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1213323213102 = 23711131997101161
BaseRepresentation
bin10001101001111111101…
…100101111100100101110
311021222210120200110110120
4101221333230233210232
5124334341220304402
62325220515145410
7153442165100640
oct21517754574456
94258716613416
101213323213102
11428627360310
121771975a5266
138a553924260
1442a21b8a890
15218646d43bc
hex11a7fb2f92e

1213323213102 has 128 divisors (see below), whose sum is σ = 3259818390528. Its totient is φ = 290758118400.

The previous prime is 1213323213083. The next prime is 1213323213103. The reversal of 1213323213102 is 2013123233121.

It is a super-2 number, since 2×12133232131022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213323213103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11943402 + ... + 12044562.

It is an arithmetic number, because the mean of its divisors is an integer number (25467331176).

Almost surely, 21213323213102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213323213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629909195264).

1213323213102 is an abundant number, since it is smaller than the sum of its proper divisors (2046495177426).

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

1213323213102 is a wasteful number, since it uses less digits than its factorization.

1213323213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103194.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1213323213102 its reverse (2013123233121), we get a palindrome (3226446446223).

The spelling of 1213323213102 in words is "one trillion, two hundred thirteen billion, three hundred twenty-three million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1997 2002 3003 3994 5991 6006 11982 13979 21967 25961 27958 41937 43934 51922 65901 77883 83874 101161 131802 153769 155766 181727 202322 285571 303483 307538 363454 461307 545181 571142 606966 708127 856713 922614 1090362 1112771 1315093 1416254 1713426 1998997 2124381 2225542 2630186 3338313 3945279 3997994 4248762 5996991 6676626 7789397 7890558 9205651 11993982 14466023 15578794 18411302 23368191 27616953 28932046 43398069 46736382 55233906 86796138 101262161 202018517 202524322 303786483 404037034 606055551 607572966 1212111102 1414129619 2222203687 2626240721 2828259238 4242388857 4444407374 5252481442 6666611061 7878722163 8484777714 13333222122 15555425809 15757444326 18383685047 28888647931 31110851618 36767370094 46666277427 55151055141 57777295862 86665943793 93332554854 110302110282 173331887586 202220535517 404441071034 606661606551 1213323213102