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30321100303020 = 223251738831102721
BaseRepresentation
bin1101110010011101011100…
…11010011010101010101100
310222100200001121120020110200
412321032232122122222230
512433240103134144040
6144253153213033500
76246425063053152
oct671165632325254
9128320047506420
1030321100303020
11973011971930a
123498523185890
1313bc3628a1357
1476b7989913d2
15378ac4ae9630
hex1b93ae69aaac

30321100303020 has 144 divisors (see below), whose sum is σ = 92610492784992. Its totient is φ = 8029777674240.

The previous prime is 30321100303001. The next prime is 30321100303031. The reversal of 30321100303020 is 2030300112303.

30321100303020 is a `hidden beast` number, since 3 + 0 + 321 + 10 + 0 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×303211003030202 (a number of 28 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 = 30321100302984 and 30321100303002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26945260 + ... + 28047980.

It is an arithmetic number, because the mean of its divisors is an integer number (643128422118).

Almost surely, 230321100303020 is an apocalyptic number.

30321100303020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30321100303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46305246392496).

30321100303020 is an abundant number, since it is smaller than the sum of its proper divisors (62289392481972).

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

30321100303020 is a wasteful number, since it uses less digits than its factorization.

30321100303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103792 (or 1103787 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30321100303020 its reverse (2030300112303), we get a palindrome (32351400415323).

The spelling of 30321100303020 in words is "thirty trillion, three hundred twenty-one billion, one hundred million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 883 1038 1557 1730 1766 2076 2595 2649 3114 3460 3532 4415 5190 5298 6228 7785 7947 8830 10380 10596 13245 15570 15894 17660 26490 31140 31788 39735 52980 79470 152759 158940 305518 458277 611036 763795 916554 1102721 1374831 1527590 1833108 2205442 2291385 2749662 3055180 3308163 4410884 4582770 5499324 5513605 6616326 6874155 9165540 9924489 11027210 13232652 13748310 16540815 19848978 22054420 27496620 33081630 39697956 49622445 66163260 99244890 190770733 198489780 381541466 572312199 763082932 953853665 973702643 1144624398 1716936597 1907707330 1947405286 2289248796 2861560995 2921107929 3433873194 3815414660 3894810572 4868513215 5723121990 5842215858 6867746388 8584682985 8763323787 9737026430 11446243980 11684431716 14605539645 17169365970 17526647574 19474052860 29211079290 34338731940 35053295148 43816618935 58422158580 87633237870 168450557239 175266475740 336901114478 505351671717 673802228956 842252786195 1010703343434 1516055015151 1684505572390 2021406686868 2526758358585 3032110030302 3369011144780 5053516717170 6064220060604 7580275075755 10107033434340 15160550151510 30321100303020