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1312023202310 = 2517294140116187
BaseRepresentation
bin10011000101111010101…
…011010100101000000110
311122102120011010102011102
4103011322223110220012
5132444010414433220
62442422442340102
7163535105132342
oct23057253245006
94572504112142
101312023202310
11466475991027
12192341aba632
1396952cc3b32
14477062c6622
15241de72a775
hex1317aad4a06

1312023202310 has 128 divisors (see below), whose sum is σ = 2656652826240. Its totient is φ = 464084992000.

The previous prime is 1312023202283. The next prime is 1312023202319. The reversal of 1312023202310 is 132023202131.

It is a super-2 number, since 2×13120232023102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312023202319) 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 63 ways as a sum of consecutive naturals, for example, 81046037 + ... + 81062223.

It is an arithmetic number, because the mean of its divisors is an integer number (20755100205).

Almost surely, 21312023202310 is an apocalyptic number.

1312023202310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312023202310 is an abundant number, since it is smaller than the sum of its proper divisors (1344629623930).

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

1312023202310 is a wasteful number, since it uses less digits than its factorization.

1312023202310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16682.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1312023202310 its reverse (132023202131), we get a palindrome (1444046404441).

The spelling of 1312023202310 in words is "one trillion, three hundred twelve billion, twenty-three million, two hundred two thousand, three hundred ten".

Divisors: 1 2 5 10 17 29 34 41 58 82 85 145 170 205 290 401 410 493 697 802 986 1189 1394 2005 2378 2465 3485 4010 4930 5945 6817 6970 11629 11890 13634 16187 16441 20213 23258 32374 32882 34085 40426 58145 68170 80935 82205 101065 116290 161870 164410 197693 202130 275179 279497 395386 469423 476789 550358 558994 663667 938846 953578 988465 1327334 1375895 1397485 1976930 2347115 2383945 2751790 2794970 3318335 4694230 4767890 6490987 6636670 7980191 8105413 11282339 12981974 15960382 16210826 19246343 22564678 32454935 38492686 39900955 40527065 56411695 64909870 79801910 81054130 96231715 110346779 112823390 188238623 192463430 220693558 266130467 327187831 376477246 532260934 551733895 654375662 941193115 1103467790 1330652335 1635939155 1882386230 2661304670 3200056591 3271878310 4524217939 6400113182 7717783543 9048435878 15435567086 16000282955 22621089695 32000565910 38588917715 45242179390 77177835430 131202320231 262404640462 656011601155 1312023202310