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30022031200100 = 22521721099530501
BaseRepresentation
bin1101101001110000011001…
…00000010100111101100100
310221022002002222021200110012
412310320030200110331210
512413340104441400400
6143503533012145352
76216006630452252
oct664701440247544
9127262088250405
1030022031200100
1196252a9a37845
12344a579608258
13139a0b0896524
1475b10732d5d2
15370e1e01bd35
hex1b4e0c814f64

30022031200100 has 108 divisors (see below), whose sum is σ = 69840376401180. Its totient is φ = 11198718720000.

The previous prime is 30022031200081. The next prime is 30022031200103. The reversal of 30022031200100 is 100213022003.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 5506005934144 + 24516025265956 = 2346488^2 + 4951366^2 .

It is not an unprimeable number, because it can be changed into a prime (30022031200103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1615151 + ... + 7915350.

Almost surely, 230022031200100 is an apocalyptic number.

It is an amenable number.

30022031200100 is an abundant number, since it is smaller than the sum of its proper divisors (39818345201080).

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

30022031200100 is a wasteful number, since it uses less digits than its factorization.

30022031200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530658 (or 9530634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30022031200100 its reverse (100213022003), we get a palindrome (30122244222103).

The spelling of 30022031200100 in words is "thirty trillion, twenty-two billion, thirty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 109 170 218 289 340 425 436 545 578 850 1090 1156 1445 1700 1853 2180 2725 2890 3706 5450 5780 7225 7412 9265 10900 14450 18530 28900 31501 37060 46325 63002 92650 126004 157505 185300 315010 630020 787525 1575050 3150100 9530501 19061002 38122004 47652505 95305010 162018517 190610020 238262525 324037034 476525050 648074068 810092585 953050100 1038824609 1620185170 2077649218 2754314789 3240370340 4050462925 4155298436 5194123045 5508629578 8100925850 10388246090 11017259156 13771573945 16201851700 17660018353 20776492180 25970615225 27543147890 35320036706 51941230450 55086295780 68857869725 70640073412 88300091765 103882460900 137715739450 176600183530 275431478900 300220312001 353200367060 441500458825 600440624002 883000917650 1200881248004 1501101560005 1766001835300 3002203120010 6004406240020 7505507800025 15011015600050 30022031200100