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11313231213100 = 2252534916616577
BaseRepresentation
bin1010010010100001000100…
…1000001011001000101100
31111001112102112102222021011
42210220101020023020230
52440323444142304400
640021120543315004
72245232262441205
oct244502110131054
944045375388234
1011313231213100
113671a070a2473
1213286b62aba64
13640aaa4b9b2b
142b17c5a2c5ac
1514943a73c8ba
hexa4a1120b22c

11313231213100 has 144 divisors (see below), whose sum is σ = 25105591326816. Its totient is φ = 4423491072000.

The previous prime is 11313231213073. The next prime is 11313231213127. The reversal of 11313231213100 is 131213231311.

It is an interprime number because it is at equal distance from previous prime (11313231213073) and next prime (11313231213127).

It is a super-2 number, since 2×113132312131002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720117012 + ... + 1720123588.

It is an arithmetic number, because the mean of its divisors is an integer number (174344384214).

Almost surely, 211313231213100 is an apocalyptic number.

11313231213100 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 11313231213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552795663408).

11313231213100 is an abundant number, since it is smaller than the sum of its proper divisors (13792360113716).

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

11313231213100 is a wasteful number, since it uses less digits than its factorization.

11313231213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11313231213100 its reverse (131213231311), we get a palindrome (11444444444411).

The spelling of 11313231213100 in words is "eleven trillion, three hundred thirteen billion, two hundred thirty-one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 491 530 661 982 1060 1322 1325 1964 2455 2644 2650 3305 4910 5300 6577 6610 9820 12275 13154 13220 16525 24550 26023 26308 32885 33050 35033 49100 52046 65770 66100 70066 104092 130115 131540 140132 164425 175165 260230 324551 328850 348581 350330 520460 649102 650575 657700 697162 700660 875825 1298204 1301150 1394324 1622755 1742905 1751650 2602300 3229307 3245510 3485810 3503300 4347397 6458614 6491020 6971620 8113775 8694794 8714525 12917228 16146535 16227550 17201203 17389588 17429050 21736985 32293070 32455100 34402406 34858100 43473970 64586140 68804812 80732675 86006015 86947940 108684925 161465350 171153271 172012030 217369850 230412041 322930700 342306542 344024060 430030075 434739700 460824082 684613084 855766355 860060150 921648164 1152060205 1711532710 1720120300 2134571927 2304120410 3423065420 4269143854 4278831775 4608240820 5760301025 8538287708 8557663550 10672859635 11520602050 17115327100 21345719270 23041204100 42691438540 53364298175 106728596350 113132312131 213457192700 226264624262 452529248524 565661560655 1131323121310 2262646242620 2828307803275 5656615606550 11313231213100