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30201313220100 = 223352111016879233
BaseRepresentation
bin1101101110111110010101…
…00010111101011000000100
310221221012212110000221022000
412313133022202331120010
512424304242141020400
6144122143004105300
76234654460464231
oct667371242753004
9127835773027260
1030201313220100
119694339a69a20
123479272835230
1313b0c82844829
14765a73a30788
153759136a0600
hex1b77ca8bd604

30201313220100 has 144 divisors (see below), whose sum is σ = 105918141013440. Its totient is φ = 7321530470400.

The previous prime is 30201313220081. The next prime is 30201313220123. The reversal of 30201313220100 is 102231310203.

30201313220100 is a `hidden beast` number, since 30 + 2 + 0 + 1 + 313 + 220 + 100 = 666.

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

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, 508409917 + ... + 508469316.

Almost surely, 230201313220100 is an apocalyptic number.

30201313220100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30201313220100 is an abundant number, since it is smaller than the sum of its proper divisors (75716827793340).

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

30201313220100 is a wasteful number, since it uses less digits than its factorization.

30201313220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016879267 (or 1016879254 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30201313220100 its reverse (102231310203), we get a palindrome (30303544530303).

The spelling of 30201313220100 in words is "thirty trillion, two hundred one billion, three hundred thirteen million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 1016879233 2033758466 3050637699 4067516932 5084396165 6101275398 9151913097 10168792330 11185671563 12202550796 15253188495 18303826194 20337584660 22371343126 25421980825 27455739291 30506376990 33557014689 36607652388 44742686252 45759565485 50843961650 54911478582 55928357815 61012753980 67114029378 76265942475 91519130970 100671044067 101687923300 109822957164 111856715630 134228058756 137278696455 152531884950 167785073445 183038261940 201342088134 223713431260 228797827425 274557392910 279641789075 302013132201 305063769900 335570146890 402684176268 457595654850 503355220335 549114785820 559283578150 604026264402 671140293780 686393482275 838925367225 915191309700 1006710440670 1118567156300 1208052528804 1372786964550 1510065661005 1677850734450 2013420881340 2516776101675 2745573929100 3020131322010 3355701468900 5033552203350 6040262644020 7550328305025 10067104406700 15100656610050 30201313220100