Search a number
-
+
3303121331434 = 231711092137461
BaseRepresentation
bin110000000100010001010…
…111111010010011101010
3102200202221012112100222011
4300010101113322103222
5413104243030101214
611005233305350134
7460433266030201
oct60042127722352
912622835470864
103303121331434
111063933974531
1245420079834a
131ac638214c92
14b5c2c7c6238
155adc5e61ac4
hex301115fa4ea

3303121331434 has 96 divisors (see below), whose sum is σ = 5284211530752. Its totient is φ = 1546558272000.

The previous prime is 3303121331371. The next prime is 3303121331437. The reversal of 3303121331434 is 4341331213033.

It is a super-2 number, since 2×33031213314342 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 3303121331396 and 3303121331405.

It is not an unprimeable number, because it can be changed into a prime (3303121331437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7165121964 + ... + 7165122424.

It is an arithmetic number, because the mean of its divisors is an integer number (55043870112).

Almost surely, 23303121331434 is an apocalyptic number.

3303121331434 is a deficient number, since it is larger than the sum of its proper divisors (1981090199318).

3303121331434 is a wasteful number, since it uses less digits than its factorization.

3303121331434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 3303121331434 its reverse (4341331213033), we get a palindrome (7644452544467).

The spelling of 3303121331434 in words is "three trillion, three hundred three billion, one hundred twenty-one million, three hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 31 62 71 109 137 142 218 274 461 922 2201 3379 4247 4402 6758 7739 8494 9727 11881 14291 14933 15478 19454 23762 28582 29866 32731 50249 63157 65462 100498 126314 239909 301537 368311 462923 479818 603074 736622 843551 925846 1014661 1060243 1557719 1627697 1687102 1957867 2029322 2120486 3115438 3255394 3567679 3915734 4484147 5477141 6884113 7135358 8968294 10954282 13768226 26150081 32867533 50458607 52300162 65735066 100917214 110598049 115566487 139008557 169791371 213407503 221196098 231132974 278017114 339582742 388877011 426815006 488772023 750368317 777754022 977544046 1500736634 3582561097 7165122194 12055187341 15151932713 23261417827 24110374682 30303865426 46522835654 53276150507 106552301014 1651560665717 3303121331434