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134400203330 = 25293122771741
BaseRepresentation
bin111110100101011100…
…0000101101001000010
3110211220120200201211112
41331022320011221002
54200222423001310
6141424222443322
712465363610331
oct1751270055102
9424816621745
10134400203330
1151aa9458008
122206a433542
13c89b6a9243
14670da37d18
1537692dc705
hex1f4ae05a42

134400203330 has 96 divisors (see below), whose sum is σ = 259678476720. Its totient is φ = 50021798400.

The previous prime is 134400203317. The next prime is 134400203341. The reversal of 134400203330 is 33302004431.

It can be written as a sum of positive squares in 8 ways, for example, as 3948488569 + 130451714761 = 62837^2 + 361181^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134400203296 and 134400203305.

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, 77196260 + ... + 77198000.

Almost surely, 2134400203330 is an apocalyptic number.

134400203330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134400203330 is a deficient number, since it is larger than the sum of its proper divisors (125278273390).

134400203330 is a wasteful number, since it uses less digits than its factorization.

134400203330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 134400203330 its reverse (33302004431), we get a palindrome (167702207761).

The spelling of 134400203330 in words is "one hundred thirty-four billion, four hundred million, two hundred three thousand, three hundred thirty".

Divisors: 1 2 5 10 29 31 58 62 145 155 277 290 310 554 899 961 1385 1741 1798 1922 2770 3482 4495 4805 8033 8587 8705 8990 9610 16066 17174 17410 27869 40165 42935 50489 53971 55738 80330 85870 100978 107942 139345 249023 252445 266197 269855 278690 482257 498046 504890 532394 539710 964514 1245115 1330985 1565159 1673101 2411285 2490230 2661970 3130318 3346202 4822570 7719713 7825795 8365505 13985453 14949967 15439426 15651590 16731010 27970906 29899934 38598565 48519929 69927265 74749835 77197130 97039858 139854530 149499670 242599645 433549043 463448977 485199290 867098086 926897954 2167745215 2317244885 4335490430 4634489770 13440020333 26880040666 67200101665 134400203330