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1003012201002 = 2371710359922769
BaseRepresentation
bin11101001100010000010…
…11111001101000101010
310112212221122102002110010
432212020023321220222
5112413132110413002
62044435532232350
7132315402016110
oct16461013715052
93485848362403
101003012201002
1135741426a109
1214248290b6b6
13737783626b6
1436790507ab0
151b155e1a46c
hexe9882f9a2a

1003012201002 has 128 divisors (see below), whose sum is σ = 2455225344000. Its totient is φ = 266641330176.

The previous prime is 1003012200929. The next prime is 1003012201027. The reversal of 1003012201002 is 2001022103001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44040274 + ... + 44063042.

It is an arithmetic number, because the mean of its divisors is an integer number (19181448000).

Almost surely, 21003012201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003012201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227612672000).

1003012201002 is an abundant number, since it is smaller than the sum of its proper divisors (1452213142998).

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

1003012201002 is a wasteful number, since it uses less digits than its factorization.

1003012201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23500.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1003012201002 its reverse (2001022103001), we get a palindrome (3004034304003).

The spelling of 1003012201002 in words is "one trillion, three billion, twelve million, two hundred one thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 103 119 206 238 309 357 599 618 714 721 1198 1442 1751 1797 2163 3502 3594 4193 4326 5253 8386 10183 10506 12257 12579 20366 22769 24514 25158 30549 36771 45538 61098 61697 68307 71281 73542 123394 136614 142562 159383 185091 213843 318766 370182 387073 427686 431879 478149 774146 863758 956298 1048849 1161219 1295637 2097698 2322438 2345207 2591274 2709511 3146547 4690414 5419022 6293094 7035621 7341943 8128533 13638631 14071242 14683886 16257066 16416449 22025829 27277262 32832898 39868519 40915893 44051658 49249347 79737038 81831786 95470417 98498694 119605557 190940834 231856727 239211114 279079633 286411251 463713454 558159266 572822502 695570181 837238899 1391140362 1404778993 1622997089 1674477798 2809557986 3245994178 4214336979 4868991267 8428673958 9737982534 9833452951 19666905902 23881242881 29500358853 47762485762 59000717706 71643728643 143287457286 167168700167 334337400334 501506100501 1003012201002