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1303122111132 = 2235370910312803
BaseRepresentation
bin10010111101101000001…
…000010110101010011100
311121120120211011010112210
4102331220020112222130
5132322243230024012
62434351313200420
7163101403120242
oct22755010265234
94546524133483
101303122111132
11462718506526
12190678b60110
1395b64b9478a
144710009a792
1523d6d08a23c
hex12f68216a9c

1303122111132 has 96 divisors (see below), whose sum is σ = 3106474882560. Its totient is φ = 425012739840.

The previous prime is 1303122111131. The next prime is 1303122111167. The reversal of 1303122111132 is 2311112213031.

It is a super-4 number, since 4×13031221111324 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1303122111099 and 1303122111108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303122111131) 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 31 ways as a sum of consecutive naturals, for example, 464901243 + ... + 464904045.

It is an arithmetic number, because the mean of its divisors is an integer number (32359113360).

Almost surely, 21303122111132 is an apocalyptic number.

1303122111132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1303122111132 is an abundant number, since it is smaller than the sum of its proper divisors (1803352771428).

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

1303122111132 is a wasteful number, since it uses less digits than its factorization.

1303122111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1303122111132 its reverse (2311112213031), we get a palindrome (3614234324163).

The spelling of 1303122111132 in words is "one trillion, three hundred three billion, one hundred twenty-two million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 709 1031 1418 2062 2127 2803 2836 3093 4124 4254 5606 6186 8409 8508 11212 12372 16818 33636 37577 54643 75154 109286 112731 148559 150308 163929 218572 225462 297118 327858 445677 450924 594236 655716 730979 891354 1461958 1782708 1987327 2192937 2889893 2923916 3974654 4385874 5779786 5961981 7949308 8669679 8771748 11559572 11923962 17339358 23847924 34678716 38741887 77483774 105328331 116225661 153164329 154967548 210656662 232451322 306328658 315984993 421313324 459492987 464902644 612657316 631969986 918985974 1263939972 1837971948 2048934137 4097868274 6146802411 8195736548 12293604822 24587209644 108593509261 217187018522 325780527783 434374037044 651561055566 1303122111132