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30203131120 = 24519293671867
BaseRepresentation
bin11100001000001111…
…110011010011110000
32212221220112000212221
4130020033303103300
5443324000143440
621513005530424
72116314243601
oct341017632360
985856460787
1030203131120
1111899975498
125a2ab73a14
132b044a7626
141667403da8
15bbb8a0d4a
hex7083f34f0

30203131120 has 160 divisors (see below), whose sum is σ = 76716518400. Its totient is φ = 11014714368.

The previous prime is 30203131093. The next prime is 30203131151. The reversal of 30203131120 is 2113130203.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30203131094 and 30203131103.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 16176427 + ... + 16178293.

It is an arithmetic number, because the mean of its divisors is an integer number (479478240).

Almost surely, 230203131120 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 30203131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38358259200).

30203131120 is an abundant number, since it is smaller than the sum of its proper divisors (46513387280).

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

30203131120 is a wasteful number, since it uses less digits than its factorization.

30203131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30203131120 its reverse (2113130203), we get a palindrome (32316261323).

The spelling of 30203131120 in words is "thirty billion, two hundred three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 367 380 464 551 580 734 760 1102 1160 1468 1520 1835 1867 2204 2320 2755 2936 3670 3734 4408 5510 5872 6973 7340 7468 8816 9335 10643 11020 13946 14680 14936 18670 21286 22040 27892 29360 29872 34865 35473 37340 42572 44080 53215 54143 55784 69730 70946 74680 85144 106430 108286 111568 139460 141892 149360 170288 177365 202217 212860 216572 270715 278920 283784 354730 404434 425720 433144 541430 557840 567568 685189 709460 808868 851440 866288 1011085 1028717 1082860 1370378 1418920 1617736 2022170 2057434 2165720 2740756 2837840 3235472 3425945 4044340 4114868 4331440 5143585 5481512 6851890 8088680 8229736 10287170 10963024 13018591 13703780 16177360 16459472 19870481 20574340 26037182 27407560 39740962 41148680 52074364 54815120 65092955 79481924 82297360 99352405 104148728 130185910 158963848 198704810 208297456 260371820 317927696 377539139 397409620 520743640 755078278 794819240 1041487280 1510156556 1589638480 1887695695 3020313112 3775391390 6040626224 7550782780 15101565560 30203131120