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30132020100 = 223527131103737
BaseRepresentation
bin11100000100000000…
…100010001110000100
32212202221201012220110
4130010000202032010
5443202244120400
621501545433020
72114461642050
oct340400421604
985687635813
1030132020100
1111862815756
125a0b19b770
132ac283a1c0
14165bbb2c60
15bb5505e50
hex704022384

30132020100 has 144 divisors (see below), whose sum is σ = 107300993408. Its totient is φ = 6357519360.

The previous prime is 30132020063. The next prime is 30132020131. The reversal of 30132020100 is 102023103.

It is a happy number.

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

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, 524569 + ... + 579168.

Almost surely, 230132020100 is an apocalyptic number.

30132020100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30132020100 is an abundant number, since it is smaller than the sum of its proper divisors (77168973308).

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

30132020100 is a wasteful number, since it uses less digits than its factorization.

30132020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103774 (or 1103767 counting only the distinct ones).

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

Adding to 30132020100 its reverse (102023103), we get a palindrome (30234043203).

The spelling of 30132020100 in words is "thirty billion, one hundred thirty-two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 1103737 2207474 3311211 4414948 5518685 6622422 7726159 11037370 13244844 14348581 15452318 16556055 22074740 23178477 27593425 28697162 30904636 33112110 38630795 43045743 46356954 55186850 57394324 66224220 71742905 77261590 82780275 86091486 92713908 100440067 110373700 115892385 143485810 154523180 165560550 172182972 193153975 200880134 215228715 231784770 286971620 301320201 331121100 358714525 386307950 401760268 430457430 463569540 502200335 579461925 602640402 717429050 772615900 860914860 1004400670 1076143575 1158923850 1205280804 1434858100 1506601005 2008801340 2152287150 2317847700 2511001675 3013202010 4304574300 5022003350 6026404020 7533005025 10044006700 15066010050 30132020100