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30023131300020 = 223251747208754911
BaseRepresentation
bin1101101001110010011100…
…00100111000000010110100
310221022011221122022112211200
412310321032010320002310
512413344333103100040
6143504234111132500
76216046116242535
oct664711604700264
9127264848275750
1030023131300020
119625813a10131
12344a825b14130
13139a227780821
1475b1ad49668c
15370e858c2630
hex1b4e4e1380b4

30023131300020 has 144 divisors (see below), whose sum is σ = 98478877206528. Its totient is φ = 7374893460480.

The previous prime is 30023131299881. The next prime is 30023131300087. The reversal of 30023131300020 is 2000313132003.

30023131300020 is a `hidden beast` number, since 30 + 0 + 2 + 313 + 1 + 300 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30023131299966 and 30023131300002.

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, 104233636 + ... + 104521275.

It is an arithmetic number, because the mean of its divisors is an integer number (683881091712).

Almost surely, 230023131300020 is an apocalyptic number.

30023131300020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30023131300020 is an abundant number, since it is smaller than the sum of its proper divisors (68455745906508).

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

30023131300020 is a wasteful number, since it uses less digits than its factorization.

30023131300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208754990 (or 208754985 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30023131300020 its reverse (2000313132003), we get a palindrome (32023444432023).

The spelling of 30023131300020 in words is "thirty trillion, twenty-three billion, one hundred thirty-one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 47 51 60 68 85 90 94 102 141 153 170 180 188 204 235 255 282 306 340 423 470 510 564 612 705 765 799 846 940 1020 1410 1530 1598 1692 2115 2397 2820 3060 3196 3995 4230 4794 7191 7990 8460 9588 11985 14382 15980 23970 28764 35955 47940 71910 143820 208754911 417509822 626264733 835019644 1043774555 1252529466 1878794199 2087549110 2505058932 3131323665 3548833487 3757588398 4175098220 6262647330 7097666974 7515176796 9393970995 9811480817 10646500461 12525294660 14195333948 17744167435 18787941990 19622961634 21293000922 29434442451 31939501383 35488334870 37575883980 39245923268 42586001844 49057404085 53232502305 58868884902 63879002766 70976669740 88303327353 98114808170 106465004610 117737769804 127758005532 147172212255 159697506915 166795173889 176606654706 196229616340 212930009220 294344424510 319395013830 333590347778 353213309412 441516636765 500385521667 588688849020 638790027660 667180695556 833975869445 883033273530 1000771043334 1501156565001 1667951738890 1766066547060 2001542086668 2501927608335 3002313130002 3335903477780 5003855216670 6004626260004 7505782825005 10007710433340 15011565650010 30023131300020