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1023120131232 = 25343967256307
BaseRepresentation
bin11101110001101101011…
…01100100010010100000
310121210212000000210010210
432320312231210102200
5113230322223144412
62102003115054120
7133626604424313
oct16706655442240
93553760023123
101023120131232
113649a2706771
12146354a41340
13756311c9574
143773ac8697a
151b9313a583c
hexee36b644a0

1023120131232 has 96 divisors (see below), whose sum is σ = 2751000924672. Its totient is φ = 332763105024.

The previous prime is 1023120131213. The next prime is 1023120131303. The reversal of 1023120131232 is 2321310213201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1023120131199 and 1023120131208.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3863623 + ... + 4119929.

It is an arithmetic number, because the mean of its divisors is an integer number (28656259632).

Almost surely, 21023120131232 is an apocalyptic number.

1023120131232 is a gapful number since it is divisible by the number (12) 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 1023120131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375500462336).

1023120131232 is an abundant number, since it is smaller than the sum of its proper divisors (1727880793440).

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

1023120131232 is a wasteful number, since it uses less digits than its factorization.

1023120131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257330 (or 257322 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1023120131232 its reverse (2321310213201), we get a palindrome (3344430344433).

The spelling of 1023120131232 in words is "one trillion, twenty-three billion, one hundred twenty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 967 1032 1376 1934 2064 2901 3868 4128 5802 7736 11604 15472 23208 30944 41581 46416 83162 92832 124743 166324 249486 256307 332648 498972 512614 665296 768921 997944 1025228 1330592 1537842 1995888 2050456 3075684 3991776 4100912 6151368 8201824 11021201 12302736 22042402 24605472 33063603 44084804 66127206 88169608 132254412 176339216 247848869 264508824 352678432 495697738 529017648 743546607 991395476 1058035296 1487093214 1982790952 2974186428 3965581904 5948372856 7931163808 10657501367 11896745712 21315002734 23793491424 31972504101 42630005468 63945008202 85260010936 127890016404 170520021872 255780032808 341040043744 511560065616 1023120131232