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30311304100 = 22527114196013
BaseRepresentation
bin11100001110101100…
…011100101110100100
32220020110001210022121
4130032230130232210
5444034143212400
621531432235324
72122066555660
oct341654345644
986213053277
1030311304100
1111944a39450
125a5b23bb44
132b20a201cc
1416779218a0
15bc611c21a
hex70eb1cba4

30311304100 has 144 divisors (see below), whose sum is σ = 84006873216. Its totient is φ = 9217152000.

The previous prime is 30311304091. The next prime is 30311304109. The reversal of 30311304100 is 140311303.

It is an interprime number because it is at equal distance from previous prime (30311304091) and next prime (30311304109).

It is not an unprimeable number, because it can be changed into a prime (30311304109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267694 + ... + 363706.

It is an arithmetic number, because the mean of its divisors is an integer number (583381064).

Almost surely, 230311304100 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 30311304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42003436608).

30311304100 is an abundant number, since it is smaller than the sum of its proper divisors (53695569116).

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

30311304100 is a wasteful number, since it uses less digits than its factorization.

30311304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96086 (or 96079 counting only the distinct ones).

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

Adding to 30311304100 its reverse (140311303), we get a palindrome (30451615403).

The spelling of 30311304100 in words is "thirty billion, three hundred eleven million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 41 44 50 55 70 77 82 100 110 140 154 164 175 205 220 275 287 308 350 385 410 451 550 574 700 770 820 902 1025 1100 1148 1435 1540 1804 1925 2050 2255 2870 3157 3850 4100 4510 5740 6314 7175 7700 9020 11275 12628 14350 15785 22550 28700 31570 45100 63140 78925 96013 157850 192026 315700 384052 480065 672091 960130 1056143 1344182 1920260 2112286 2400325 2688364 3360455 3936533 4224572 4800650 5280715 6720910 7393001 7873066 9601300 10561430 13441820 14786002 15746132 16802275 19682665 21122860 26403575 27555731 29572004 33604550 36965005 39365330 43301863 52807150 55111462 67209100 73930010 78730660 86603726 98413325 105614300 110222924 137778655 147860020 173207452 184825025 196826650 216509315 275557310 303113041 369650050 393653300 433018630 551114620 606226082 688893275 739300100 866037260 1082546575 1212452164 1377786550 1515565205 2165093150 2755573100 3031130410 4330186300 6062260820 7577826025 15155652050 30311304100