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30042311021034 = 23132943449687901
BaseRepresentation
bin1101101010010110001010…
…10001101101000111101010
310221101000110022100022212020
412311023011101231013222
512414203123110133114
6143521125215125310
76220325321212524
oct665130521550752
9127330408308766
1030042311021034
119632966408434
123452499213836
13139bc93225180
1475c0ac854a14
1537170960caa9
hex1b52c546d1ea

30042311021034 has 128 divisors (see below), whose sum is σ = 68647116384000. Its totient is φ = 8698049740800.

The previous prime is 30042311020993. The next prime is 30042311021119. The reversal of 30042311021034 is 43012011324003.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30042311020995 and 30042311021013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43328484 + ... + 44016384.

It is an arithmetic number, because the mean of its divisors is an integer number (536305596750).

Almost surely, 230042311021034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30042311021034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34323558192000).

30042311021034 is an abundant number, since it is smaller than the sum of its proper divisors (38604805362966).

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

30042311021034 is a wasteful number, since it uses less digits than its factorization.

30042311021034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688440.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30042311021034 its reverse (43012011324003), we get a palindrome (73054322345037).

The spelling of 30042311021034 in words is "thirty trillion, forty-two billion, three hundred eleven million, twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 13 26 29 39 43 58 78 86 87 129 174 258 377 449 559 754 898 1118 1131 1247 1347 1677 2262 2494 2694 3354 3741 5837 7482 11674 13021 16211 17511 19307 26042 32422 35022 38614 39063 48633 57921 78126 97266 115842 169273 250991 338546 501982 507819 559903 687901 752973 1015638 1119806 1375802 1505946 1679709 2063703 3359418 4127406 7278739 8942713 14557478 17885426 19949129 21836217 26828139 29579743 39898258 43672434 53656278 59159486 59847387 88739229 119694774 177478458 259338677 308867549 384536659 518677354 617735098 769073318 778016031 857812547 926602647 1153609977 1556032062 1715625094 1853205294 2307219954 2573437641 4015278137 5146875282 8030556274 8957158921 11151563111 12045834411 13281304607 17914317842 22303126222 24091668822 26562609214 26871476763 33454689333 39843913821 53742953526 66909378666 79687827642 116443065973 172656959891 232886131946 345313919782 349329197919 385157833603 517970879673 698658395838 770315667206 1035941759346 1155473500809 2310947001618 5007051836839 10014103673678 15021155510517 30042311021034