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330023131020 = 2232511166678349
BaseRepresentation
bin1001100110101101110…
…10010101011110001100
31011112211212202002220200
410303112322111132030
520401341410143040
6411335513013500
732562165220512
oct4632672253614
91145755662820
10330023131020
11117a644a9a80
1253b640b4290
1325175c322ab
1411d8a68c4b2
1588b8356630
hex4cd6e9578c

330023131020 has 72 divisors (see below), whose sum is σ = 1092076549200. Its totient is φ = 80005607040.

The previous prime is 330023131013. The next prime is 330023131079. The reversal of 330023131020 is 20131320033.

330023131020 is a `hidden beast` number, since 3 + 300 + 2 + 31 + 310 + 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 = 330023130984 and 330023131002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83337195 + ... + 83341154.

It is an arithmetic number, because the mean of its divisors is an integer number (15167729850).

Almost surely, 2330023131020 is an apocalyptic number.

330023131020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330023131020 is an abundant number, since it is smaller than the sum of its proper divisors (762053418180).

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

330023131020 is a wasteful number, since it uses less digits than its factorization.

330023131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166678375 (or 166678370 counting only the distinct ones).

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

Adding to 330023131020 its reverse (20131320033), we get a palindrome (350154451053).

The spelling of 330023131020 in words is "three hundred thirty billion, twenty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 166678349 333356698 500035047 666713396 833391745 1000070094 1500105141 1666783490 1833461839 2000140188 2500175235 3000210282 3333566980 3666923678 5000350470 5500385517 6000420564 7333847356 7500525705 9167309195 10000700940 11000771034 15001051410 16501156551 18334618390 22001542068 27501927585 30002102820 33002313102 36669236780 55003855170 66004626204 82505782755 110007710340 165011565510 330023131020