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133222100312 = 237172917327893
BaseRepresentation
bin111110000010010100…
…1111110110101011000
3110201212110212220022102
41330010221332311120
54140314324202222
6141111255542532
712424240111550
oct1740451766530
9421773786272
10133222100312
1151554447854
122199b98aa48
13c7415b0772
14663b3a8160
1536eab79d92
hex1f04a7ed58

133222100312 has 128 divisors (see below), whose sum is σ = 314510428800. Its totient is φ = 51581902848.

The previous prime is 133222100311. The next prime is 133222100321. The reversal of 133222100312 is 213001222331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133222100311) 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, 4762238 + ... + 4790130.

It is an arithmetic number, because the mean of its divisors is an integer number (2457112725).

Almost surely, 2133222100312 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 133222100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157255214400).

133222100312 is an abundant number, since it is smaller than the sum of its proper divisors (181288328488).

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

133222100312 is a wasteful number, since it uses less digits than its factorization.

133222100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28125 (or 28121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 133222100312 its reverse (213001222331), we get a palindrome (346223322643).

The spelling of 133222100312 in words is "one hundred thirty-three billion, two hundred twenty-two million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 173 203 232 238 346 406 476 493 692 812 952 986 1211 1384 1624 1972 2422 2941 3451 3944 4844 5017 5882 6902 9688 10034 11764 13804 20068 20587 23528 27608 27893 35119 40136 41174 55786 70238 82348 85289 111572 140476 164696 170578 195251 223144 280952 341156 390502 474181 597023 682312 781004 808897 948362 1194046 1562008 1617794 1896724 2388092 3235588 3319267 3793448 4776184 4825489 5662279 6471176 6638534 9650978 11324558 13277068 13751249 19301956 22649116 26554136 27502498 33778423 38603912 45298232 55004996 67556846 82033313 96258743 110009992 135113692 139939181 164066626 192517486 270227384 279878362 328133252 385034972 559756724 574233191 656266504 770069944 979574267 1119513448 1148466382 1959148534 2296932764 2378966077 3918297068 4593865528 4757932154 7836594136 9515864308 16652762539 19031728616 33305525078 66611050156 133222100312