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1210320031120 = 245107409523661
BaseRepresentation
bin10001100111001100101…
…100100000110110010000
311021201001021200000021021
4101213030230200312100
5124312213411443440
62324002514405224
7153304600343224
oct21471454406620
94251037600237
101210320031120
11427326117232
12176699890814
138a1956975b5
1442818d96784
152173ac1284a
hex119ccb20d90

1210320031120 has 160 divisors (see below), whose sum is σ = 2856997319040. Its totient is φ = 476793630720.

The previous prime is 1210320031093. The next prime is 1210320031139. The reversal of 1210320031120 is 211300230121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1210320031094 and 1210320031103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831043590 + ... + 1831044250.

It is an arithmetic number, because the mean of its divisors is an integer number (17856233244).

Almost surely, 21210320031120 is an apocalyptic number.

1210320031120 is a gapful number since it is divisible by the number (10) 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 1210320031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428498659520).

1210320031120 is an abundant number, since it is smaller than the sum of its proper divisors (1646677287920).

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

1210320031120 is a wasteful number, since it uses less digits than its factorization.

1210320031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1210320031120 its reverse (211300230121), we get a palindrome (1421620261241).

The spelling of 1210320031120 in words is "one trillion, two hundred ten billion, three hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 409 428 523 535 661 818 856 1046 1070 1322 1636 1712 2045 2092 2140 2615 2644 3272 3305 4090 4184 4280 5230 5288 6544 6610 8180 8368 8560 10460 10576 13220 16360 20920 26440 32720 41840 43763 52880 55961 70727 87526 111922 141454 175052 213907 218815 223844 270349 279805 282908 345703 350104 353635 427814 437630 447688 540698 559610 565816 691406 700208 707270 855628 875260 895376 1069535 1081396 1119220 1131632 1351745 1382812 1414540 1711256 1728515 1750520 2139070 2162792 2238440 2703490 2765624 2829080 3422512 3457030 3501040 4278140 4325584 4476880 5406980 5531248 5658160 6914060 8556280 10813960 13828120 17112560 21627920 22888049 27656240 28927343 36990221 45776098 57854686 73980442 91552196 114440245 115709372 141392527 144636715 147960884 183104392 184951105 228880490 231418744 282785054 289273430 295921768 366208784 369902210 457760980 462837488 565570108 578546860 591843536 706962635 739804420 915521960 1131140216 1157093720 1413925270 1479608840 1831043920 2262280432 2314187440 2827850540 2959217680 5655701080 11311402160 15129000389 30258000778 60516001556 75645001945 121032003112 151290003890 242064006224 302580007780 605160015560 1210320031120