278197 1667290729 2308556394 3334581458 5001872187 10003744374 15005616561 30011233122