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133230133020231 = 321329435091794041
BaseRepresentation
bin11110010010110000001110…
…110000001000011001000111
3122110201200021001011021112200
4132102300032300020121013
5114430320303023121411
61151205024514445543
740030362616311522
oct3622601660103107
9573650231137480
10133230133020231
11394a6644873205
1212b38a85b938b3
135945717201730
1424c8531129bb9
15106094c8b3e56
hex792c0ec08647

133230133020231 has 96 divisors (see below), whose sum is σ = 219810331540800. Its totient is φ = 77167717079040.

The previous prime is 133230133020217. The next prime is 133230133020293. The reversal of 133230133020231 is 132020331032331.

133230133020231 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 301 + 330 + 2 + 0 + 23 + 1 = 666.

It is not a de Polignac number, because 133230133020231 - 215 = 133230132987463 is a prime.

It is a super-2 number, since 2×1332301330202312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133230133020195 and 133230133020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133230133020931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73365571 + ... + 75159611.

It is an arithmetic number, because the mean of its divisors is an integer number (2289690953550).

Almost surely, 2133230133020231 is an apocalyptic number.

133230133020231 is a deficient number, since it is larger than the sum of its proper divisors (86580198520569).

133230133020231 is a wasteful number, since it uses less digits than its factorization.

133230133020231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794641 (or 1794638 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133230133020231 its reverse (132020331032331), we get a palindrome (265250464052562).

The spelling of 133230133020231 in words is "one hundred thirty-three trillion, two hundred thirty billion, one hundred thirty-three million, twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 13 29 39 43 87 117 129 261 377 387 509 559 1131 1247 1527 1677 3393 3741 4581 5031 6617 11223 14761 16211 19851 21887 44283 48633 59553 65661 132849 145899 191893 196983 284531 575679 634723 853593 1727037 1794041 1904169 2560779 5382123 5712507 8251399 16146369 23322533 24754197 52027189 69967599 74262591 77143763 156081567 209902797 231431289 468244701 676353457 694293867 913166869 1002868919 2029060371 2237169127 2739500607 3008606757 6087181113 6711507381 8218501821 9025820271 11871169297 20134522143 26481839201 29083198651 35613507891 39266175367 79445517603 87249595953 106840523673 117798526101 238336552809 261748787859 344263909613 353395578303 510460279771 1032791728839 1138719085643 1531380839313 3098375186517 3416157256929 4594142517939 10248471770787 14803348113359 44410044340077 133230133020231