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1310212111320 = 233257274275063
BaseRepresentation
bin10011000100001110101…
…110100011101111011000
311122020212221020110101100
4103010032232203233120
5132431303300030240
62441523024351400
7163442164122600
oct23041656435730
94566787213340
101310212111320
11465726641612
12191b17475560
1396724a1c768
14475b3963c00
1524135730e30
hex1310eba3bd8

1310212111320 has 144 divisors (see below), whose sum is σ = 4953404018160. Its totient is φ = 299477049984.

The previous prime is 1310212111303. The next prime is 1310212111367. The reversal of 1310212111320 is 231112120131.

1310212111320 is a `hidden beast` number, since 1 + 310 + 2 + 1 + 21 + 11 + 320 = 666.

It is a super-2 number, since 2×13102121113202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310212111293 and 1310212111302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37119892 + ... + 37155171.

It is an arithmetic number, because the mean of its divisors is an integer number (34398639015).

Almost surely, 21310212111320 is an apocalyptic number.

1310212111320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310212111320 is an abundant number, since it is smaller than the sum of its proper divisors (3643191906840).

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

1310212111320 is a wasteful number, since it uses less digits than its factorization.

1310212111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74275094 (or 74275080 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1310212111320 its reverse (231112120131), we get a palindrome (1541324231451).

The spelling of 1310212111320 in words is "one trillion, three hundred ten billion, two hundred twelve million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 74275063 148550126 222825189 297100252 371375315 445650378 519925441 594200504 668475567 742750630 891300756 1039850882 1114125945 1336951134 1485501260 1559776323 1782601512 2079701764 2228251890 2599627205 2673902268 2971002520 3119552646 3342377835 3639478087 4159403528 4456503780 4679328969 5199254410 5347804536 6239105292 6684755670 7278956174 7798881615 8913007560 9358657938 10398508820 10918434261 12478210584 13369511340 14557912348 15597763230 18197390435 18717315876 20797017640 21836868522 23396644845 26739022680 29115824696 31195526460 32755302783 36394780870 37434631752 43673737044 46793289690 54592171305 62391052920 65510605566 72789561740 87347474088 93586579380 109184342610 131021211132 145579123480 163776513915 187173158760 218368685220 262042422264 327553027830 436737370440 655106055660 1310212111320