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30312331020 = 223251092715701
BaseRepresentation
bin11100001110110000…
…010111011100001100
32220020111222221222200
4130032300113130030
5444034424043040
621531510241500
72122111363626
oct341660273414
986214887880
1030312331020
111194557aa44
125a5b656290
132b20cbc75a
141677b0bc16
15bc6271630
hex70ec1770c

30312331020 has 144 divisors (see below), whose sum is σ = 93149696640. Its totient is φ = 7978176000.

The previous prime is 30312331013. The next prime is 30312331031. The reversal of 30312331020 is 2013321303.

30312331020 is a `hidden beast` number, since 3 + 0 + 312 + 331 + 0 + 20 = 666.

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 = 30312330984 and 30312331002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5314170 + ... + 5319870.

Almost surely, 230312331020 is an apocalyptic number.

30312331020 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 30312331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46574848320).

30312331020 is an abundant number, since it is smaller than the sum of its proper divisors (62837365620).

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

30312331020 is a wasteful number, since it uses less digits than its factorization.

30312331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6091 counting only the distinct ones).

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

Adding to 30312331020 its reverse (2013321303), we get a palindrome (32325652323).

The spelling of 30312331020 in words is "thirty billion, three hundred twelve million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 271 327 436 542 545 654 813 981 1084 1090 1308 1355 1626 1635 1962 2180 2439 2710 3252 3270 3924 4065 4878 4905 5420 5701 6540 8130 9756 9810 11402 12195 16260 17103 19620 22804 24390 28505 29539 34206 48780 51309 57010 59078 68412 85515 88617 102618 114020 118156 147695 171030 177234 205236 256545 265851 295390 342060 354468 443085 513090 531702 590780 621409 886170 1026180 1063404 1242818 1329255 1544971 1772340 1864227 2485636 2658510 3089942 3107045 3728454 4634913 5317020 5592681 6179884 6214090 7456908 7724855 9269826 9321135 11185362 12428180 13904739 15449710 18539652 18642270 22370724 23174565 27809478 27963405 30899420 37284540 46349130 55618956 55926810 69523695 92698260 111853620 139047390 168401839 278094780 336803678 505205517 673607356 842009195 1010411034 1515616551 1684018390 2020822068 2526027585 3031233102 3368036780 5052055170 6062466204 7578082755 10104110340 15156165510 30312331020