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133113003033231 = 33136193257188107
BaseRepresentation
bin11110010001000011001001…
…010000101100001010001111
3122110022110221001102102202000
4132101003021100230022033
5114421410412234030411
61151035134104403343
740016045206664124
oct3621031120541217
9573273831372660
10133113003033231
11394609a8a66361
1212b1a237476553
13593766b7b9010
1424c29bd03074b
15105c894877956
hex7910c942c28f

133113003033231 has 64 divisors (see below), whose sum is σ = 212783555980800. Its totient is φ = 81757813978368.

The previous prime is 133113003033191. The next prime is 133113003033277. The reversal of 133113003033231 is 132330300311331.

133113003033231 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 30 + 0 + 303 + 323 + 1 = 666.

It is not a de Polignac number, because 133113003033231 - 225 = 133112969478799 is a prime.

It is a super-2 number, since 2×1331130030332312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133113003033195 and 133113003033204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113003033331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707551080 + ... + 707739186.

It is an arithmetic number, because the mean of its divisors is an integer number (3324743062200).

Almost surely, 2133113003033231 is an apocalyptic number.

133113003033231 is a deficient number, since it is larger than the sum of its proper divisors (79670552947569).

133113003033231 is a wasteful number, since it uses less digits than its factorization.

133113003033231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192005 (or 191999 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133113003033231 its reverse (132330300311331), we get a palindrome (265443303344562).

The spelling of 133113003033231 in words is "one hundred thirty-three trillion, one hundred thirteen billion, three million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 619 1857 3257 5571 8047 9771 16713 24141 29313 42341 72423 87939 127023 188107 217269 381069 564321 1143207 1692963 2016083 2445391 5078889 6048249 7336173 18144747 22008519 26209079 54434241 66025557 78627237 116438233 235881711 349314699 612664499 707645133 1047944097 1513697029 1837993497 3143832291 4541091087 5513980491 7964638487 13623273261 16541941473 23893915461 40869819783 71681746383 215045239149 379239324881 1137717974643 3413153923929 4930111223453 10239461771787 14790333670359 44371001011077 133113003033231