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30003300211000 = 2353291576589787
BaseRepresentation
bin1101101001001101100000…
…00011010001100100111000
310221020021202120121211220011
412310212300003101210320
512413033224323223000
6143451154214111304
76214444514620504
oct664466003214470
9127207676554804
1030003300211000
11961836786a466
123446a1064b534
1313983b709661c
1475a24b7bd304
153706c48be2ba
hex1b49b00d1938

30003300211000 has 128 divisors (see below), whose sum is σ = 73091292580800. Its totient is φ = 11513674099200.

The previous prime is 30003300210997. The next prime is 30003300211061. The reversal of 30003300211000 is 11200330003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1258107 + ... + 7847893.

Almost surely, 230003300211000 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 30003300211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36545646290400).

30003300211000 is an abundant number, since it is smaller than the sum of its proper divisors (43087992369800).

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

30003300211000 is a wasteful number, since it uses less digits than its factorization.

30003300211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589994 (or 6589980 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 30003300211000 its reverse (11200330003), we get a palindrome (30014500541003).

The spelling of 30003300211000 in words is "thirty trillion, three billion, three hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 157 200 232 250 290 314 500 580 628 725 785 1000 1160 1256 1450 1570 2900 3140 3625 3925 4553 5800 6280 7250 7850 9106 14500 15700 18212 19625 22765 29000 31400 36424 39250 45530 78500 91060 113825 157000 182120 227650 455300 569125 910600 1138250 2276500 4553000 6589787 13179574 26359148 32948935 52718296 65897870 131795740 164744675 191103823 263591480 329489350 382207646 658978700 764415292 823723375 955519115 1034596559 1317957400 1528830584 1647446750 1911038230 2069193118 3294893500 3822076460 4138386236 4777595575 5172982795 6589787000 7644152920 8276772472 9555191150 10345965590 19110382300 20691931180 23887977875 25864913975 30003300211 38220764600 41383862360 47775955750 51729827950 60006600422 95551911500 103459655900 120013200844 129324569875 150016501055 191103823000 206919311800 240026401688 258649139750 300033002110 517298279500 600066004220 750082505275 1034596559000 1200132008440 1500165010550 3000330021100 3750412526375 6000660042200 7500825052750 15001650105500 30003300211000