Search a number
-
+
10110011001210 = 23251575519129643
BaseRepresentation
bin1001001100011110101110…
…0111010100100101111010
31022210111201001100011000200
42103013223213110211322
52311120300304014320
633300250330343030
72062265332414251
oct223075347244572
938714631304020
1010110011001210
1132486a470853a
12117347a28aa76
135844a6a07903
1426d481977798
15127eb7eb0290
hex931eb9d497a

10110011001210 has 96 divisors (see below), whose sum is σ = 26458452783360. Its totient is φ = 2678324897664.

The previous prime is 10110011001193. The next prime is 10110011001227. The reversal of 10110011001210 is 1210011001101.

It is an interprime number because it is at equal distance from previous prime (10110011001193) and next prime (10110011001227).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10110011001192 and 10110011001201.

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, 77918649 + ... + 78048291.

It is an arithmetic number, because the mean of its divisors is an integer number (275608883160).

Almost surely, 210110011001210 is an apocalyptic number.

10110011001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110011001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229226391680).

10110011001210 is an abundant number, since it is smaller than the sum of its proper divisors (16348441782150).

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

10110011001210 is a wasteful number, since it uses less digits than its factorization.

10110011001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135332 (or 135329 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10110011001210 its reverse (1210011001101), we get a palindrome (11320022002311).

The spelling of 10110011001210 in words is "ten trillion, one hundred ten billion, eleven million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 5519 7065 11038 14130 16557 27595 33114 49671 55190 82785 99342 129643 165570 248355 259286 388929 496710 648215 777858 866483 1166787 1296430 1732966 1944645 2333574 2599449 3889290 4332415 5198898 5833935 7798347 8664830 11667870 12997245 15596694 20353951 25994490 38991735 40707902 61061853 77983470 101769755 122123706 183185559 203539510 305309265 366371118 610618530 715499717 915927795 1430999434 1831855590 2146499151 3577498585 4292998302 6439497453 7154997170 10732495755 12878994906 21464991510 32197487265 64394974530 112333455569 224666911138 337000366707 561667277845 674000733414 1011001100121 1123334555690 1685001833535 2022002200242 3370003667070 5055005500605 10110011001210