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1020133232220 = 2235312151117167
BaseRepresentation
bin11101101100001001010…
…11011100111001011100
310121112010211122120222110
432312010223130321130
5113203213101412340
62100350455314020
7133462565255034
oct16660453347134
93545124576873
101020133232220
113636aa684293
1214586067b910
13752764511bb
14375362d08c4
151b80904d680
hexed84adce5c

1020133232220 has 144 divisors (see below), whose sum is σ = 2971058033664. Its totient is φ = 261514512000.

The previous prime is 1020133232201. The next prime is 1020133232267. The reversal of 1020133232220 is 222323310201.

It is a happy number.

It is a super-2 number, since 2×10201332322202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 8648077 + ... + 8765243.

It is an arithmetic number, because the mean of its divisors is an integer number (20632347456).

Almost surely, 21020133232220 is an apocalyptic number.

1020133232220 is a gapful number since it is divisible by the number (10) 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 1020133232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485529016832).

1020133232220 is an abundant number, since it is smaller than the sum of its proper divisors (1950924801444).

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

1020133232220 is a wasteful number, since it uses less digits than its factorization.

1020133232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117392 (or 117359 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1020133232220 its reverse (222323310201), we get a palindrome (1242456542421).

The spelling of 1020133232220 in words is "one trillion, twenty billion, one hundred thirty-three million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 151 155 186 302 310 372 453 465 604 620 755 906 930 961 1510 1812 1860 1922 2265 2883 3020 3844 4530 4681 4805 5766 9060 9362 9610 11532 14043 14415 18724 19220 23405 28086 28830 46810 56172 57660 70215 93620 117167 140430 145111 234334 280860 290222 351501 435333 468668 580444 585835 703002 725555 870666 1171670 1406004 1451110 1741332 1757505 2176665 2343340 2902220 3515010 3632177 4353330 7030020 7264354 8706660 10896531 14528708 17692217 18160885 21793062 35384434 36321770 43586124 53076651 54482655 70768868 72643540 88461085 106153302 108965310 112597487 176922170 212306604 217930620 225194974 265383255 337792461 353844340 450389948 530766510 548458727 562987435 675584922 1061533020 1096917454 1125974870 1351169844 1645376181 1688962305 2193834908 2251949740 2742293635 3290752362 3377924610 5484587270 6581504724 6755849220 8226880905 10969174540 16453761810 17002220537 32907523620 34004441074 51006661611 68008882148 85011102685 102013323222 170022205370 204026646444 255033308055 340044410740 510066616110 1020133232220