Search a number
-
+
30033100001300 = 225211671009940351
BaseRepresentation
bin1101101010000101000000…
…10000011101000000010100
310221100010200101012001012012
412311002200100131000110
512414030242100020200
6143513003215043352
76216551133636554
oct665024020350024
9127303611161165
1030033100001300
119629a69a97a30
123450748510558
13139b155b2cb36
1475b8773cd164
1537136ab4ba35
hex1b50a041d014

30033100001300 has 144 divisors (see below), whose sum is σ = 72166614374400. Its totient is φ = 10756793520000.

The previous prime is 30033100001297. The next prime is 30033100001327. The reversal of 30033100001300 is 310000133003.

It is a congruent number.

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, 744276125 + ... + 744316475.

Almost surely, 230033100001300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30033100001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36083307187200).

30033100001300 is an abundant number, since it is smaller than the sum of its proper divisors (42133514373100).

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

30033100001300 is a wasteful number, since it uses less digits than its factorization.

30033100001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50542 (or 50535 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 30033100001300 its reverse (310000133003), we get a palindrome (30343100134303).

The spelling of 30033100001300 in words is "thirty trillion, thirty-three billion, one hundred million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 10099 14740 18425 20198 36850 40351 40396 50495 73700 80702 100990 111089 161404 201755 201980 222178 252475 403510 443861 444356 504950 555445 676633 807020 887722 1008775 1009900 1110890 1353266 1775444 2017550 2219305 2221780 2703517 2706532 2777225 3383165 4035100 4438610 5407034 5554450 6766330 7442963 8877220 10814068 11096525 11108900 13517585 13532660 14885926 16915825 22193050 27035170 29738687 29771852 33831650 37214815 44386100 54070340 59477374 67587925 67663300 74429630 118954748 135175850 148693435 148859260 186074075 270351700 297386870 372148150 407504749 594773740 743467175 744296300 815009498 1486934350 1630018996 2037523745 2973868700 4075047490 4482552239 8150094980 8965104478 10187618725 17930208956 20375237450 22412761195 27302818183 40750474900 44825522390 54605636366 89651044780 109211272732 112063805975 136514090915 224127611950 273028181830 300331000013 448255223900 546056363660 600662000026 682570454575 1201324000052 1365140909150 1501655000065 2730281818300 3003310000130 6006620000260 7508275000325 15016550000650 30033100001300