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133014022321332 = 223172411723737369
BaseRepresentation
bin11110001111100110111101…
…100011001111010010110100
3122102222000102220202021220110
4132033212331203033102310
5114413300204203240312
61150521444232303020
740005642320552055
oct3617467543172264
9572860386667813
10133014022321332
1139422a25a28519
1212b03012b41a70
13592b22620ab39
1424bbcad4dc72c
151059eeed7e43c
hex78f9bd8cf4b4

133014022321332 has 96 divisors (see below), whose sum is σ = 328813406570880. Its totient is φ = 41705701355520.

The previous prime is 133014022321291. The next prime is 133014022321337. The reversal of 133014022321332 is 233123220410331.

It is a self number, because there is not a number n which added to its sum of digits gives 133014022321332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133014022321337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3559456344 + ... + 3559493712.

It is an arithmetic number, because the mean of its divisors is an integer number (3425139651780).

Almost surely, 2133014022321332 is an apocalyptic number.

133014022321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133014022321332 is an abundant number, since it is smaller than the sum of its proper divisors (195799384249548).

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

133014022321332 is a wasteful number, since it uses less digits than its factorization.

133014022321332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47041 (or 47039 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 133014022321332 its reverse (233123220410331), we get a palindrome (366137242731663).

The spelling of 133014022321332 in words is "one hundred thirty-three trillion, fourteen billion, twenty-two million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 2411 4822 7233 7237 9644 14466 14474 21711 28932 28948 37369 40987 43422 74738 81974 86844 112107 122961 123029 149476 163948 224214 245922 246058 369087 448428 491844 492116 635273 738174 1270546 1476348 1905819 2541092 3811638 7623276 17448407 34896814 52345221 69793628 90096659 104690442 180193318 209380884 270289977 270439453 296622919 360386636 540579954 540878906 593245838 811318359 889868757 1081159908 1081757812 1186491676 1531643203 1622636718 1779737514 3063286406 3245273436 3559475028 4594929609 4597470701 6126572812 9189859218 9194941402 13792412103 18379718436 18389882804 27584824206 55169648412 652029521183 1304059042366 1956088563549 2608118084732 3912177127098 7824354254196 11084501860111 22169003720222 33253505580333 44338007440444 66507011160666 133014022321332