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133222101324 = 2231367111711411
BaseRepresentation
bin111110000010010100…
…1111111000101001100
3110201212110212221200220
41330010221333011030
54140314324220244
6141111255551340
712424240114524
oct1740451770514
9421773787626
10133222101324
1151554448594
122199b98b550
13c7415b1070
14663b3a8684
1536eab7a319
hex1f04a7f14c

133222101324 has 96 divisors (see below), whose sum is σ = 340093668096. Its totient is φ = 40339918080.

The previous prime is 133222101323. The next prime is 133222101343. The reversal of 133222101324 is 423101222331.

It is a junction number, because it is equal to n+sod(n) for n = 133222101294 and 133222101303.

It is not an unprimeable number, because it can be changed into a prime (133222101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11669179 + ... + 11680589.

It is an arithmetic number, because the mean of its divisors is an integer number (3542642376).

Almost surely, 2133222101324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133222101324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170046834048).

133222101324 is an abundant number, since it is smaller than the sum of its proper divisors (206871566772).

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

133222101324 is a wasteful number, since it uses less digits than its factorization.

133222101324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615 (or 12613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133222101324 its reverse (423101222331), we get a palindrome (556323323655).

The spelling of 133222101324 in words is "one hundred thirty-three billion, two hundred twenty-two million, one hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1117 1742 2234 2613 3351 3484 4468 5226 6702 10452 11411 13404 14521 22822 29042 34233 43563 45644 58084 68466 74839 87126 136932 148343 149678 174252 224517 296686 299356 445029 449034 593372 764537 890058 898068 972907 1529074 1780116 1945814 2293611 2918721 3058148 3891628 4587222 5837442 9174444 9938981 11674884 12746087 19877962 25492174 29816943 38238261 39755924 50984348 59633886 76476522 119267772 152953044 165699131 331398262 497097393 662796524 853987829 994194786 1707975658 1988389572 2561963487 3415951316 5123926974 10247853948 11101841777 22203683554 33305525331 44407367108 66611050662 133222101324