Search a number
-
+
133034020119 = 327111328912763
BaseRepresentation
bin111101111100101110…
…0100000110100010111
3110201101100222102210100
41323321130200310113
54134423202120434
6141040500425143
712416464341030
oct1737134406427
9421340872710
10133034020119
1151468266380
12219489a81b3
13c71163ab00
146620409a87
1536d93c7699
hex1ef9720d17

133034020119 has 144 divisors (see below), whose sum is σ = 262358403840. Its totient is φ = 63070824960.

The previous prime is 133034020099. The next prime is 133034020121. The reversal of 133034020119 is 911020430331.

It is not a de Polignac number, because 133034020119 - 211 = 133034018071 is a prime.

It is a super-2 number, since 2×1330340201192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133034020092 and 133034020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133034020139) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10417032 + ... + 10429794.

It is an arithmetic number, because the mean of its divisors is an integer number (1821933360).

Almost surely, 2133034020119 is an apocalyptic number.

133034020119 is a deficient number, since it is larger than the sum of its proper divisors (129324383721).

133034020119 is a wasteful number, since it uses less digits than its factorization.

133034020119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12902 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 133034020119 in words is "one hundred thirty-three billion, thirty-four million, twenty thousand, one hundred nineteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 89 91 99 117 143 169 231 267 273 429 507 623 693 801 819 979 1001 1157 1183 1287 1521 1859 1869 2937 3003 3471 3549 5577 5607 6853 8099 8811 9009 10413 10647 12727 12763 13013 15041 16731 20559 24297 38181 38289 39039 45123 61677 72891 89089 89341 105287 114543 114867 117117 135369 140393 165451 165919 267267 268023 315861 421179 496353 497757 801801 804069 947583 982751 1135907 1158157 1161433 1263537 1489059 1493271 1825109 2156947 2948253 3407721 3474471 3484299 5475327 6470841 7951349 8844759 10223163 10423413 10452897 12494977 12775763 14766791 15098629 16425981 19412523 23726417 23854047 37484931 38327289 44300373 45295887 71179251 71562141 87464839 103367537 112454793 114981867 132901119 135887661 162434701 166084919 191968283 213537753 262394517 310102611 487304103 498254757 575904849 787183551 930307833 1137042907 1343777981 1461912309 1494764271 1727714547 2111651113 3411128721 4031333943 6334953339 10233386163 12094001829 14781557791 19004860017 44344673373 133034020119