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30130022100 = 22352473116871
BaseRepresentation
bin11100000011111000…
…111010011011010100
32212202210221201011110
4130003320322123110
5443201241201400
621501434535020
72114435651013
oct340370723324
985683851143
1030130022100
1111861680612
125a0a597470
132ac22ba959
14165b812a7a
15bb525de50
hex703e3a6d4

30130022100 has 144 divisors (see below), whose sum is σ = 89330282496. Its totient is φ = 7837296000.

The previous prime is 30130022071. The next prime is 30130022113. The reversal of 30130022100 is 122003103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4381665 + ... + 4388535.

It is an arithmetic number, because the mean of its divisors is an integer number (620349184).

Almost surely, 230130022100 is an apocalyptic number.

30130022100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30130022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44665141248).

30130022100 is an abundant number, since it is smaller than the sum of its proper divisors (59200260396).

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

30130022100 is a wasteful number, since it uses less digits than its factorization.

30130022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30130022100 its reverse (122003103), we get a palindrome (30252025203).

The spelling of 30130022100 in words is "thirty billion, one hundred thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 311 470 564 622 705 933 940 1175 1244 1410 1555 1866 2350 2820 3110 3525 3732 4665 4700 6220 6871 7050 7775 9330 13742 14100 14617 15550 18660 20613 23325 27484 29234 31100 34355 41226 43851 46650 58468 68710 73085 82452 87702 93300 103065 137420 146170 171775 175404 206130 219255 292340 322937 343550 365425 412260 438510 515325 645874 687100 730850 877020 968811 1030650 1096275 1291748 1461700 1614685 1937622 2061300 2136881 2192550 3229370 3875244 4273762 4385100 4844055 6410643 6458740 8073425 8547524 9688110 10684405 12821286 16146850 19376220 21368810 24220275 25642572 32053215 32293700 42737620 48440550 53422025 64106430 96881100 100433407 106844050 128212860 160266075 200866814 213688100 301300221 320532150 401733628 502167035 602600442 641064300 1004334070 1205200884 1506501105 2008668140 2510835175 3013002210 5021670350 6026004420 7532505525 10043340700 15065011050 30130022100