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1213323002320 = 2451113971093399
BaseRepresentation
bin10001101001111111101…
…011111100000111010000
311021222210120021202022211
4101221333223330013100
5124334341142033240
62325220510441504
7153442163232262
oct21517753740720
94258716252284
101213323002320
11428627226a10
12177197503294
138a55387c330
1442a21b33b32
1521864691bea
hex11a7fafc1d0

1213323002320 has 160 divisors (see below), whose sum is σ = 3348323193600. Its totient is φ = 403070238720.

The previous prime is 1213323002303. The next prime is 1213323002327. The reversal of 1213323002320 is 232003233121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1213323002291 and 1213323002300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213323002327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562981 + ... + 1656379.

It is an arithmetic number, because the mean of its divisors is an integer number (20927019960).

Almost surely, 21213323002320 is an apocalyptic number.

1213323002320 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 1213323002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674161596800).

1213323002320 is an abundant number, since it is smaller than the sum of its proper divisors (2135000191280).

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

1213323002320 is a wasteful number, since it uses less digits than its factorization.

1213323002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093533 (or 1093527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1213323002320 its reverse (232003233121), we get a palindrome (1445326235441).

The spelling of 1213323002320 in words is "one trillion, two hundred thirteen billion, three hundred twenty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 97 104 110 130 143 176 194 208 220 260 286 388 440 485 520 572 715 776 880 970 1040 1067 1144 1261 1430 1552 1940 2134 2288 2522 2860 3880 4268 5044 5335 5720 6305 7760 8536 10088 10670 11440 12610 13871 17072 20176 21340 25220 27742 42680 50440 55484 69355 85360 100880 110968 138710 221936 277420 554840 1093399 1109680 2186798 4373596 5466995 8747192 10933990 12027389 14214187 17494384 21867980 24054778 28428374 43735960 48109556 56856748 60136945 71070935 87471920 96219112 106059703 113713496 120273890 142141870 156356057 192438224 212119406 227426992 240547780 284283740 312712114 424238812 481095560 530298515 568567480 625424228 781780285 848477624 962191120 1060597030 1137134960 1166656733 1250848456 1378776139 1563560570 1696955248 2121194060 2333313466 2501696912 2757552278 3127121140 4242388120 4666626932 5515104556 5833283665 6254242280 6893880695 8484776240 9333253864 11030209112 11666567330 12508484560 13787761390 15166537529 18666507728 22060418224 23333134660 27575522780 30333075058 46666269320 55151045560 60666150116 75832687645 93332538640 110302091120 121332300232 151665375290 242664600464 303330750580 606661501160 1213323002320