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10002011001210 = 2325592238446717
BaseRepresentation
bin1001000110001100011001…
…0100000001000101111010
31022102011221100021200212200
42101203012110001011322
52302333104304014320
633134505503451030
72051423104515504
oct221430624010572
938364840250780
1010002011001210
113206913504a98
1211565592b6a76
13577254985077
1426815824cd74
1512529677a290
hex918c650117a

10002011001210 has 96 divisors (see below), whose sum is σ = 26564590241280. Its totient is φ = 2610237965184.

The previous prime is 10002011001197. The next prime is 10002011001223. The reversal of 10002011001210 is 1210011020001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10002011001197) and next prime (10002011001223).

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

It is a junction number, because it is equal to n+sod(n) for n = 10002011001192 and 10002011001201.

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 47 ways as a sum of consecutive naturals, for example, 3039229 + ... + 5407488.

It is an arithmetic number, because the mean of its divisors is an integer number (276714481680).

Almost surely, 210002011001210 is an apocalyptic number.

10002011001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002011001210 is an abundant number, since it is smaller than the sum of its proper divisors (16562579240070).

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

10002011001210 is a wasteful number, since it uses less digits than its factorization.

10002011001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447012 (or 8447009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002011001210 its reverse (1210011020001), we get a palindrome (11212022021211).

The spelling of 10002011001210 in words is "ten trillion, two billion, eleven million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 223 295 354 446 531 590 669 885 1062 1115 1338 1770 2007 2230 2655 3345 4014 5310 6690 10035 13157 20070 26314 39471 65785 78942 118413 131570 197355 236826 394710 592065 1184130 8446717 16893434 25340151 42233585 50680302 76020453 84467170 126700755 152040906 253401510 380102265 498356303 760204530 996712606 1495068909 1883617891 2491781515 2990137818 3767235782 4485206727 4983563030 5650853673 7475344545 8970413454 9418089455 11301707346 14950689090 16952561019 18836178910 22426033635 28254268365 33905122038 44852067270 56508536730 84762805095 111133455569 169525610190 222266911138 333400366707 555667277845 666800733414 1000201100121 1111334555690 1667001833535 2000402200242 3334003667070 5001005500605 10002011001210