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10313123101320 = 23351311235886889
BaseRepresentation
bin1001011000010011011000…
…0010011111101010001000
31100111220222021120220022010
42112010312002133222020
52322432234003220240
633533441111455520
72113045542653364
oct226046602375210
940456867526263
1010313123101320
1133168531455a6
1211a69040875a0
1359a6a59ca530
1427922d0c22a4
1512d40476d280
hex9613609fa88

10313123101320 has 128 divisors (see below), whose sum is σ = 33348996374400. Its totient is φ = 2536353921024.

The previous prime is 10313123101291. The next prime is 10313123101327. The reversal of 10313123101320 is 2310132131301.

It is a happy number.

It is a super-4 number, since 4×103131231013204 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10313123101327) 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, 1191565 + ... + 4695324.

It is an arithmetic number, because the mean of its divisors is an integer number (260539034175).

Almost surely, 210313123101320 is an apocalyptic number.

10313123101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313123101320 is an abundant number, since it is smaller than the sum of its proper divisors (23035873273080).

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

10313123101320 is a wasteful number, since it uses less digits than its factorization.

10313123101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888039 (or 5888035 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10313123101320 its reverse (2310132131301), we get a palindrome (12623255232621).

The spelling of 10313123101320 in words is "ten trillion, three hundred thirteen billion, one hundred twenty-three million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1123 1560 2246 3369 4492 5615 6738 8984 11230 13476 14599 16845 22460 26952 29198 33690 43797 44920 58396 67380 72995 87594 116792 134760 145990 175188 218985 291980 350376 437970 583960 875940 1751880 5886889 11773778 17660667 23547556 29434445 35321334 47095112 58868890 70642668 76529557 88303335 117737780 141285336 153059114 176606670 229588671 235475560 306118228 353213340 382647785 459177342 612236456 706426680 765295570 918354684 1147943355 1530591140 1836709368 2295886710 3061182280 4591773420 6610976347 9183546840 13221952694 19832929041 26443905388 33054881735 39665858082 52887810776 66109763470 79331716164 85942692511 99164645205 132219526940 158663432328 171885385022 198329290410 257828077533 264439053880 343770770044 396658580820 429713462555 515656155066 687541540088 793317161640 859426925110 1031312310132 1289140387665 1718853850220 2062624620264 2578280775330 3437707700440 5156561550660 10313123101320